Comparing two algorithms to add large strains to small-strain FE code
Two algorithms for the stress update (i.e., time integration of the constitutive equation) in large-strain solid mechanics are discussed, with particular emphasis on two issues: (1) The incremental objectivity; and (2) the implementation aspects. It is shown that both algorithms are incrementally ob...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 1998 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/8463 |
| Acesso em linha: | https://hdl.handle.net/2117/8463 https://dx.doi.org/10.1061/(ASCE)0733-9399(1998)124:9(939) |
| Access Level: | acceso abierto |
| Palavra-chave: | Solids--Mechanical properties Finite element method Mecànica dels sòlids Elements finits, Mètode dels Àrees temàtiques de la UPC::Física::Física de l'estat sòlid Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
| Resumo: | Two algorithms for the stress update (i.e., time integration of the constitutive equation) in large-strain solid mechanics are discussed, with particular emphasis on two issues: (1) The incremental objectivity; and (2) the implementation aspects. It is shown that both algorithms are incrementally objective (i.e., they treat rigid rotations properly) and that they can be employed to add large-strain capabilities to a small-strain finite element (FE) code in a simple way. A set of benchmark tests, consisting of simple large deformation paths, have been used to test and compare the two algorithms, both for elastic and plastic analyses. These tests evidence different time-integration accuracy for each algorithm. However, it is also shown that the algorithm that is less accurate in general gives exact results for shear-free deformation paths. |
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