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The numerical realization of a variational inequality in the dynamics of elastoplastic bodies. (English. Russian original) Zbl 0940.74503
Comput. Math. Math. Phys. 36, No. 9, 1313-1324 (1996); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 9, 177-191 (1996).
Summary: By formulating models of elastoplastic deformation in the form of a variational inequality with a quasi-linear operator of hyperbolic type, we propose new economical algorithms for the numerical solution of dynamic problems for elastic, ideally plastic bodies and bodies with isotropic and translational reinforcement. The results of calculations of the propagation of plane shear waves in an elastoplastic half-space with a nonlinear reinforcement diagram are given.

74S30 Other numerical methods in solid mechanics (MSC2010)
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)