Solution of quasi-static large-strain problems by the material point method

被引：87
作者：
Beuth, L. [1 ,2 ]
Wieckowski, Z. [3 ]
Vermeer, P. A. [1 ,2 ]
机构：
[1] Deltares, NL-2600 MH Delft, Netherlands
[2] Univ Stuttgart, Inst Geotech Engn, D-70569 Stuttgart, Germany
[3] Tech Univ Lodz, Dept Mech Mat, PL-90924 Lodz, Poland
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS | 2011年 / 35卷 / 13期
关键词：
material point method; finite element method; meshless methods; arbitrary Lagrangian-Eulerian formulation; large strains; implicit integration;
D O I：
10.1002/nag.965
中图分类号：
P5 [地质学];
学科分类号：
0709 ; 081803 ;
摘要：
A procedure for solving quasi-static large-strain problems by the material point method is presented. Owing to the Lagrangian-Eulerian features of the method, problems associated with excessive mesh distortions that develop in the Lagrangian formulations of the finite element method are avoided. Three-dimensional problems are solved utilizing 15-noded prismatic and 10-noded tetrahedral elements with quadratic interpolation functions as well as an implicit integration scheme. An algorithm for exploiting the numerical integration procedure on the computational mesh is proposed. Several numerical examples are shown. Copyright (C) 2010 John Wiley & Sons, Ltd.
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收藏
页码：1451 / 1465
页数：15
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