Finite element analysis of strain localization in frictional materials
Finite element analysis of strain localization in frictional materials
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DOI：
10.1002/nag.1610130106
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发表时间：
1989
影响因子：
4
通讯作者：
Y. Leroy;M. Ortiz
中科院分区：
文献类型：
--
作者：
Y. Leroy;M. Ortiz
数值算例表明，传统的有限元在涉及摩擦材料的应变局部化问题的性能较差。在调查的情况之一，即颗粒介质进行平面应变双轴加载，等参元素被视为抑制本地化。通过这些例子的动机，最近提出的有限元方法的性能在摩擦材料的应变局部化的背景下进行评估，特别强调三维问题。同时，对双轴试件分叉后响应的一些问题进行了研究。特别是，数值模拟表明，所观察到的软化是一个几何效应不归因于本构行为。
Numerical examples are given which illustrate the poor performance of conventional finite elements in problems involving strain localization in frictional materials. In one of the cases investigated, that of granular media subjected to plane strain biaxial loading, isoparametric elements are seen to inhibit localization altogether. With these examples by way of motivation, the performance of a recently proposed finite element method in the context of strain localization in frictional materials is assessed, with particular emphasis on three-dimensional problems. In passing, some issues pertaining to the post-bifurcation response of biaxial specimens are examined. In particular, the numerical simulations suggest that the observed softening is a geometrical effect not attributable to constitutive behaviour.