{ "model": { "rank": 6010, "code": "thing-q240553", "model_id": "vr.tr.mechanics-of-materials", "name": "mechanics of materials", "purpose": "Enable an AI agent to recognise mechanics-of-materials knowledge, assess whether its assumptions and evidence support a particular application, and identify defensible analyses or necessary further investigation.", "family": "Thing Registry", "category": "Information and virtual systems", "status": "research-draft", "kind": "thing", "plane": "INF", "domain": "INF.KNW", "industry": "", "version": "", "url": "/models/thing/q240553/", "tier": 2, "score": 63, "payload": { "layer": "wikidata", "aliases": [ "fracture mechanics", "linearized elastic fracture mechanics", "Crack growth resistance curve", "toughening", "intergranular fracture" ], "aliasCount": 5, "merged": 5, "knownIn": 63, "facets": null, "markers": [], "lexicalClass": "", "senseRank": null, "alsoRegisteredAs": null, "source": { "dataset": "wikidata", "item": "Q240553", "url": "https://www.wikidata.org/wiki/Q240553", "license": "CC0 1.0" } }, "research": { "vercy": "1.0-draft", "publication": { "status": "research-draft", "adjudicationStatus": "unreviewed", "publishableCanonical": false, "generatedAt": "2026-09-07T10:47:28Z", "providers": [ "Codex", "Grok" ], "missingProviders": [], "pass": 2, "cost": { "grok": { "usd": 0.03459148, "turns": 3, "seconds": 322.3, "error": null }, "codex": { "seconds": 139.9, "error": "Reading additional input from stdin...\nOpenAI Codex v0.153.3\n--------\nworkdir: R:\\02_PROJECTS\\02_Meta_Models_Platforms\\Ver.cy\\current\\thing-registry-backlog\nmodel: gpt-6-astra\nprovider: openai\napproval: never\nsandbox: read-only\nreasoning effort: none\nreasoning summaries: none\nsession id: 01a07b76-04e4-7643-adb1-59c8dfab1bc3\n--------\nuser\nYou are drafting a Vercy meta-model for one registered thing. Answer as JSON only, no prose around it.\n\nThing: mechanics of materials\nRegistry id: vr.tr.mechanics-of-materials\nPlane / domain: INF / INF.KNW\nRegistry definition: (none recorded)\nNames folded into" } } }, "metaModel": { "id": "THING-Q240553", "registryId": "vr.tr.mechanics-of-materials", "name": "mechanics of materials", "version": "0.1.0-research.1", "entryKind": "thing", "family": "Thing Registry", "domain": [ "INF.KNW" ], "status": "research-draft" }, "canonicalUrl": "https://ver.cy/models/thing/q240553/", "model": { "registry_id": "vr.tr.mechanics-of-materials", "name": "mechanics of materials", "purpose": "Enable an AI agent to recognise mechanics-of-materials knowledge, assess whether its assumptions and evidence support a particular application, and identify defensible analyses or necessary further investigation.", "definition": "Mechanics of materials (also called strength of materials or mechanics of deformable bodies) is the engineering analysis that obtains internal stresses, strains and deflections in load-bearing members - bars, shafts, beams, columns and similar components - from equilibrium, kinematic assumptions and a constitutive relation, in order to judge strength, stiffness and stability.", "scope_statement": "This model owns mechanics of materials as a registered knowledge domain: its concepts, problem classes, idealisations, methods, evidence and applicability boundaries for relating loads to internal forces, stresses, strains, deformation and mechanical failure in deformable solids and members.", "in_scope": [ "Relationships among external loading, internal force resultants, stress, strain and displacement.", "Member and continuum idealisations used to analyse axial loading, torsion, bending, shear and combined loading.", "Constitutive descriptions connecting material response to deformation, time, temperature and loading history.", "Criteria and methods for assessing stiffness, strength, instability and damage within stated applicability limits.", "Evidence, assumptions, uncertainty and validation needed to judge whether an analysis method applies." ], "out_of_scope": [ "Manufacturing, composition and microstructure knowledge owned by materials science and process models.", "The identity, custody, geometry and inspection history of an individual component or specimen.", "Whole-structure configuration, load-path coordination and system design owned by structural engineering models.", "Rigid-body motion and equilibrium problems that do not require deformation or material response.", "Certification, statutory acceptance and organisational authority to approve a design.", "General numerical solver implementation and computing infrastructure." ], "distinguishing_features": [ "A problem belongs here when deformation, stress, strain or material failure is needed to answer it; rigid-body equilibrium alone is insufficient.", "A knowledge item belongs here when it relates loading and constraints to mechanical response; a composition or processing description alone belongs primarily to materials science.", "A method must identify the solid or member idealisation on which its predictions depend; a free-standing numerical output is not sufficient mechanics-of-materials knowledge.", "A component analysis belongs here insofar as it explains mechanical response and limits; the component's asset record and whole-system design remain neighbouring concerns.", "The entry represents a knowledge domain containing multiple response models and methods, rather than one material, one specimen or one constitutive law." ], "characteristics": [ { "name": "Problem family", "kind": "category", "unit_or_values": "Axial loading; torsion; bending; transverse shear; combined loading; contact; stability; other explicitly identified family", "why_it_matters": "Connects a practical question to relevant methods and identifies missing loading mechanisms." }, { "name": "Mechanical idealisation", "kind": "category", "unit_or_values": "Bar; beam; shaft; plate; shell; two-dimensional continuum; three-dimensional continuum", "why_it_matters": "Determines which deformation modes and stress components the representation can