A complete finite element treatment for the fully coupled implicit ALE formulation

被引：38

作者：

Bayoumi, HN

Gadala, MS

机构：

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

[2] MSC Software, Redwood City, CA 94063 USA

来源：

COMPUTATIONAL MECHANICS | 2004年 / 33卷 / 06期

关键词：

finite element analysis; arbitrary lagrangian eulerian formulation; ALE; large deformation; mesh motion; coupled formulations; implicit dynamic analysis;

D O I：

10.1007/s00466-003-0544-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents a complete derivation and implementation of the Arbitrary Lagrangian Eulerian (ALE) formulation for the simulation of large deformation quasi-static and dynamic problems. While most of the previous work done on ALE for dynamic applications was mainly based on operator split and explicit calculations, this work derives the quasi-static and dynamic ALE equations using a fully coupled implicit approach. Full expression for the ALE virtual work equations and finite element matrices are given. Time integration relations for the dynamic equations are also derived. Several quasi-static and dynamic large deformation applications are solved and presented.

引用

页码：435 / 452

页数：18

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