软化材料有限元分析的一种非局部方法

A NONLOCAL APPROACH FOR FINITE ELEMENT ANALYSIS OF SOFTENING MATERIAL

  • 摘要: 本文讨论在软化材料的有限元分析中克服计算结果对单元网格敏感性的方法。首先对现在被认为是较为有效的梯度理论进行了简单的介绍与评述,接着在此基础上对其进行改进并提出一个更为简便有效的计算方法。最后本文给出几个算例,包括软化杆的拉伸、双轴实验的模拟及土坡稳定等三个问题,以展示所提出的计算方法的有效性。

     

    Abstract: This paper is concerned with the finite element analysis of softening materials. Special attention is paid to the methods for overcoming the mesh sensitivity in the analysis. An introduction is first given to the gradient theory which is widely recognized as a theoretically sound method. Then an improved method is proposed on the basis of the former one to overcome the difficulties in it's numerical implementation. Several numerical examples are presented, including a softening bar under tension, a biaxial test simulation and a slope stability problem, to show the efficiency and reliability of the proposed method.

     

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