resolve." }, { "name": "Kinematic regime", "kind": "category", "unit_or_values": "Small or finite strain; small or large rotation; stated displacement assumptions", "why_it_matters": "Helps prevent use of a formulation beyond its geometric assumptions." }, { "name": "Constitutive regime", "kind": "category", "unit_or_values": "Linear elastic; nonlinear elastic; elastoplastic; viscoelastic; creep; damage-dependent; other specified response", "why_it_matters": "Establishes which material responses and loading-history effects an analysis can represent." }, { "name": "Material symmetry assumption", "kind": "category", "unit_or_values": "Isotropic; transversely isotropic; orthotropic; general anisotropic; unspecified", "why_it_matters": "Determines whether orientation-dependent properties and coupling must be represented." }, { "name": "Stress and strain measures", "kind": "category", "unit_or_values": "Named stress and strain definitions, reference configuration and sign convention; stress in Pa and strain dimensionless", "why_it_matters": "Makes equations and results comparable without silently mixing incompatible measures." }, { "name": "Applicability ratios", "kind": "measurement", "unit_or_values": "Dimensionless ratios such as length to section depth, thickness to curvature radius, or load timescale to response timescale; thresholds require method-specific evidence", "why_it_matters": "Provides concrete checks on idealisations without assuming universal cutoffs." }, { "name": "Property evidence", "kind": "relation", "unit_or_values": "Links from a property or response law to its test method, material condition, orientation, environment and supporting source", "why_it_matters": "Prevents material parameters from being transferred between incompatible conditions." }, { "name": "Method assurance state", "kind": "state", "unit_or_values": "Unassessed; assumptions checked; calculation verified; compared with applicable evidence; outside supported range", "why_it_matters": "Separates having a result from having grounds to rely on it." } ], "affordances": [ "Classify a mechanical-response question and identify the quantities needed to answer it.", "Select candidate idealisations and methods while exposing their assumptions and exclusions.", "Identify missing boundary conditions, material properties, loading history or evidence before analysis.", "Check equilibrium, compatibility, constitutive consistency, units and limiting behaviour of a proposed solution.", "Compare predicted response with explicitly sourced criteria and report the scope and uncertainty of the comparison.", "Recommend a more suitable formulation, targeted test or specialist review when applicability cannot be established." ] }, "sources": [ { "id": "wikipedia-strength-of-materials", "title": "Strength of materials. Wikipedia", "url": "https://en.wikipedia.org/wiki/Strength_of_materials", "what_it_supports": "Field definition as calculation of stresses and strains in beams, columns and shafts using yield strength, ultimate strength, Young's modulus and Poisson's ratio; Timoshenko as a founding figure; SI unit MPa versus US customary psi.", "url_status": "live" }, { "id": "wikidata-q1080293", "title": "solid mechanics (Q1080293). Wikidata", "url": "https://www.wikidata.org/wiki/Q1080293", "what_it_supports": "Nearest Wikidata item (mechanics of solids): instance of a branch of mechanics and of materials science; part of continuum mechanics; parts elasticity, plasticity and viscoelasticity; different from rigid-body mechanics; GND 4129367-8.", "url_status": "live" }, { "id": "britannica-mechanics-of-solids", "title": "Mechanics of solids. Encyclopaedia Britannica", "url": "https://www.britannica.com/science/mechanics-of-solids", "what_it_supports": "Science of stressing, deformation and failure of solid materials and structures; triad of momentum balance and Cauchy stress, strain from displacement gradients, and experimental constitutive relations; isotropic linear elasticity with E and ν.", "url_status": "blocked" }, { "id": "wikipedia-youngs-modulus", "title": "Young's modulus. Wikipedia", "url": "https://en.wikipedia.org/wiki/Young%27s_modulus", "what_it_supports": "E = σ/ε in the linear elastic range, SI unit pascal with typical values in gigapascals; distinction of material stiffness from strength and from geometric stiffness; ASTM E111 as the modulus test method.", "url_status": "live" }, { "id": "wikipedia-rdm", "title": "Résistance des matériaux. Wikipédia (French)", "url": "https://fr.wikipedia.org/wiki/R%C3%A9sistance_des_mat%C3%A9riaux", "what_it_supports": "Francophone name RDM as a particular branch of continuum mechanics for stresses and deformations in machines and civil structures; elastic then plastic then rupture sequence; linear-elastic-homogeneous-isotropic working hypotheses.", "url_status": "live" }, { "id": "dowling-mechanical-behavior", "title": "Mechanical Behavior of Materials, 5th ed. (Norman E. Dowling). Pearson", "url": "https://api.pageplace.de/preview/DT0400.9781292279374_A39514644/preview-9781292279374_A39514644.pdf", "what_it_supports": "States that elementary mechanics of materials is also called strength of materials or mechanics of deformable bodies, and is the linear-elastic analysis of stresses and strains in components such as beams and shafts.", "url_status": "live" } ], "structure": { "bundles": [ { "id": "domain-and-problem-framing", "name": "Domain and problem framing", "description": "Records what mechanics-of-materials knowledge addresses and how a practical question becomes a deformable-body problem.", "rationale": "An agent must distinguish this knowledge domain from adjacent disciplines and know what mechanical question an analysis is intended to resolve.", "layers": [ { "id": "domain-boundaries", "name": "Domain boundaries", "description": "Locates concepts and methods within mechanics of materials and its neighbouring domains.", "findings": [ { "id": "deformable-body-relevance", "name": "Deformable-body relevance", "description": "Records why