On the stability of elastic bodies with random in homogeneities under finite deformations: PMM vol. 43, no. 6, 1979, pp. 1125–1129

Abstract

Stability of stochastically inhomogeneous, compressible elastic bodies with respect to small, as well as to finite perturbations, is studied in three-dimensional formulation. The bodies are under deterministic external loads and experience finite subcritical deformations. The stability of elastic bodies with random inhomogeneilies was studied for the case of small, subcritical deformations in [1]. The basic relations for a stochastically inhomogeneous compressible hyperelastic body can be obtained from the relations for compressible hyperelastic media given in [2].