Discrete nonlinear elastodynamics in a port‐Hamiltonian framework
Abstract: We provide a fully nonlinear port‐Hamiltonian formulation for discrete elastodynamical systems as well as a structure‐preserving time discretization. The governing equations are obtained in a variational manner and represent index‐1 differential algebraic equations. Performing an index reduction, one obtains the port‐Hamiltonian state space model, which features the nonlinear strains as an independent state next to position and velocity. Moreover, hyperelastic material behavior is captured in terms of a nonlinear stored energy function. The model exhibits passivity and losslessness and has an underlying symmetry yielding the conservation of angular momentum. We perform temporal discretization using the midpoint discrete gradient, such that the beneficial properties are inherited by the developed time stepping scheme in a discrete sense. The numerical results obtained in a representative example are demonstrated to validate the findings.
- 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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Discrete nonlinear elastodynamics in a port‐Hamiltonian framework ; day:15 ; month:09 ; year:2023 ; extent:9
Proceedings in applied mathematics and mechanics ; (15.09.2023) (gesamt 9)
- Creator
- DOI
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10.1002/pamm.202300144
- URN
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urn:nbn:de:101:1-2023091515302072471023
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:52 AM CEST
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Kinon, Philipp L.
- Thoma, Tobias
- Betsch, Peter
- Kotyczka, Paul
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