stress, strain, deformation or mechanical failure is necessary to the question.", "questions": [ { "text": "Which part of the question requires deformable-body response beyond rigid-body equilibrium?", "kind": "definition", "id": "deformable-body-relevance-q01" }, { "text": "Which parts belong to materials science, component records, structural systems or approval authorities?", "kind": "boundary", "id": "deformable-body-relevance-q02" } ] } ] }, { "id": "analysis-intent", "name": "Analysis intent", "description": "Connects the intended decision to the response quantities and physical extent of the problem.", "findings": [ { "id": "response-targets", "name": "Response targets", "description": "Records whether the question concerns displacement, stress, load capacity, stability, damage initiation or another specified response.", "questions": [ { "text": "Which response quantities, locations and loading stages must be resolved to answer the question?", "kind": "measurement", "id": "response-targets-q01" }, { "text": "What decision will the result inform, and what accuracy or uncertainty is acceptable for that decision?", "kind": "action", "id": "response-targets-q02" } ] } ] } ] }, { "id": "physical-idealisation-and-loading", "name": "Physical idealisation and loading", "description": "Records the simplifications, loading and constraints that define an analysable mechanical problem.", "rationale": "A mechanically correct calculation can still be inapplicable when its member model, loading representation or supports misrepresent the problem.", "layers": [ { "id": "geometry-and-kinematics", "name": "Geometry and kinematics", "description": "Captures dimensional reduction, retained deformation modes and geometric assumptions.", "findings": [ { "id": "idealisation-validity", "name": "Idealisation validity", "description": "Records the grounds for choosing a bar, beam, plate, shell or continuum representation and a small- or finite-deformation formulation.", "questions": [ { "text": "Which geometric proportions, deformation modes and regions of interest support the selected idealisation?", "kind": "boundary", "id": "idealisation-validity-q01" }, { "text": "What evidence supports neglecting effects such as shear deformation, warping, local three-dimensional stress or large rotation?", "kind": "provenance", "id": "idealisation-validity-q02" } ] } ] }, { "id": "loads-and-constraints", "name": "Loads and constraints", "description": "Captures applied actions, support behaviour, interfaces and relevant loading history.", "findings": [ { "id": "boundary-value-definition", "name": "Boundary-value definition", "description": "Records forces, moments, tractions, prescribed displacements and other mechanical drivers together with their spatial and temporal specification.", "questions": [ { "text": "How are load magnitudes, distributions, directions, combinations and histories specified, including thermal or imposed-strain effects where relevant?", "kind": "measurement", "id": "boundary-value-definition-q01" }, { "text": "Which restraints, contact conditions or interface behaviours are known, idealised or unresolved, and do they leave rigid-body motion or unintended restraint?", "kind": "boundary", "id": "boundary-value-definition-q02" } ] } ] } ] }, { "id": "mechanical-fields-and-material-response", "name": "Mechanical fields and material response", "description": "Records the mechanical quantities and constitutive knowledge needed to connect loading to deformation.", "rationale": "An agent must distinguish balance and compatibility requirements from material-specific response assumptions and keep their quantities consistent.", "layers": [ { "id": "field-and-resultant-relations", "name": "Field and resultant relations", "description": "Connects displacement, strain, stress and section resultants through explicitly named definitions and assumptions.", "findings": [ { "id": "mechanical-consistency", "name": "Mechanical consistency", "description": "Records how the formulation satisfies equilibrium and kinematic compatibility and how local fields relate to integrated forces and moments.", "questions": [ { "text": "Which stress and strain measures, axes, reference configuration and sign conventions does the formulation use?", "kind": "definition", "id": "mechanical-consistency-q01" }, { "text": "How are equilibrium, displacement compatibility and consistency between section resultants and stress fields checked?", "kind": "measurement", "id": "mechanical-consistency-q02" } ] } ] }, { "id": "constitutive-behaviour", "name": "Constitutive behaviour", "description": "Captures material laws, parameter evidence and the conditions under which those laws apply.", "findings": [ { "id": "response-law-support", "name": "Response-law support", "description": "Records the selected constitutive regime, required parameters and dependence on direction, environment and history.", "questions": [ { "text": "Which response law and parameters are required, and which sources or tests support them for the relevant material condition and orientation?", "kind": "provenance", "id": "response-law-support-q01" }, { "text": "Over what strain, stress, temperature, loading-rate and history ranges is the law supported, and which relevant behaviours does it omit?", "kind": "boundary", "id": "response-law-support-q02" } ] } ] } ] }, { "id": "response-limits-and-failure", "name": "Response limits and failure", "description": "Records the distinct mechanisms and criteria used to judge deformation, strength, stability and accumulated damage.", "rationale": "Different mechanisms require different evidence and response measures; a single undifferentiated strength value cannot establish mechanical adequacy.", "layers": [ { "id": "deformation-and-strength-limits", "name": "Deformation and strength limits", "description": "Separates limits on displacement or permanent deformation from material strength criteria.", "findings": [ { "id": "criterion-selection", "name": "Criterion selection", "description": "Records