Mixed Stabilized Finite Element Methods in Nonlinear Solid Mechanics. Part II: Strain Localization
| Autor: | Cervera Ruiz, Miguel|||0000-0003-3437-6703, Chiumenti, Michele|||0000-0002-6286-7393, Codina, Ramon|||0000-0002-7412-778X |
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| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria, Universitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus |
| Jazyk: | angličtina |
| Rok vydání: | 2009 |
| Předmět: |
Engineering
Civil Finite element method Mecànica dels sòlids Mixed finite elements stabilization Local damage models Engineering Multidisciplinary Enginyeria civil::Materials i estructures [Àrees temàtiques de la UPC] Mètode dels elements finits Computer Science Software Engineering Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits [Àrees temàtiques de la UPC] Engineering Marine Engineering Manufacturing Engineering Mechanical Engineering Industrial Solid mechanics and its applications Engineering Ocean Strain softening Mesh dependence Strain localization Engineering Aerospace Engineering Biomedical |
| Zdroj: | Recercat. Dipósit de la Recerca de Catalunya Universitat Jaume I Scipedia Open Access Scipedia SL UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| Popis: | This paper deals with the question of strain localization associated with materials which exhibit softening due to tensile straining. A standard local isotropic Rankine damage model with strain-softening is used as exemplary constitutive model. Both the irreducible and mixed forms of the problem are examined and stability and solvability conditions are discussed. Lack of uniqueness and convergence difficulties related to the strong material nonlinearities involved are also treated. From this analysis, the issue of local discretization error in the pre-localization regime is deemed as the main difficulty to be overcome in the discrete problem. Focus is placed on low order finite elements with continuous strain and displacement fields (triangularP1P1and quadrilateralQ1Q1), although the presented approach is very general. Numerical examples show that the resulting procedure is remarkably robust: it does not require the use of auxiliary tracking techniques and the results obtained do not suffer from spurious mesh-bias dependence. |
| Databáze: | OpenAIRE |
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