ALE Stress Update for Transient and Quasistatic Processes

Author (s): Rodríguez-Ferran, A., Casadei, F. and Huerta, A.
Journal: International Journal for Numerical Methods in Engineering

Volume: 43, Issue 2
Pages: 241 – 262
Date: 1998

A key issue in Arbitrary Lagrangian-Eulerian (ALE) nonlinear solid mechanics is the correct treatment of the convection terms in the constitutive equation. These convection terms, which reflect the relative motion between the finite element mesh and the material, are found for both transient and quasistatic ALE analyses. It is shown in this paper that the same explicit algorithms can be employed to handle the convection terms of the constitutive equation for both types of analyses.
The most attractive consequence of this fact is that a quasistatic simulation can be upgraded from Updated Lagrangian (UL) to ALE without significant extra computational cost. These ideas are illustrated by means of two numerical examples.



@article {ARF-RCH:98,
        Author = {Antonio Rodr\'{\i}guez-Ferran and Folco Casadei and Antonio Huerta},
        Title = {{ALE} stress update for transient and quasistatic processes},
        Fjournal = {International Journal for Numerical Methods in Engineering},
        Journal = {Int. J. Numer. Methods Eng.},
        Volume = {43},
        Number = {2},
        Pages = {241--262},
        Year = {1998},
	Doi = {10.1002/(SICI)1097-0207(19980930)43:2<241::AID-NME389>3.0.CO;2-D}