the physical meaning, source and applicability of each deformation, yield or rupture criterion.", "questions": [ { "text": "Which displacement, strain, yield or rupture criterion addresses the intended limit, and why is it suitable for the material and stress state?", "kind": "definition", "id": "criterion-selection-q01" }, { "text": "Where do the limiting values and any safety factors come from, and how is the comparison or margin defined?", "kind": "provenance", "id": "criterion-selection-q02" } ] } ] }, { "id": "instability-and-history-dependent-failure", "name": "Instability and history-dependent failure", "description": "Captures mechanisms that depend on geometry, imperfections, defects, time or repeated loading.", "findings": [ { "id": "mechanism-specific-assessment", "name": "Mechanism-specific assessment", "description": "Records whether buckling, fatigue, fracture, creep or interacting mechanisms require dedicated assessment.", "questions": [ { "text": "Which potential mechanisms require information about imperfections, crack geometry, cycle history, dwell time or environmental exposure?", "kind": "boundary", "id": "mechanism-specific-assessment-q01" }, { "text": "What additional analysis or evidence is needed before a static stress or deformation result can support a capacity or life judgement?", "kind": "action", "id": "mechanism-specific-assessment-q02" } ] } ] } ] }, { "id": "method-evidence-and-use", "name": "Method evidence and use", "description": "Records how methods are justified, calculations checked and results bounded for practical use.", "rationale": "An agent needs grounds for choosing and trusting a method, plus explicit limits on what its result permits it to conclude.", "layers": [ { "id": "method-provenance-and-verification", "name": "Method provenance and verification", "description": "Captures the origin of equations and procedures and checks that they have been applied and solved correctly.", "findings": [ { "id": "traceable-calculation", "name": "Traceable calculation", "description": "Records method references, assumptions and verification appropriate to analytical, experimental or numerical approaches.", "questions": [ { "text": "Which consulted source defines the method, its equations and its applicability assumptions?", "kind": "provenance", "id": "traceable-calculation-q01" }, { "text": "Which unit checks, balance checks, limiting cases, benchmark comparisons or discretisation studies support the calculation?", "kind": "measurement", "id": "traceable-calculation-q02" } ] } ] }, { "id": "validation-uncertainty-and-decisions", "name": "Validation, uncertainty and decisions", "description": "Connects predictions to relevant observations and limits the conclusions drawn from incomplete support.", "findings": [ { "id": "supported-use-envelope", "name": "Supported use envelope", "description": "Records agreement with applicable evidence, consequential uncertainties and the next action justified by the result.", "questions": [ { "text": "Which observations or tests support the predicted response, and how do uncertainty in inputs and model assumptions affect the quantities used for the decision?", "kind": "measurement", "id": "supported-use-envelope-q01" }, { "text": "Does the available support justify the intended use, or is further characterisation, a different formulation or specialist review needed?", "kind": "action", "id": "supported-use-envelope-q02" } ] } ] } ] }, { "id": "evidence-and-external-alignment", "name": "Evidence and external alignment", "description": "What the world already says about this thing, gathered so the model can be checked against it.", "rationale": "A model that cannot be lined up against existing standards, identifiers and practice cannot be adopted by anyone who already uses them.", "layers": [ { "id": "reported-evidence", "name": "Reported evidence", "description": "Findings from the breadth pass, kept separate from the structural claims.", "findings": [ { "id": "evidence-kinds", "name": "Kinds and varieties", "description": "Reported by the breadth pass; each item needs checking against its source before it becomes normative.", "evidence": [ "axial tension and compression of bars", "torsion of circular and thin-walled shafts", "bending (flexure) of beams", "transverse shear and shear flow", "combined loading and plane-stress transformation (principal stresses, Mohr's circle)", "elastic buckling and column stability", "linear-elastic isotropic response (Hooke's law, Young's modulus, Poisson's ratio)", "inelastic response beyond yield (plasticity, residual deformation)" ], "questions": [ { "id": "evidence-kinds-q01", "text": "Which of these kinds and varieties hold for the sense of mechanics of materials this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-identifiers", "name": "Identifiers and schemes", "description": "Reported by the breadth pass; each item needs checking against its source before it becomes normative.", "evidence": [ { "scheme": "Wikidata", "value_or_pattern": "Q1080293", "note": "Item labelled solid mechanics / mechanics of solids; nearest confirmed item. A distinct QID for the narrower undergraduate field 'strength of materials' was not verified in this pass." }, { "scheme": "GND", "value_or_pattern": "4129367-8", "note": "Subject named Festkörpermechanik on the same Wikidata item." } ], "questions": [ { "id": "evidence-identifiers-q01", "text": "Which of these identifiers and schemes hold for the sense of mechanics of materials this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-standards-and-regulation", "name": "Standards and regulation", "description": "Reported by the breadth pass; each item needs checking against its source before it becomes normative.", "evidence": [ "ASTM E8/E8M Standard Test Methods for Tension Testing of Metallic Materials - ASTM International", "ASTM E9 Standard Test Methods of Compression Testing of Metallic Materials at Room Temperature - ASTM International", "ASTM E111 Standard Test Method for Young's