Abstract
A numerical scheme for calculating large isothermal elastoplastic (non-strain hardening) deformations is presented. It is an extension of the scheme used in Ref. [1] to calculate large elastic deformations. Finite differences are used and the deformation is followed in small time steps. For each time cycle a system of non-linear equations is set-up, and solved by the Newton-Raphson method. The scheme enables one to carry the material through various loading-unloading programs, and is designed in a way that permits changing the form of the constitutive laws. The scheme is used to solve the spherically symmetric problem. The inflation and unloading of a thick-walled spherical shell is studied in detail. A comparison with Hill's solution for the infinitesimal case shows the deviations caused by geometrical non-linearity.
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