STRESS IN ISOTROPIC ELASTIC SOLID UNDER SUPERPOSED DEFORMATIONS.

The explicit formulas for Cauchy stress tensor in isotropic elastic solid under successive superposition of two deformations have been given. Any deformation can be finite, small or infinitesimal. The exact formulas for elasticity tensors of zeroth, first and second order in arbitrarily deformed reference configuration have been obtained from the Lagrangian constitutive equation. If the reference configuration occurs as a result of infinitesimal or small deformations, the elasticity tensors have been expressed in terms of elastic constants in the natural state of the first or also of the second order. Derivatives of some useful functions of the second-order tensor are given.