Mixed peridynamic formulations for compressible and incompressible finite deformations

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dc.identifier.uri http://dx.doi.org/10.15488/10669
dc.identifier.uri https://www.repo.uni-hannover.de/handle/123456789/10747
dc.contributor.author Bode, Tobias
dc.contributor.author Weißenfels, Christian
dc.contributor.author Wriggers, Peter
dc.date.accessioned 2021-03-30T06:51:15Z
dc.date.available 2021-03-30T06:51:15Z
dc.date.issued 2020
dc.identifier.citation Bode, T.; Weißenfels, C.; Wriggers, P.: Mixed peridynamic formulations for compressible and incompressible finite deformations. In: Computational Mechanics 65 (2020), Nr. 5, S. 1365-1376. DOI: https://doi.org/10.1007/s00466-020-01824-2
dc.description.abstract The large flexibility of meshfree solution schemes makes them attractive for many kinds of engineering applications, like Additive Manufacturing or cutting processes. While numerous meshfree methods were developed over the years, the accuracy and robustness are still challenging and critical issues. Stabilization techniques of various kinds are typically used to overcome these problems, but often require the tuning of unphysical parameters. The Peridynamic Petrov–Galerkin method is a generalization of the peridynamic theory of correspondence materials and offers a stable and robust alternative. In this work, the stabilization free approach is extended to three dimensional problems of finite elasticity. Locking-free mixed formulations for nearly incompressible and incompressible materials are developed and investigated in convergence studies. In general, an efficient implicit quasi-static framework based on Automatic Differentiation is presented. The numerical examples highlight the convergence properties and robustness of the proposed formulations. © 2020, The Author(s). eng
dc.language.iso eng
dc.publisher Berlin [u.a.] : Springer
dc.relation.ispartofseries Computational Mechanics 65 (2020), Nr. 5
dc.rights CC BY 4.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.subject interpolating moving least squares eng
dc.subject meshfree methods eng
dc.subject mixed methods eng
dc.subject nonlinear elasticity eng
dc.subject peridynamic correspondence formulation eng
dc.subject peridynamic Petrov–Galerkin method eng
dc.subject.ddc 004 | Informatik ger
dc.subject.ddc 530 | Physik ger
dc.title Mixed peridynamic formulations for compressible and incompressible finite deformations
dc.type article
dc.type Text
dc.relation.essn 1432-0924
dc.relation.issn 0178-7675
dc.relation.doi https://doi.org/10.1007/s00466-020-01824-2
dc.bibliographicCitation.issue 5
dc.bibliographicCitation.volume 65
dc.bibliographicCitation.firstPage 1365
dc.bibliographicCitation.lastPage 1376
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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