Recent trends in ALE formulation and its applications in solid mechanics

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 vir...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2004-10, Vol.193 (39), p.4247-4275
Main Author: Gadala, M.S.
Format: Article
Language:English
Subjects:
ALE
Arbitrary Lagrangian Eulerian formulation
Coupled formulations
Crack propagation
Finite element analysis
Implicit dynamic analysis
Large deformation
Mesh motion
Metal cutting
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Summary: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.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2004.02.019