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ALE stress update for transient and quasistatic processes
Author(s) -
RodríguezFerran Antonio,
Casadei Folco,
Huerta Antonio
Publication year - 1998
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19980930)43:2<241::aid-nme389>3.0.co;2-d
Subject(s) - quasistatic process , constitutive equation , eulerian path , finite element method , transient (computer programming) , lagrangian , mathematics , convection , classical mechanics , mechanics , physics , calculus (dental) , mathematical analysis , computer science , engineering , structural engineering , thermodynamics , operating system , medicine , dentistry
A key issue in Arbitrary Lagrangian–Eulerian (ALE) non‐linear 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. © 1998 John Wiley & Sons, Ltd.