Modulus, Tangent Modulus, and Chord Modulus - ASTM International", "ASTM E143 Standard Test Method for Shear Modulus at Room Temperature - ASTM International", "ISO 527-1:2019 Plastics - Determination of tensile properties - Part 1: General principles - International Organization for Standardization (ISO/TC 61/SC 2)", "ISO 178:2019 Plastics - Determination of flexural properties - ISO/TC 61/SC 2", "FKM-Richtlinie Rechnerischer Festigkeitsnachweis - Forschungskuratorium Maschinenbau (Germany)" ], "questions": [ { "id": "evidence-standards-and-regulation-q01", "text": "Which of these standards and regulation hold for the sense of mechanics of materials this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-real-world-use", "name": "Real-world use", "description": "Reported by the breadth pass; each item needs checking against its source before it becomes normative.", "evidence": [ "Core undergraduate course in mechanical and civil engineering: closed-form bar, beam and shaft formulae used to size members and to check finite-element results.", "Tensile coupon tests on a universal testing machine produce the engineering stress-strain curve from which E, yield strength and ultimate tensile strength are read (ASTM E8 practice).", "Steel beam design: bending stress σ = My/I compared with the grade's yield or allowable stress (e.g. ASTM A36, Fy = 250 MPa).", "Rotating-shaft diameter selection from torsion τ = Tr/J against shear yield.", "Slender-column checks against Euler or empirical buckling formulae in building and machine frames.", "Wall-thickness and hoop/longitudinal stress checks on thin-walled pressure vessels and tubes." ], "questions": [ { "id": "evidence-real-world-use-q01", "text": "Which of these real-world use hold for the sense of mechanics of materials this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-measurements", "name": "Typical measurements", "description": "Reported by the breadth pass; each item needs checking against its source before it becomes normative.", "evidence": [ { "quantity": "engineering (Cauchy/nominal) normal stress", "typical_range": "tens of MPa in polymers and mild service; ~250 MPa yield and 400-550 MPa UTS for ASTM A36 structural steel; high-strength steels above 1 GPa", "unit": "Pa (reported as MPa or, in US customary practice, psi/ksi)" }, { "quantity": "engineering axial strain", "typical_range": "elastic strains in structural metals about 0.001-0.005; ductile elongation to fracture often a few percent to tens of percent", "unit": "dimensionless (m/m); sometimes percent elongation" }, { "quantity": "Young's modulus E", "typical_range": "order 1 GPa for many polymers; ~70 GPa aluminium; ~200 GPa steel (A36 given as 200 GPa / 29×10^3 ksi)", "unit": "Pa (commonly GPa)" }, { "quantity": "Poisson's ratio ν", "typical_range": "about 0.2-0.4 for most isotropic engineering solids; 0.26 quoted for A36 steel", "unit": "dimensionless" }, { "quantity": "yield strength", "typical_range": "tens of MPa (annealed aluminium, polymers) to 250 MPa (A36) to several hundred MPa for high-strength alloys", "unit": "MPa" }, { "quantity": "shear modulus G", "typical_range": "~79 GPa (11 500 ksi) for A36 steel", "unit": "GPa" } ], "questions": [ { "id": "evidence-measurements-q01", "text": "Which of these typical measurements hold for the sense of mechanics of materials this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-failure-modes-and-hazards", "name": "Failure modes and hazards", "description": "Reported by the breadth pass; each item needs checking against its source before it becomes normative.", "evidence": [ "Yielding: permanent set once stress passes the yield point; the usual service limit for ductile metals.", "Rupture after ultimate tensile strength, often preceded by necking in ductile metals; in brittle materials UTS lies close to yield.", "Buckling of slender compression members at loads far below the material compressive strength.", "Fatigue cracking under repeated loads below the static yield stress.", "Shear failure of fasteners, rivets and adhesive interfaces under loads parallel to the joint plane.", "Using engineering stress-strain past necking underestimates true stress and mis-predicts large-deformation capacity.", "Applying linear-elastic member formulae past small-strain or homogeneous-isotropic assumptions (cracks, welds, anisotropy) gives unconservative stresses." ], "questions": [ { "id": "evidence-failure-modes-and-hazards-q01", "text": "Which of these failure modes and hazards hold for the sense of mechanics of materials this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-regional-variation", "name": "Regional variation", "description": "Reported by the breadth pass; each item needs checking against its source before it becomes normative.", "evidence": [ "English-language curricula: 'mechanics of materials' (common US textbook title) versus 'strength of materials' (older and still British/Commonwealth usage); both name the same member-level subject.", "French-speaking practice: résistance des matériaux (RDM), taught as a distinct continuum-mechanics speciality for machines and civil works.", "German-speaking practice: Festigkeitslehre or Technische Mechanik (Elastostatik) for the course; Festkörpermechanik for the broader science; FKM guideline for machine-part strength assessment.", "Unit practice: SI megapascals almost everywhere; US structural and aerospace work still quotes ksi and psi alongside, and ASTM A36 is specified in both." ], "questions": [ { "id": "evidence-regional-variation-q01", "text": "Which of these regional variation hold for the sense of mechanics of materials this model covers, and on what evidence?", "kind": "provenance" } ] }, { "id": "evidence-neighbours", "name": "Neighbouring kinds and how to tell them apart", "description": "Reported by the breadth pass; each item needs checking against its source before it becomes normative.", "evidence": [ { "name": "rigid-body mechanics (statics/dynamics)", "difference": "Statics finds external reactions assuming no