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- W4320026128 abstract "Abstract This chapter provides an overview of the large deformation elastic response of rubber-like (elastomeric) materials. Such materials are usually idealized to be isotropic and incompressible. A large deformation theory for isotropic elastic materials in principal stretch space is discussed; the general form for the free-energy function in terms of principal stretches for isotropic materials is stated, and special considerations needed for incompressible materials are elaborated upon. The resulting expressions for the principal true (Cauchy) stresses and the principal engineering stresses are derived. The Neo-Hookean free-energy function—which is widely used for modelling material response at moderately large stretches—is discussed, as are the generalizations of this free energy which result in the Arruda–Boyce and Gent free energies which account for chain-locking effects at large stretches. An extension of the theory beyond principal stretches, using the general notion of the deformation gradient, is also briefly discussed." @default.
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- W4320026128 date "2022-12-13" @default.
- W4320026128 modified "2023-09-26" @default.
- W4320026128 title "Rubber elasticity" @default.
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- W4320026128 doi "https://doi.org/10.1093/oso/9780192866073.003.0023" @default.
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