Data-Driven Finite Element Models of Passive Filamentary Networks
A data-driven procedure is introduced to construct finite element models of heterogeneous systems for which an accurate microscopic description is available. A filter to define coarsened finite element nodal values is defined from the principal modes obtained by singular value decomposition of the m...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/6878265 |
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| _version_ | 1832558273427931136 |
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| author | Brian Adam Sorin Mitran |
| author_facet | Brian Adam Sorin Mitran |
| author_sort | Brian Adam |
| collection | DOAJ |
| description | A data-driven procedure is introduced to construct finite element models of heterogeneous systems for which an accurate microscopic description is available. A filter to define coarsened finite element nodal values is defined from the principal modes obtained by singular value decomposition of the microscopic data. The resulting finite element nodal values are subsequently used to reconstruct local linearization of the system behavior, defining drag and stiffness matrices for an overdamped system. The procedure is exemplified for an actin mesh described by Brownian dynamics and eight-node cuboid finite elements but is generally applicable with respect to both the microscopic model and the type of finite element approximation. In contrast to standard finite element formulations derived from hypotheses on assumed deformation behavior, the data-driven procedure introduced here is completely determined by the observed behavior be it obtained from simulations or experiment. |
| format | Article |
| id | doaj-art-c811e9499dfb4307857cb3907a7d581d |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-c811e9499dfb4307857cb3907a7d581d2025-02-03T01:32:50ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/68782656878265Data-Driven Finite Element Models of Passive Filamentary NetworksBrian Adam0Sorin Mitran1Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250, USADepartment of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250, USAA data-driven procedure is introduced to construct finite element models of heterogeneous systems for which an accurate microscopic description is available. A filter to define coarsened finite element nodal values is defined from the principal modes obtained by singular value decomposition of the microscopic data. The resulting finite element nodal values are subsequently used to reconstruct local linearization of the system behavior, defining drag and stiffness matrices for an overdamped system. The procedure is exemplified for an actin mesh described by Brownian dynamics and eight-node cuboid finite elements but is generally applicable with respect to both the microscopic model and the type of finite element approximation. In contrast to standard finite element formulations derived from hypotheses on assumed deformation behavior, the data-driven procedure introduced here is completely determined by the observed behavior be it obtained from simulations or experiment.http://dx.doi.org/10.1155/2018/6878265 |
| spellingShingle | Brian Adam Sorin Mitran Data-Driven Finite Element Models of Passive Filamentary Networks Complexity |
| title | Data-Driven Finite Element Models of Passive Filamentary Networks |
| title_full | Data-Driven Finite Element Models of Passive Filamentary Networks |
| title_fullStr | Data-Driven Finite Element Models of Passive Filamentary Networks |
| title_full_unstemmed | Data-Driven Finite Element Models of Passive Filamentary Networks |
| title_short | Data-Driven Finite Element Models of Passive Filamentary Networks |
| title_sort | data driven finite element models of passive filamentary networks |
| url | http://dx.doi.org/10.1155/2018/6878265 |
| work_keys_str_mv | AT brianadam datadrivenfiniteelementmodelsofpassivefilamentarynetworks AT sorinmitran datadrivenfiniteelementmodelsofpassivefilamentarynetworks |