Cracking Elements Method for Simulating Complex Crack Growth

Document Type: Research Paper

Authors

1 School of Civil and Transportation Engineering, Hebei University of Technology, Xiping Road 5340, 300401 Tianjin, China

2 Institute of Continuum Mechanics, Leibniz Universit¨at Hannover, Appelstraße 11, 30157 Hannover, Germany

3 Department of Geotechnical Engineering, Tongji University, Siping Road 1239, 200092 Shanghai, China

4 State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University, Siping Road 1239, 200092 Shanghai, China

Abstract

The cracking elements method (CEM) is a novel numerical approach for simulating fracture of quasi-brittle materials. This method is built in the framework of conventional finite element method (FEM) based on standard Galerkin approximation, which models the cracks with disconnected cracking segments. The orientation of propagating cracks is determined by local criteria and no explicit or implicit representations of the cracks' topology are needed. CEM does not need remeshing technique, cover algorithm, nodal enrichment or specific crack tracking strategies. The crack opening is condensed in local element, greatly reducing the coding efforts and simplifying the numerical procedure. This paper presents numerical simulations with CEM regarding several benchmark tests, the results of which further indicate the capability of CEM in capturing complex crack growths referring propagations of existed cracks as well as initiations of new cracks.

Keywords

Main Subjects

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