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Acta Mechanica
Erschienen in: Acta Mechanica 8/2023

09.05.2023 | Original Paper

Numerical simulation for quasi-static crack growth and dynamic crack branching by coupled state-based PD and XFEM

verfasst von: Bing Chen, Tiantang Yu, Sundararajan Natarajan, Qing Zhang, Tinh Quoc Bui

Erschienen in: Acta Mechanica | Ausgabe 8/2023

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Abstract

This paper presents a novel framework combining the state-based peridynamics (SBPD) with the extended finite element method (XFEM) for crack propagation in two-dimensional solids. Numerical examination is conducted fulfilling both the quasi-static and time-dependent loading conditions. The computational domain is partitioned into two regions: (a) SPBD region: the vicinity of crack tips and potential region where the crack is likely to propagate, and (b) XFEM region: the area behind the crack tip and the rest of the body. The salient features of the developed framework include: (a) avoiding requirement of a priori knowledge of enrichment functions like the conventional XFEM; (b) without fracture criteria for crack propagation; (c) no restriction on the value of Poisson’s ratio like the bond-based peridynamics; and (d) higher computational efficiency than the pure peridynamics. The efficiency and accuracy of the proposed framework are systematically demonstrated through benchmark examples involving quasi-static crack growth and dynamic crack branching problems.
Vorheriger Artikel A semi-analytical method for computing dispersion curves of propagating waves underground
Nächster Artikel Equivalent mechanical modeling and dynamic analysis of a large annular tensegrity structure
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Metadaten
Titel
Numerical simulation for quasi-static crack growth and dynamic crack branching by coupled state-based PD and XFEM
verfasst von
Bing Chen
Tiantang Yu
Sundararajan Natarajan
Qing Zhang
Tinh Quoc Bui
Publikationsdatum
09.05.2023
Verlag
Springer Vienna
Erschienen in
Acta Mechanica / Ausgabe 8/2023
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-023-03585-4

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