Modelling Elasto-Plasticity Using the Hybrid MLPG Method
Modelling Elasto-Plasticity Using the Hybrid MLPG Method
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DOI：
10.3970/cmes.2010.056.153
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发表时间：
2010
影响因子：
2.4
通讯作者：
C. Heaney;C. Augarde;A. Deeks
中科院分区：
文献类型：
--
作者：
C. Heaney;C. Augarde;A. Deeks
无网格法作为传统有限元法的替代方法，继续引起人们的浓厚兴趣。一个主要的应用领域，尚未相对未开发的无网格方法是弹塑性。在本文中，我们扩展了一种新的数值方法，基于无网格局部Petrov-Galerkin（MLPG）方法，弹塑性材料的建模。扩展方法特别适合于地质力学问题，因为它允许包含无限边界，并且在这里在基脚问题上进行了演示。目前使用的无网格方法涉及塑性问题的审查和指导提供了各种建模参数的选择。
Meshless methods continue to generate strong interest as alternatives to conventional finite element methods. One major area of application as yet relatively unexplored with meshless methods is elasto-plasticity. In this paper we extend a novel numerical method, based on the Meshless Local Petrov-Galerkin (MLPG) method, to the modelling of elasto-plastic materials. The extended method is particularly suitable for problems in geomechanics, as it permits inclusion of infinite boundaries, and is demonstrated here on footing problems. The current usage of meshless methods for problems involving plasticity is reviewed and guidance is provided in the choice of various modelling parameters.