deformation. Mechanics of materials starts from those resultants and computes internal stress, strain and deflection. Wikidata records solid mechanics as different from rigid-body mechanics." }, { "name": "continuum / solid mechanics (field theory)", "difference": "Continuum mechanics writes local balance and constitutive PDEs for a 3-D body. Mechanics of materials is the reduced theory for bars, beams and shafts (plane sections remain plane, Saint-Venant end effects neglected). Solid mechanics is the parent on Wikidata." }, { "name": "theory of elasticity", "difference": "Elasticity seeks exact or series solutions of the 3-D (or 2-D) elastic field. Mechanics of materials uses kinematic assumptions that are exact only for restricted geometries and loadings." }, { "name": "materials science of mechanical properties", "difference": "Materials science explains E, yield and toughness from microstructure and processing. Mechanics of materials takes those numbers as given constitutive input and analyses the component." }, { "name": "fracture mechanics", "difference": "Fracture mechanics treats a crack as a singularity and uses K, J or CTOD. Elementary mechanics of materials uses net-section stress without an explicit crack." } ], "questions": [ { "id": "evidence-neighbours-q01", "text": "Which of these neighbouring kinds and how to tell them apart hold for the sense of mechanics of materials this model covers, and on what evidence?", "kind": "provenance" } ] } ] } ] } ] }, "openQuestions": [ "Does the registry intend the classical strength-of-materials teaching domain or a broader domain including advanced continuum, computational and experimental mechanics?", "Which existing Vercy world models or neighbouring registry entries already own elasticity, plasticity, fracture, fatigue and structural stability, and therefore require links instead of duplicated ownership?", "Which authoritative references should establish the initial terminology, method inventory and method-specific applicability checks?", "How should the publication distinguish core coverage from linked specialist coverage for composites, biological materials, granular media and coupled physical effects?", "What evidence standard should govern a method's assurance state and the transfer of validation from one geometry, material condition or loading regime to another?" ], "statistics": { "bundles": 6, "layers": 11, "findings": 18, "questions": 28 } }, "draft": { "generator": "vr.draft.v3", "status": "draft-generated", "researched": false, "archetype": "discipline or field of knowledge", "method": "Written from the archetype playbook - what this kind of thing needs beyond identity and provenance - and from the structure that recurred across 6,333 models already researched by two engines. Applied to this entry by rule. No source was read for this thing and no claim here is researched. This entry carries no facets of its own, so they were inferred from its domain - a guess about a whole domain applied to one thing.", "facetsInferred": true, "nextPass": "A researcher replaces this draft with a sourced specification. Treat every sentence below as a proposal to argue with.", "purpose": "Give an agent a durable, checkable way to recognise a mechanics of materials, record what state it is in, and decide what may be done with it.", "whatItIs": "Enable an AI agent to recognise mechanics-of-materials knowledge, assess whether its assumptions and evidence support a particular application, and identify defensible analyses or necessary further investigation.", "characteristics": { "substance": "information", "origin": "conceptual", "agency": "inert" }, "whatYouCanDoWithIt": [ "read and interpreted" ], "distinguishingFeatures": [ "Names folded into this entry, which a task may need to split apart again: fracture mechanics, linearized elastic fracture mechanics, Crack growth resistance curve, toughening, intergranular fracture.", "5 finer distinctions are held as aliases rather than separate entries, because telling them apart needs a task that asks for it.", "Described in 63 Wikipedia languages, which is a measure of how widely the thing is known, not of how important it is." ], "openQuestionsForResearch": [ "Which of the bundles below does a real task actually need, and which are ceremony?", "What does this thing have that the facets do not capture at all?", "Which neighbouring kind is most often confused with a mechanics of materials, and on what evidence are they told apart?" ], "whatItIsMadeOf": "content that has to be carried by something else", "physicalCharacter": [ "Does nothing on its own; everything it does, something else did to it.", "These come from the domain this entry sits in rather than from the entry itself, so treat them as a first guess about the whole domain applied to one thing." ], "whatCanBeDoneWithIt": [ "read it and act on what it says" ], "howItIsRecognised": [], "relatedModels": [ { "relation": "covers", "note": "Finer kinds folded into this entry because telling them apart needs a task that asks for it. Each is a model waiting to be split out when one does.", "targets": [ "fracture mechanics", "linearized elastic fracture mechanics", "Crack growth resistance curve", "toughening", "intergranular fracture" ] } ], "standing": "Described in 63 Wikipedia languages, which measures how widely it is written about rather than how important or how common it is. 5 finer distinctions are held inside this entry as names rather than as separate models.", "structure": { "bundles": [ { "id": "identity-and-classification", "name": "Identity, naming and classification", "description": "How an agent tells one mechanics of materials from another, and a mechanics of materials from things that resemble it.", "rationale": "Recognition comes before every other claim. Without stable identity nothing else in the model can be trusted to be about the same thing twice.", "layers": [ { "id": "naming-and-identifiers", "name": "Names and identifiers", "description": "The names this thing goes by and the