On the Problem of a Spherical Cavity in an Infinite Elasto-Plastic Medium

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Abstract
The nonlinear problem of a spherical cavity surrounded by an infinite elasto-plastic medium, and subjected to uniform radial loads, is considered. The material is assumed to be incrementally elasto-plastic. No restriction on the magnitude of the deformation and stress is imposed. For the cases of internal or external pressure, the governing nonlinear differential equations are solved in terms of closed integrals. Numerical results obtained for some metals are also shown.

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