elasticity
Let an agent explain elasticity in materials and mechanics, relay moduli, theories and measurement from references, describe special forms and applications, and distinguish the mechanical sense from economic elasticity.
Research draft, second pass
A second pass drafted this model: the structure a model of this thing needs, and what is known about it in the world. The line under this one says how the second half was obtained - researched against sources, or recalled without web access, in which case nothing here was read anywhere and every claim is a lead to verify. Unreviewed either way.
written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify
Researched by: Claude
Purpose and description
Let an agent explain elasticity in materials and mechanics, relay moduli, theories and measurement from references, describe special forms and applications, and distinguish the mechanical sense from economic elasticity.
The property of a material to return to its original shape and size after a deforming force is removed, described by moduli such as Young modulus and by stress-strain relations, with linear elasticity for small strains, rubber elasticity in the entropic rubber state of polymers, and coupled forms such as thermoelasticity, poroelasticity and photoelasticity used to visualise stress; elasticity underlies structural engineering, materials science and geophysics, and the word also names responsiveness measures in economics, a separate sense.
What it is for: Not applicable; a material property.
It can be explain the property and theory; relay moduli and measurement; describe special forms; distinguish from economic elasticity.
Distinguishing features
Reversibility
Hooke law regime
Moduli and Poisson ratio
Entropic elasticity in rubbers
What it looks like
Not a visible object; seen as a stretched material returning to shape.
Physical character
Young modulus of steel: about 200 GPa
Young modulus of rubber: about 0.01-0.1 GPa
Poisson ratio range: -1 to 0.5 ratio - isotropic materials
How it is recognised
Reversible deformation under load
Linear, rubber, thermo-, poro- and photoelasticity
Plasticity is permanent deformation; viscosity is flow; economic elasticity measures responsiveness
Related models
is a kind of - in registry terms
is described by - in the linear regime
is quantified by - such as Young modulus
is contrasted with - permanent deformation
In practice
Families and kinds
linear elasticity
nonlinear and hyperelasticity
rubber elasticity and the rubber state
thermoelasticity
poroelasticity
photoelasticity
distensibility and compliance in physiology
rope and fibre elongation in engineering
Standards and regulation
ASTM and ISO standards for tensile testing and modulus measurement
Design codes using elastic analysis
Failure modes and hazards
Exceeding the elastic limit
Confusing elasticity with stiffness or strength
Confusing senses of elasticity
Also called
Where this came from
wikidata · CC0 1.0
Also registered as vr.tr.elasticity
Drafted structure
Bundle to layer to finding to question, as the second pass will find it: 4 bundles · 8 layers · 8 findings · 16 questions.
Understand What elasticity is.
Science.
Definition
Definition.
Definition
Definition.
- What is elasticity, and how does it differ from plasticity, stiffness and strength? definition
- Is the question about mechanical or economic elasticity? boundary
Theory
Theory and moduli.
Theory
Theory.
- How do Hooke law, Young modulus, shear modulus and Poisson ratio describe elastic behaviour? definition
- Which entry fits the specific modulus? action
Forms Special forms.
Science.
Rubber
Rubber elasticity.
Rubber
Rubber.
- Why are rubbers elastic through entropy, and what is the rubber state? provenance
- Which entry fits polymer physics? action
Coupled
Coupled elasticity.
Coupled
Coupled.
- What are thermoelasticity, poroelasticity and photoelasticity, and where are they used? provenance
- Which references are standard? provenance
Measure Measurement and design.
Practice.
Testing
Testing.
Testing
Testing.
- How are elastic properties measured by tensile tests and other methods? provenance
- Which sources are cited? provenance
Design
Engineering design.
Design
Design.
- How is elasticity used in structural and mechanical design, including rope elongation? provenance
- Which entry fits structural analysis? action
Context Biology and history.
Context.
Biology
Elasticity in biology.
Biology
Biology.
- How do distensibility and compliance describe elasticity in vessels and tissues? provenance
- Which entry fits arterial compliance? action
History
History.
History
History.
- How did Hooke, Young, Cauchy and others develop elasticity theory? provenance
- Which entry fits the history of mechanics? action
What the second pass must settle
- Should rubber elasticity and poroelasticity be separate entries?
- How should material data be linked?
- The registry entry has merged aliases naming special forms and physiological terms; should they be split off?