Mixed peridynamic formulations for compressible and incompressible finite deformations

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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

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Sum total of downloads: 28

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).
License of this version: CC BY 4.0 Unported
Document Type: article
Publishing status: publishedVersion
Issue Date: 2020
Appears in Collections:Fakultät für Maschinenbau

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pos. country downloads
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1 image of flag of Germany Germany 19 67.86%
2 image of flag of United States United States 3 10.71%
3 image of flag of China China 2 7.14%
4 image of flag of No geo information available No geo information available 1 3.57%
5 image of flag of Russian Federation Russian Federation 1 3.57%
6 image of flag of Croatia Croatia 1 3.57%
7 image of flag of Australia Australia 1 3.57%

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