Arbitrary Lagrangian-Eulerian (ALE) formulation for hyperelastoplasticity
The arbitrary Lagrangian-Eulerian (ALE) description in non-linear solid mechanics is nowadays standard for hypoelastic-plastic models. An extension to hyperelastic-plastic models is presented here. A fractional-step method - a common choice in ALE analysis - is employed for time-marching: every time...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2002 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositório: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglês |
| OAI Identifier: | oai:upcommons.upc.edu:2117/8255 |
| Acesso em linha: | https://hdl.handle.net/2117/8255 https://dx.doi.org/10.1002/nme.362 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Solids--Mechanical properties Nonlinear mechanics--Mathematical models Arbitrary Lagrangian-Eulerian formulation Hyperelastoplasticity Finite strains Non-linear solid mechanics Mecànica no lineal Mecànica dels sòlids Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics |
| Resumo: | The arbitrary Lagrangian-Eulerian (ALE) description in non-linear solid mechanics is nowadays standard for hypoelastic-plastic models. An extension to hyperelastic-plastic models is presented here. A fractional-step method - a common choice in ALE analysis - is employed for time-marching: every time-step is split into a Lagrangian phase, which accounts for material effects, and a convection phase, where the relative motion between the material and the finite element mesh is considered. In contrast to previous ALE formulations of hyperelasticity or hyperelastoplasticity, the deformed configuration at the beginning of the time-step, not the initial undeformed configuration, is chosen as the reference configuration. As a consequence, convecting variables are required in the description of the elastic response. This is not the case in previous formulations, where only the plastic response contains convection terms. In exchange for the extra convective terms, however, the proposed ALE approach has a major advantage: only the quality of the mesh in the spatial domain must be ensured by the ALE remeshing strategy; in previous formulations, it is also necessary to keep the distortion of the mesh in the material domain under control. Thus, the full potential of the ALE description as an adaptive technique can be exploited here. These aspects are illustrated in detail by means of three numerical examples: a necking test, a coining test and a powder compaction test. |
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