Solutions of some boundary value problems for a new class of elastic bodies. Comparison with predictions of the classical theory of linearized elasticity: Part II. A problem with spherical symmetry

Abstract

In Part II of the paper, we study the response of a spherical annular region of the same strain limiting elastic body considered in Part I, wherein the linearized strain is a nonlinear function of the stress. We study the response of the annular region due to a normal radial inflation, and as in Part I, we find the response to be strikingly different from that of the classical linearized elastic solid.