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Efficient elastoplastic analysis with the boundary element method

机译:边界元法进行高效弹塑性分析

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摘要

Conventional numerical implementation of the boundary element method (BEM) for elasto-plastic analysis requires a domain discretization into cells. This requires more effort for the discretization of the problem and additional computational effort. A new technique is proposed here for the analysis of 2D and 3D elasto-plastic problems with the boundary element method. In this approach the domain does not need to be discretised into cells prior to the analysis. Plasticity is assumed to start from the boundary and the cells are generated from the boundary data automatically during the analysis. Using the cell generation process, elasto-plastic analysis with the BEM becomes much more user friendly and efficient than the standard approach with a pre-definition of cells. The accuracy and efficiency of the solution obtained by the new approach is verified by several numerical examples.
机译:弹塑性分析的边界元方法(BEM)的常规数值实现需要将域离散化为单元。这需要更多的精力来解决问题的离散化和额外的计算工作。这里提出了一种新的技术,用边界元方法分析2D和3D弹塑性问题。在这种方法中,无需在分析之前将域离散化为细胞。假定可塑性从边界开始,并且在分析过程中会自动从边界数据生成单元格。通过使用细胞生成过程,与使用预定义细胞的标准方法相比,使用BEM进行弹塑性分析变得更加用户友好和高效。通过几个数值示例验证了通过新方法获得的解决方案的准确性和效率。

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