Quasi-static and dynamic fracture modeling by the nonlocal operator method

verfasst von

Yongzheng Zhang, Huilong Ren, Pedro Areias, Xiaoying Zhuang, Timon Rabczuk

Abstract

In this paper, a phase field model is developed and applied to the simulation of quasi-static and dynamic fracture using the nonlocal operator method (NOM). The phase field's nonlocal weak and associated strong forms are derived by a variational principle. The NOM requires only the definition of the energy. Its differential operators replace the shape functions in methods such as FEM which drastically simplifies the implementation. We present both a nonlocal implicit phase field model and a nonlocal explicit phase field model for fracture; the first approach is better suited for quasi-static fracture problems while the key application of the latter one is dynamic fracture. To demonstrate the performance of the underlying approach, several benchmark examples for quasi-static and dynamic fracture are solved.

Organisationseinheit(en)

Institut für Kontinuumsmechanik

Externe Organisation(en)

Bauhaus-Universität Weimar
Universidade de Lisboa
Ton Duc Thang University

Typ

Artikel

Journal

Engineering Analysis with Boundary Elements

Band

133

Seiten

120-137

Anzahl der Seiten

18

ISSN

0955-7997

Publikationsdatum

01.12.2021

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Analysis, Ingenieurwesen (insg.), Computational Mathematics, Angewandte Mathematik

Elektronische Version(en)

https://doi.org/10.1016/j.enganabound.2021.08.020 (Zugang: Geschlossen)