Solutions manufacturées en grandes déformations hyper-élastiques

Authors: Chamberland, Éric
Advisor: Fortin, André
Abstract: Software verification and validation are important phases in a successfull software developpement. The verification phase is the first to be done just after a new code has been produced. The method of manufactured solutions (MMS) is a software verification tool. In this work, the MMS is used to compare various finite element discretizations for the numerical solution of large deformation problems involving hyperelastic materials. The performance of these different discretizations is analyzed in terms of convergence in a suitable norm with respect to mesh size, computational cost and memory consumption. Some interesting features of mixed finite element discretizations are presented and discussed. The test cases presented can also serve as non trivial benchmark problems and as a basis for code verification.
Document Type: Mémoire de maîtrise
Issue Date: 2009
Open Access Date: 16 April 2018
Grantor: Université Laval
Collection:Thèses et mémoires

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