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Anti-plane shear deformations for non-Gaussian isotropic, incompressible hyperelastic materials. (English) Zbl 1041.74009

The authors investigate the mechanical response in anti-plane shear of a class of incompressible isotropic hyperelastic materials for which the strain energy density depends only on the first invariant of the tensor. Their concern is with the subclass of these materials that exhibits hardening at large deformations, the so-called non-Gaussian materials. Crack problems and spatial decay of end effects are described, furthermore, interesting applications to rubber-like and biological materials are worked out.

MSC:

74B20 Nonlinear elasticity
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