Sparse approximations for contact mechanics
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909225379168256 |
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| author | Kollepara, Kiran Sagar Aguado, José V. Guennec, Yves Le Silva, Luisa Borzacchiello, Domenico |
| author_facet | Kollepara, Kiran Sagar Aguado, José V. Guennec, Yves Le Silva, Luisa Borzacchiello, Domenico |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_11461 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sparse approximations for contact mechanics Kollepara, Kiran Sagar Aguado, José V. Guennec, Yves Le Silva, Luisa Borzacchiello, Domenico Numerical Analysis 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. |
| title | Sparse approximations for contact mechanics |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2406.11461 |