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Automatic generating and spread of a plastic region in PIES

机译:馅饼中塑料区域的自动产生和传播

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The paper presents the strategy for automatic generating a plastic region in the parametric integral equation system (PIES) and its spread during the incremental process of solving elastoplastic problems. Instead of some preliminary research on the not known a priori plastic zone, it is found automatically on the basis of stresses on the boundary and then it propagates considering the current stress state. The presented strategy requires the PIES method as an efficient approach for solving boundary value problems and several algorithms of computational geometry. The effectiveness of PIES comes from the lack of discretization of the plastic zone, which is defined globally by surface patches known from computer graphics. Several examples provided confirm the validity of the proposed approach.
机译:本文介绍了在求解弹塑性问题的增量过程中自动产生塑料区域的策略。而不是对未知的先验塑料区的一些初步研究,而是基于边界上的应力自动发现,然后考虑到当前的应力状态。所提出的策略要求PIE方法作为解决边界值问题的有效方法和计算几何算法。馅饼的有效性来自塑料区的离散化,其通过计算机图形学中已知的表面贴片全局定义。提供了几个例子,确认了所提出的方法的有效性。

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