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On solvability of boundary value problems in elastoplasticity

机译：弹塑性边值问题的可解性

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摘要

In the paper the existence of a solution to the three- dimensional elastoplastic problem with the Prandtl-Reuss constitu- tive law and the Neumann boundary conditions is established. The proof is based on a suitable combination of the parabolic regulariza- tion of equations and the penalty method for the elastoplastic yield condition. The method is applied in the case of the domain with smooth boundary as well as in the case of an interior crack. It is shown that the weak solutions to the elastophastic problem satisfying the variational inequality meet all boundary conditions.
机译：在本文中，建立了利用Prandtl-Reuss本构律和Neumann边界条件解决三维弹塑性问题的方法。证明是基于抛物线方程正则化和弹塑性屈服条件的惩罚方法的适当组合。该方法适用于边界光滑的区域以及内部裂纹的情况。结果表明，满足变分不等式的弹性问题的弱解满足所有边界条件。

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