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Momentum conserving dynamic variational approach for the modeling of fiber-bending stiffness in fiber-reinforced composites

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Momentum conserving dynamic variational approach for the modeling of fiber-bending stiffness in fiber-reinforced composites

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dc.contributor.author Kalaimani, Iniyan es_ES
dc.contributor.author Dietzsch, Julian es_ES
dc.contributor.author Groß, Michael es_ES
dc.date.accessioned 2022-09-27T08:08:01Z
dc.date.available 2022-09-27T08:08:01Z
dc.date.issued 2022-05-11
dc.identifier.isbn 9788490489697
dc.identifier.uri http://hdl.handle.net/10251/186592
dc.description.abstract [EN] Rotor-dynamical systems made of 3D-fiber-reinforced composites which are subjected to dynamical loads exhibit an increased fiber bending stiffness in numerical simulations. We propose a numerical modeling approach of fiber-reinforced composites that treats this behaviour accurately. Our model uses a multi-field mixed finite element formulation based on a dynamic variational approach, as demonstrated in [1], to perform long-term dynamic simulations that yield numerical solutions with increased accuracy in efficient CPU-time.We extend a Cauchy continuum with higher-order gradients of the deformation mapping as an independent field in the functional formulation, as suggested in [2], to model the bending stiffness of fibers accurately. This extended continuum also takes into account the higher-order energy contributions including the fiber curvature along with popular proven approaches that avoid the numerical locking effect of the fibers efficiently.We apply the proposed approach on Cook’s cantilever beam with a hyperelastic, transversely isotropic, polyconvex material behavior in a transient dynamic analysis. The beam is subjected to bending loads with a strong dependence of the overall stiffness on the fiber orientation. The spatial and temporal convergence as well as the conservation properties are analyzed. It is observed that the model needs an improved numerical treatment to conserve total momenta as well as total energy. es_ES
dc.description.sponsorship This research was made possible by the DFG under grants GR 3297/6-1 and GR 3297/4-2, which is gratefully acknowledged. es_ES
dc.format.extent 9 es_ES
dc.language Inglés es_ES
dc.publisher Editorial Universitat Politècnica de València es_ES
dc.relation.ispartof Proceedings of the YIC 2021 - VI ECCOMAS Young Investigators Conference
dc.rights Reconocimiento - No comercial - Compartir igual (by-nc-sa) es_ES
dc.subject Fiber-reinforced material es_ES
dc.subject Fiber-bending stiffness es_ES
dc.subject Mixed variational principle es_ES
dc.subject Energy-momentum time integration es_ES
dc.subject Higher-order finite elements in space and time es_ES
dc.title Momentum conserving dynamic variational approach for the modeling of fiber-bending stiffness in fiber-reinforced composites es_ES
dc.type Capítulo de libro es_ES
dc.type Comunicación en congreso es_ES
dc.identifier.doi 10.4995/YIC2021.2021.12367
dc.relation.projectID info:eu-repo/grantAgreement/DFG//GR 3297%2F6-1 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/DFG//GR 3297%2F4-2 es_ES
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Kalaimani, I.; Dietzsch, J.; Groß, M. (2022). Momentum conserving dynamic variational approach for the modeling of fiber-bending stiffness in fiber-reinforced composites. En Proceedings of the YIC 2021 - VI ECCOMAS Young Investigators Conference. Editorial Universitat Politècnica de València. 214-222. https://doi.org/10.4995/YIC2021.2021.12367 es_ES
dc.description.accrualMethod OCS es_ES
dc.relation.conferencename VI ECCOMAS Young Investigators Conference es_ES
dc.relation.conferencedate Julio 07-09, 2021 es_ES
dc.relation.conferenceplace Valencia, España es_ES
dc.relation.publisherversion http://ocs.editorial.upv.es/index.php/YIC/YIC2021/paper/view/12367 es_ES
dc.description.upvformatpinicio 214 es_ES
dc.description.upvformatpfin 222 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.relation.pasarela OCS\12367 es_ES
dc.contributor.funder Deutsche Forschungsgemeinschaft es_ES


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