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arXiv · 2406.11461

Sparse approximations for contact mechanics

Kiran Sagar Kollepara·José V. Aguado·Yves Le Guennec·Luisa Silva·Domenico Borzacchiello
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Abstract

Low-rank model order reduction strategies for contact mechanics show limited dimensionality reduction due to linear inseparability of contact pressure field. Therefore, a dictionary based strategy is explored for creating efficient models for frictionless non-adhesive contact. A large dictionary of contact pressure trajectories is generated using a high-fidelity finite element model, while approximating the online query with a small number of dictionary entries. This is achieved by inducing sparsity in the approximation. Accuracy, computational effort and limitations of such methods are demonstrated on few numerical examples.

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Kiran Sagar Kollepara, José V. Aguado, Yves Le Guennec, Luisa Silva, Domenico Borzacchiello. 2024-06-17. Sparse approximations for contact mechanics. https://arxiv.org/abs/2406.11461

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