[HTML][HTML] Hyperelastic bodies under homogeneous Cauchy stress induced by non-homogeneous finite deformations
We discuss whether homogeneous Cauchy stress implies homogeneous strain in isotropic
nonlinear elasticity. While for linear elasticity the positive answer is clear, we exhibit, through
detailed calculations, an example with inhomogeneous continuous deformation but constant
Cauchy stress. The example is derived from a non rank-one convex elastic energy.
nonlinear elasticity. While for linear elasticity the positive answer is clear, we exhibit, through
detailed calculations, an example with inhomogeneous continuous deformation but constant
Cauchy stress. The example is derived from a non rank-one convex elastic energy.
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