Mixed peridynamic formulations for compressible and incompressible finite deformations

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OriginalspracheEnglisch
Seiten (von - bis)1365-1376
Seitenumfang12
FachzeitschriftComputational mechanics
Jahrgang65
Ausgabenummer5
Frühes Online-Datum7 Feb. 2020
PublikationsstatusVeröffentlicht - Mai 2020

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.

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Mixed peridynamic formulations for compressible and incompressible finite deformations. / Bode, Tobias; Weißenfels, Christian; Wriggers, Peter.
in: Computational mechanics, Jahrgang 65, Nr. 5, 05.2020, S. 1365-1376.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Bode T, Weißenfels C, Wriggers P. Mixed peridynamic formulations for compressible and incompressible finite deformations. Computational mechanics. 2020 Mai;65(5):1365-1376. Epub 2020 Feb 7. doi: 10.1007/s00466-020-01824-2
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AU - Weißenfels, Christian

AU - Wriggers, Peter

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