identifiers that survive translation and time.", "findings": [ { "id": "preferred-name-and-aliases", "name": "Preferred name, aliases and local names", "description": "Which name to use, which names mean the same thing, and which merely sound similar.", "questions": [ { "id": "preferred-name-and-aliases-q01", "text": "What identifies and describes the name of a mechanics of materials, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "preferred-name-and-aliases-q02", "text": "Who or what asserted this about the name of a mechanics of materials, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "preferred-name-and-aliases-q03", "text": "What may an agent decide or do once the name of a mechanics of materials is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] }, { "id": "stable-identifiers", "name": "Stable identifiers and external keys", "description": "Identifiers that keep pointing at this kind of thing across systems and languages.", "questions": [ { "id": "stable-identifiers-q01", "text": "What identifies and describes an identifier for a mechanics of materials, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "stable-identifiers-q02", "text": "Who or what asserted this about an identifier for a mechanics of materials, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "stable-identifiers-q03", "text": "What may an agent decide or do once an identifier for a mechanics of materials is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "classification-and-granularity", "name": "Classification and granularity", "description": "Where a mechanics of materials sits among kinds, and how finely a task needs to cut it.", "findings": [ { "id": "kind-and-parents", "name": "Kind, parents and neighbouring kinds", "description": "The classes this thing belongs to and the ones it is next to.", "questions": [ { "id": "kind-and-parents-q01", "text": "What identifies and describes the kind of a mechanics of materials, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "kind-and-parents-q02", "text": "Who or what asserted this about the kind of a mechanics of materials, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "kind-and-parents-q03", "text": "What may an agent decide or do once the kind of a mechanics of materials is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] }, { "id": "distinguishing-features", "name": "Distinguishing features", "description": "What separates a mechanics of materials from the things most often confused with it.", "questions": [ { "id": "distinguishing-features-q01", "text": "What identifies and describes what distinguishes a mechanics of materials, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "distinguishing-features-q02", "text": "Who or what asserted this about what distinguishes a mechanics of materials, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "distinguishing-features-q03", "text": "What may an agent decide or do once what distinguishes a mechanics of materials is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] }, { "id": "state-and-lifecycle", "name": "State and lifecycle", "description": "The states a mechanics of materials passes through and the events that move it between them.", "rationale": "Most decisions about a thing depend on what state it is in now, which is a claim with a time on it, not a property.", "layers": [ { "id": "lifecycle-stages", "name": "Lifecycle stages", "description": "From coming into existence to ceasing to be one of these.", "findings": [ { "id": "stages-and-transitions", "name": "Stages and transitions", "description": "The stages worth naming and what moves a mechanics of materials between them.", "questions": [ { "id": "stages-and-transitions-q01", "text": "What identifies and describes the lifecycle of a mechanics of materials, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "stages-and-transitions-q02", "text": "Who or what asserted this about the lifecycle of a mechanics of materials, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "stages-and-transitions-q03", "text": "What may an agent decide or do once the lifecycle of a mechanics of materials is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "observations-and-status", "name": "Observations and current status", "description": "What is observed about a mechanics of materials, how often and by whom.", "findings": [ { "id": "observation-record", "name": "Observation record", "description": "How an observation of a mechanics of materials is recorded so that it can be superseded rather than overwritten.", "questions": [ { "id": "observation-record-q01", "text": "What identifies and describes an observation of a mechanics of materials, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "observation-record-q02", "text": "Who or what asserted this about an observation of a mechanics of materials, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "observation-record-q03", "text": "What may an agent decide or do once an observation of a mechanics of materials is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] }, { "id": "content-and-access", "name": "Content, encoding and access", "description": "What a mechanics of materials says, how it is encoded and who may read it.", "rationale": "An informational thing carries content that can be copied, versioned and withheld, none of which its physical carrier explains.", "layers": [ { "id": "content-and-encoding", "name": "Content and encoding", "description": "The content itself, its format and its language.", "findings": [ { "id": "content-and-format", "name": "Content, format and language", "description": "What a mechanics of materials contains and in what form it is held.", "questions": [ { "id": "content-and-format-q01", "text": "What identifies and describes the content of a mechanics of materials, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "content-and-format-q02", "text": "Who or what asserted this about the content of a mechanics of materials, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "content-and-format-q03", "text": "What