Mixed stabilized finite element methods in nonlinear solid mechanics Part I: Formulation
This paper exploits the concept of stabilized finite element methods to formulate stable mixed stress/displacement and strain/displacement finite elements for the solution of nonlinear solid mechanics problems. The different assumptions and approximations used to derive the methods are exposed. The...
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| Veröffentlicht in: | Computer methods in applied mechanics and engineering Jg. 199; H. 37-40; S. 2559 - 2570 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Kidlington
Elsevier
01.08.2010
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| ISSN: | 0045-7825 |
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| Abstract | This paper exploits the concept of stabilized finite element methods to formulate stable mixed stress/displacement and strain/displacement finite elements for the solution of nonlinear solid mechanics problems. The different assumptions and approximations used to derive the methods are exposed. The proposed procedure is very general, applicable to 2D and 3D problems. Implementation and computational aspects are also discussed, showing that a robust application of the proposed formulation is feasible. Numerical examples show that the results obtained compare favorably with those obtained with the corresponding irreducible formulation. |
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| AbstractList | This paper exploits the concept of stabilized finite element methods to formulate stable mixed stress/displacement and strain/displacement finite elements for the solution of nonlinear solid mechanics problems. The different assumptions and approximations used to derive the methods are exposed. The proposed procedure is very general, applicable to 2D and 3D problems. Implementation and computational aspects are also discussed, showing that a robust application of the proposed formulation is feasible. Numerical examples show that the results obtained compare favorably with those obtained with the corresponding irreducible formulation. |
| Author | CHIUMENTI, M CERVERA, M CODINA, R |
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| Keywords | Solid mechanics Nonlinear solid mechanics High strain Subgrid scale method Stabilization Irreducible operator Displacement(deformation) Large displacement Modeling Mixed method Finite element method Algebraic sub-grid scales Stabilization methods Orthogonal sub-grid scales Mixed finite element interpolations |
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| SubjectTerms | Approximation C (programming language) Displacement Exact sciences and technology Finite element method Fundamental areas of phenomenology (including applications) Mathematical analysis Mathematical models Mathematics Methods of scientific computing (including symbolic computation, algebraic computation) Nonlinearity Numerical analysis. Scientific computation Physics Sciences and techniques of general use Solid mechanics Structural and continuum mechanics |
| Title | Mixed stabilized finite element methods in nonlinear solid mechanics Part I: Formulation |
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