Hyperelastic bodies under homogeneous Cauchy stress induced by three-dimensional non-homogeneous deformations
نویسندگان
چکیده
In isotropic finite elasticity, unlike in the linear elastic theory, a homogeneous Cauchy stress may be induced by non-homogeneous strains. To illustrate this, we identify compatible nonhomogeneous three-dimensional deformations producing a homogeneous Cauchy stress on a cuboid geometry, and provide an example of an isotropic hyperelastic material, which is not rank-one convex, and for which the homogeneous stress and the associated non-homogeneous strains on a domain similar to those analysed are given explicitly. Mathematics Subject Classification: 74B20, 74G65, 26B25.
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