Recent trends in ALE formulation and its applications in solid mechanics

被引：56

作者：

Gadala, MS ^{[1
]}

机构：

[1] Univ British Columbia, Dept Mech Engn, Vancouver, BC V6T 2G9, Canada

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2004年 / 193卷 / 39-41期

关键词：

finite element analysis; Arbitrary Lagrangian Eulerian formulation; ALE; large deformation; mesh motion; coupled formulations; crack propagation; metal cutting; implicit dynamic analysis;

D O I：

10.1016/j.cma.2004.02.019

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents a complete derivation and implementation of the arbitrary Lagrangian Eulerian (ALE) formulation for the simulation of nonlinear static and dynamic problems in solid mechanics. The ALE equations are presented using a fully coupled implicit approach. Full expression for the ALE virtual work equations and finite element matrices are given. The matrix equations are presented in a level of details that facilitates straightforward implementation. Time integration relations for the dynamic equations are also derived. Special techniques are presented to adapt the formulation for simulating crack propagation problems. Several applications in the areas of metal forming, metal cutting and crack propagation are solved and presented. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：4247 / 4275

页数：29

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