Title:
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Explicit mixed strain-displacement finite element for dynamic geometrically non-linear solid mechanics
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Author:
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Lafontaine, N. M.; Rossi, Riccardo; Cervera Ruiz, Miguel; Chiumenti, Michèle
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Other authors:
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Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria |
Abstract:
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This is a copy of the author's final draft version of an article published in the journal Computational mechanics.
The final publication is available at Springer via
http://dx.doi.org/10.1007/s00466-015-1121-x |
Abstract:
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Low-order finite elements face inherent limitations related to their poor convergence properties. Such difficulties typically manifest as mesh-dependent or excessively stiff behaviour when dealing with complex problems. A recent proposal to address such limitations is the adoption of mixed displacement-strain technologies which were shown to satisfactorily address both problems. Unfortunately, although appealing, the use of such element technology puts a large burden on the linear algebra, as the solution of larger linear systems is needed. In this paper, the use of an explicit time integration scheme for the solution of the mixed strain-displacement problem is explored as an alternative. An algorithm is devised to allow the effective time integration of the mixed problem. The developed method retains second order accuracy in time and is competitive in terms of computational cost with the standard irreducible formulation. |
Abstract:
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Peer Reviewed |
Subject(s):
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-Àrees temàtiques de la UPC::Enginyeria dels materials -Finite element method -Solids--Mechanical properties -explicit -mixed formulation -displacement-strain formulation -incompressible flows -orthogonal subscales -formulation -approximation -elasticity -Elements finits, Mètode dels -Sòlids -- Propietats mecàniques |
Rights:
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Document type:
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Article - Submitted version Article |
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