Abstract

A stress-strain relation for inelastic material behavior is formulated. The formulation is based upon the Ramberg-Osgood uniaxial law, Prager's general strain-hardening relation, and Hencky's hypothesis. With the use of this relation, the problems of a thick hollow sphere and a thick circular cylinder, each subjected to uniform internal and external pressures, are analyzed. The stress solutions are obtained in closed parametric form. The results are illustrated by the solution of particular examples.

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