A nonlinear manifold model order reduction approach for thermo‐mechanically coupled plasticity
Abstract: This study employs a nonlinear manifold mode order reduction (MOR) approach to address the high computational cost inherent in multi‐physical nonlinear models, which are discretized by the finite element method (FEM), with a particular focus on thermo‐mechanically coupled plasticity under finite strain conditions. Utilizing nodal snapshots obtained from a full‐order simulation, a projection matrix is constructed through singular value decomposition (SVD), facilitating the construction of a reduced system within a lower‐dimensional space. This reduction process entails the multiplication of the discretized residual vector and stiffness matrix by a linear projection matrix, complemented by the incorporation of a nonlinear projection component to ensure accurate reconstruction within the nonlinear part. Subsequently, a comprehensive three‐dimensional benchmark test is conducted to assess the accuracy and efficacy of the reduced‐order model.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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A nonlinear manifold model order reduction approach for thermo‐mechanically coupled plasticity ; day:06 ; month:11 ; year:2024 ; extent:8
Proceedings in applied mathematics and mechanics ; (06.11.2024) (gesamt 8)
- Creator
- DOI
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10.1002/pamm.202400070
- URN
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urn:nbn:de:101:1-2411081305278.909766849226
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:21 AM CEST
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Associated
- Zhang, Qinghua
- Zhang, Jian
- Reese, Stefanie
- Brepols, Tim
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