may an agent decide or do once the content of a mechanics of materials is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "access-and-rights", "name": "Access, rights and retention", "description": "Who may read, copy or change it, and for how long it is kept.", "findings": [ { "id": "access-rules", "name": "Access rules and retention", "description": "The permissions attached to a mechanics of materials and the period it survives.", "questions": [ { "id": "access-rules-q01", "text": "What identifies and describes access to a mechanics of materials, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "access-rules-q02", "text": "Who or what asserted this about access to a mechanics of materials, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "access-rules-q03", "text": "What may an agent decide or do once access to a mechanics of materials is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] }, { "id": "subject-and-method", "name": "Subject matter and method", "description": "What mechanics of materials studies and how it establishes anything.", "rationale": "A field is identified by its questions and its methods, and those are what distinguish it from the fields next to it.", "layers": [ { "id": "subject", "name": "Subject matter", "description": "The questions it takes as its own.", "findings": [ { "id": "subject-record", "name": "Questions and objects of study", "description": "What it is about, stated so a neighbouring field can be told apart.", "questions": [ { "id": "subject-record-q01", "text": "What questions and objects does mechanics of materials take as its own?", "kind": "definition" }, { "id": "subject-record-q02", "text": "Which questions does it share with a neighbouring field, and who claims them?", "kind": "boundary" } ] } ] }, { "id": "method", "name": "Method and evidence", "description": "How claims are established and what counts as evidence.", "findings": [ { "id": "method-record", "name": "Methods and standards of evidence", "description": "The methods used and what they are taken to establish.", "questions": [ { "id": "method-record-q01", "text": "By what methods does mechanics of materials establish claims, and what counts as sufficient evidence?", "kind": "provenance" }, { "id": "method-record-q02", "text": "What kind of claim can this field not settle, and where should an agent look instead?", "kind": "action" } ] } ] } ] }, { "id": "institutions-and-classification", "name": "Institutions and classification", "description": "Where mechanics of materials is practised and how catalogues place it.", "rationale": "The institutional footprint is the evidence that a field exists as a field rather than as a topic.", "layers": [ { "id": "institutions", "name": "Institutional markers", "description": "Societies, journals, degrees and departments.", "findings": [ { "id": "institution-record", "name": "Bodies and venues", "description": "Where the field organises itself.", "questions": [ { "id": "institution-record-q01", "text": "Which societies, journals or degrees mark mechanics of materials as an established field?", "kind": "provenance" }, { "id": "institution-record-q02", "text": "What would show that it is emerging or dissolving rather than established?", "kind": "boundary" } ] } ] }, { "id": "classification", "name": "Classification schemes", "description": "Where library and research classifications put it.", "findings": [ { "id": "classification-record", "name": "Codes and their disagreements", "description": "The classification codes that place it, and where they differ.", "questions": [ { "id": "classification-record-q01", "text": "Which classification schemes place mechanics of materials, under what codes?", "kind": "definition" }, { "id": "classification-record-q02", "text": "Where do those schemes disagree about its scope?", "kind": "boundary" } ] } ] } ] }, { "id": "provenance-and-evidence", "name": "Provenance, evidence and time", "description": "Where every claim about a mechanics of materials came from and when it held.", "rationale": "A claim without a source and a time cannot be superseded, only overwritten, and an agent that overwrites loses the ability to explain itself.", "layers": [ { "id": "source-and-authority", "name": "Source and authority", "description": "Who said it, on what evidence, and how strongly.", "findings": [ { "id": "claim-provenance", "name": "Claim provenance and confidence", "description": "The authority behind each claim about a mechanics of materials and how confident it is.", "questions": [ { "id": "claim-provenance-q01", "text": "What identifies and describes a claim about a mechanics of materials, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "claim-provenance-q02", "text": "Who or what asserted this about a claim about a mechanics of materials, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "claim-provenance-q03", "text": "What may an agent decide or do once a claim about a mechanics of materials is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "time-and-versions", "name": "Time, versions and supersession", "description": "When a claim was true, when it was learnt, and what replaced it.", "findings": [ { "id": "validity-and-supersession", "name": "Validity period and supersession", "description": "How an old claim about a mechanics of materials is retired without being erased.", "questions": [ { "id": "validity-and-supersession-q01", "text": "What identifies and describes the validity of a claim about a mechanics of materials, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "validity-and-supersession-q02", "text": "Who or what asserted this about the validity of a claim about a mechanics of materials, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "validity-and-supersession-q03", "text": "What may an agent decide or do once the validity of a claim about a mechanics of materials is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] } ] }, "statistics": { "bundles": 6, "layers": 12, "findings": 14, "questions": 38 } } } }