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What (who) is noncompressible elastic material - definition

MATERIAL FOR WHICH THE STRESS–STRAIN RELATIONSHIP DERIVES FROM A STRAIN ENERGY DENSITY FUNCTION

Green elastic material; Green elastic; Hyperelasticity; St. Venant-Kirchhoff; Hyperelastic solid; Saint Venant-Kirchhoff model

Cauchy elastic material

MATERIAL IN WHICH THE STRESS AT EACH POINT IS DETERMINED ONLY BY THE CURRENT STATE OF DEFORMATION WITH RESPECT TO AN ARBITRARY REFERENCE CONFIGURATION

Cauchy elasticity

In physics, a Cauchy-elastic material is one in which the stress at each point is determined only by the current state of deformation with respect to an arbitrary reference configuration.R.

https://en.wikipedia.org/wiki/Cauchy_elastic_material

Elastic fiber

EXTRACELLULAR MATRIX PART THAT CONSISTS OF AN INSOLUBLE CORE OF POLYMERIZED TROPOELASTIN MONOMERS AND A SURROUNDING MANTLE OF MICROFIBRILS

Elastic Fibre; Yellow elastic fibers; Elastic connective tissue; Elastic tissue; Elastic fibers; Elastic Fibers; Elastic fibres; Elastic fibre; Yellow fibre; Elastogenesis

Elastic fibers (or yellow fibers) are an essential component of the extracellular matrix composed of bundles of proteins (elastin) which are produced by a number of different cell types including fibroblasts, endothelial, smooth muscle, and airway epithelial cells. These fibers are able to stretch many times their length, and snap back to their original length when relaxed without loss of energy.

https://en.wikipedia.org/wiki/Elastic_fiber

Kelvin–Voigt material

VISCOELASTIC MATERIAL HAVING THE PROPERTIES BOTH OF ELASTICITY AND VISCOSITY

Kelvin solid; Kelvin material; Kelvin-Voigt Model; Kelvin-Voigt model; Voigt material; Kelvin model; Kelvin-Voigt material; Kelvin–Voigt model

A Kelvin-Voigt material, also called a Voigt material, is the most simple model viscoelastic material showing typical rubbery properties. It is purely elastic on long timescales (slow deformation), but shows additional resistance to fast deformation.

https://en.wikipedia.org/wiki/Kelvin–Voigt_material

Wikipedia

Hyperelastic material

A hyperelastic or Green elastic material is a type of constitutive model for ideally elastic material for which the stress–strain relationship derives from a strain energy density function. The hyperelastic material is a special case of a Cauchy elastic material.

For many materials, linear elastic models do not accurately describe the observed material behaviour. The most common example of this kind of material is rubber, whose stress-strain relationship can be defined as non-linearly elastic, isotropic and incompressible. Hyperelasticity provides a means of modeling the stress–strain behavior of such materials. The behavior of unfilled, vulcanized elastomers often conforms closely to the hyperelastic ideal. Filled elastomers and biological tissues are also often modeled via the hyperelastic idealization.

Ronald Rivlin and Melvin Mooney developed the first hyperelastic models, the Neo-Hookean and Mooney–Rivlin solids. Many other hyperelastic models have since been developed. Other widely used hyperelastic material models include the Ogden model and the Arruda–Boyce model.

https://en.wikipedia.org/wiki/Hyperelastic material