Abstract
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.
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Bayoumi, H., Gadala, M. A complete finite element treatment for the fully coupled implicit ALE formulation. Computational Mechanics 33, 435–452 (2004). https://doi.org/10.1007/s00466-003-0544-y
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DOI: https://doi.org/10.1007/s00466-003-0544-y