Equilibrium Shocks in Plane Deformations of Incompressible Elastic Materials

摘要

This paper is concerned with piecewise smooth plane deformations in an isotropic, incompressible elastic material. An explicit necessary and sufficient condition for the existence of piecewise homogeneous equilibrium states is established, and the set of all such states is precisely characterized. A particularly simple expression is derived for the driving traction on a surface of discontinuity in the deformation gradient.