The corotational stability postulate implies that all standard incremental Cauchy stress moduli (Young, equibiaxial, planar tension, bulk) are positive in diagonal homogeneous deformations of isotropic hyperelastic materials.
A more fundamental approach to plastic stress-strain relations
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The corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity
The corotational stability postulate implies that all standard incremental Cauchy stress moduli (Young, equibiaxial, planar tension, bulk) are positive in diagonal homogeneous deformations of isotropic hyperelastic materials.