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

• DOI: 10.1007/s00466-003-0544-y
• Publication Date: 2004-04-12T11:11:57Z
• Authors: H. N. Bayoumi; M. S. Gadala
• Keywords: Virtual work; Dynamic equation; Operator (biology); Dynamic problem

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.