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A decomposition method for the integration of the elastic-plastic rate problem. (English) Zbl 0669.73022

The numerical integration of the rate equation of an elastic-plastic material is considered. Special attention is focused on the discretization via the fully implicit backward Euler method in the small strain case with linear elasticity and the yield function a general quadratic in stress space. Here the calculation of the plastic (Lagrange) multiplier reduces to the computation of the smallest positive root of a polynomial in one variable. Explicit formulae are given for some special cases.

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
65K10 Numerical optimization and variational techniques
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