ALE stress update for transient and quasistatic processes

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 qu...

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Detalles Bibliográficos
Autores: Rodríguez Ferran, Antonio|||0000-0002-9680-6046, Casadei, F., Huerta, Antonio|||0000-0003-4198-3798
Tipo de recurso: artículo
Fecha de publicación:1998
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/8277
Acceso en línea:https://hdl.handle.net/2117/8277
https://dx.doi.org/10.1002/(SICI)1097-0207(19980930)43:2<241::AID-NME389>3.0.CO;2-D
Access Level:acceso abierto
Palabra clave:Solids--Mechanical properties
Arbitrary Lagrangian-Eulerian formulation
Non-linear solid mechanics
Stress update
Explicit algorithm
Mecànica dels sòlids
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
Descripción
Sumario: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.