Application of Enhanced Peridynamic Correspondence Formulation for Three-Dimensional Simulations at Large Strains

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OriginalspracheEnglisch
Titel des SammelwerksLecture Notes in Applied and Computational Mechanics
ErscheinungsortCham
Herausgeber (Verlag)Springer Nature
Seiten81-104
Seitenumfang24
ISBN (elektronisch)9783030381561
ISBN (Print)9783030381554
PublikationsstatusVeröffentlicht - 4 März 2020

Publikationsreihe

NameLecture Notes in Applied and Computational Mechanics
Band93
ISSN (Print)1613-7736
ISSN (elektronisch)1860-0816

Abstract

Within the theory of Peridynamics standard continuum mechanical material models can be applied using the so-called correspondence formulation. However, the correspondence formulation is susceptible to instabilities in the resulting displacement field, which makes the method inapplicable for simulations at large strains. Hence, the application of a suitable numerical approach to eliminate this drawback is required. Besides a general introduction into Peridynamics, different possibilities to prevent the appearing of the arising instabilities are presented in this chapter. One such approach comes without the necessity of additional stabilisation parameters and is based on the subdivision of the non-local interaction region of interest. Further, it is denoted as the enhanced peridynamic correspondence formulation. In the numerical examples it is demonstrated that for this formulation the instabilities in the displacement field disappear for three-dimensional examples at large strains. In addition, previously unknown limitations of the enhanced peridynamic correspondence formulation are shown within the numerical examples. These are slight, non-physical, deviations in the deformation field and in case of torsion dominated problems a non-physical representation of the stress field.

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Application of Enhanced Peridynamic Correspondence Formulation for Three-Dimensional Simulations at Large Strains. / Hartmann, Philipp; Weißenfels, Christian; Wriggers, Peter.
Lecture Notes in Applied and Computational Mechanics. Cham: Springer Nature, 2020. S. 81-104 (Lecture Notes in Applied and Computational Mechanics; Band 93).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandBeitrag in Buch/SammelwerkForschungPeer-Review

Hartmann, P, Weißenfels, C & Wriggers, P 2020, Application of Enhanced Peridynamic Correspondence Formulation for Three-Dimensional Simulations at Large Strains. in Lecture Notes in Applied and Computational Mechanics. Lecture Notes in Applied and Computational Mechanics, Bd. 93, Springer Nature, Cham, S. 81-104. https://doi.org/10.1007/978-3-030-38156-1_5
Hartmann, P., Weißenfels, C., & Wriggers, P. (2020). Application of Enhanced Peridynamic Correspondence Formulation for Three-Dimensional Simulations at Large Strains. In Lecture Notes in Applied and Computational Mechanics (S. 81-104). (Lecture Notes in Applied and Computational Mechanics; Band 93). Springer Nature. https://doi.org/10.1007/978-3-030-38156-1_5
Hartmann P, Weißenfels C, Wriggers P. Application of Enhanced Peridynamic Correspondence Formulation for Three-Dimensional Simulations at Large Strains. in Lecture Notes in Applied and Computational Mechanics. Cham: Springer Nature. 2020. S. 81-104. (Lecture Notes in Applied and Computational Mechanics). doi: 10.1007/978-3-030-38156-1_5
Hartmann, Philipp ; Weißenfels, Christian ; Wriggers, Peter. / Application of Enhanced Peridynamic Correspondence Formulation for Three-Dimensional Simulations at Large Strains. Lecture Notes in Applied and Computational Mechanics. Cham : Springer Nature, 2020. S. 81-104 (Lecture Notes in Applied and Computational Mechanics).
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