Semi-incremental model order reduction approach for fatigue damage computations
| Autor: | Alameddin, Shadi, Fau, Amélie, Nackenhorst, Udo, Néron, David, Ladevèze, Pierre |
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| Přispěvatelé: | Leibniz Universität Hannover [Hannover] (LUH), Laboratoire de mécanique et technologie (LMT), Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Ecole Normale Supérieure Paris-Saclay (ENS Paris Saclay) |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Virtual Design and Validation, Lecture Notes in Applied and Computational Mechanics Virtual Design and Validation, Lecture Notes in Applied and Computational Mechanics, 93, pp.229-247, 2020, ⟨10.1007/978-3-030-38156-1_12⟩ |
| DOI: | 10.1007/978-3-030-38156-1_12⟩ |
| Popis: | International audience; High fidelity structural problems that involve nonlinear material behaviour, when subjected to cyclic loading, usually demand infeasible computational resources; this demonstrates the need for efficient model order reduction (MOR) techniques in order to shrink these demands to fit into the available means. The solution of cyclic damage problems in a model order reduction framework is investigated in this chapter. A semi-incremental framework based on a large time increment (LATIN) approach is proposed to tackle cyclic damage computations under variable amplitude and frequency loadings. The involved MOR approach provides a low-rank approximation in terms of proper generalised decomposition (PGD) of the solution. The generated PGD basis can be interpreted as a set of linear subspaces altered on the fly to the current problem settings. The adaptation of PGD to new settings is based on a greedy algorithm that may lead to a large-sized reduced order basis (ROB). Thus, different orthonormalisation and compression techniques were evaluated to ensure the optimality of the generated ROB in [1] and will be overviewed here. The proposed implementation and a displacement formulated finite element (FE) incremental framework are compared to illustrate their differences in terms of memory footprint and computational time. Numerical examples with variable loadings are discussed, and a typical implementation is provided as open-source code, available at https://gitlab.com/shadialameddin/romfem. |
| Databáze: | OpenAIRE |
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