Direct data-driven algorithms for multiscale mechanics
We propose a randomized data-driven solver for multiscale mechanics problems which improves accuracy by escaping local minima and reducing dependency on metric parameters, while requiring minimal changes relative to non-randomized solvers. We additionally develop an adaptive data-generation scheme t...
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| Published in: | Computer methods in applied mechanics and engineering Vol. 433; p. 117525 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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Elsevier B.V
01.01.2025
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| ISSN: | 0045-7825 |
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| Abstract | We propose a randomized data-driven solver for multiscale mechanics problems which improves accuracy by escaping local minima and reducing dependency on metric parameters, while requiring minimal changes relative to non-randomized solvers. We additionally develop an adaptive data-generation scheme to enrich data sets in an effective manner. This enrichment is achieved by utilizing material tangent information and an error-weighted k-means clustering algorithm. The proposed algorithms are assessed by means of three-dimensional test cases with data from a representative volume element model. |
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| AbstractList | We propose a randomized data-driven solver for multiscale mechanics problems which improves accuracy by escaping local minima and reducing dependency on metric parameters, while requiring minimal changes relative to non-randomized solvers. We additionally develop an adaptive data-generation scheme to enrich data sets in an effective manner. This enrichment is achieved by utilizing material tangent information and an error-weighted k-means clustering algorithm. The proposed algorithms are assessed by means of three-dimensional test cases with data from a representative volume element model. |
| ArticleNumber | 117525 |
| Author | Gierden, C. Ortiz, M. Reese, S. Prume, E. |
| Author_xml | – sequence: 1 givenname: E. orcidid: 0000-0002-2227-7540 surname: Prume fullname: Prume, E. email: erik.prume@ifam.rwth-aachen.de organization: Institute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, D-52074 Aachen, Germany – sequence: 2 givenname: C. orcidid: 0000-0003-1978-3570 surname: Gierden fullname: Gierden, C. organization: Institute of Mechanics of Materials, Ruhr University Bochum, Universitätsstrasse 150, D-44801 Bochum, Germany – sequence: 3 givenname: M. surname: Ortiz fullname: Ortiz, M. organization: Hausdorff Center for Mathematics, Universität Bonn, Endenicher Allee 60, 53115 Bonn, Germany – sequence: 4 givenname: S. orcidid: 0000-0003-4760-8358 surname: Reese fullname: Reese, S. organization: Institute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, D-52074 Aachen, Germany |
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| Keywords | Computational mechanics Algorithms Data-Driven Multiscale mechanics |
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