Branched crack modelling with the Cracking Particle Method

Ai, W.; Augarde, C.E.; Trevelyan, J.

Abstract

Multiple crack simulation is of great importance in failure analysis since fracture in brittle materials in practice usually comprises multiple cracks. Traditional numerical methods like the extended finite element and the element free Galerkin methods meet dilemmas when solving this kind of problem, as the computational expense increases with the number of level set functions used for crack descriptions. The cracking particle method (CPM) developed by Rabczuk, by which crack patterns are simplified and discretized through a set of cracking segments, has shown to be a promising alternative. The branched crack problem, as a representative of multiple crack problems, is studied here to demonstrate the advantages of the CPM. Cracking particles can be split multiply due to the use of bilinear cracking lines and then the discontinuity at the intersection is fulfilled easily. An adaptivity strategy is adopted to control the size of cracking segments and the number of degrees of freedom. Stress intensity factors at the crack tips are calculated and show good agreement with previous results.

Citation

Ai, W., Augarde, C., & Trevelyan, J. (2023, March). Branched crack modelling with the Cracking Particle Method. Presented at ACME - UK 2016 24th Conference of the Association for Computational Mechanics in Engineering., Cardiff, UK

• Presentation Conference Type: Conference Paper (published)
• Conference Name: ACME - UK 2016 24th Conference of the Association for Computational Mechanics in Engineering.
• Start Date: Mar 31, 2023
• End Date: Apr 1, 2016
• Acceptance Date: Mar 1, 2016
• Publication Date: Apr 1, 2016
• Deposit Date: Apr 15, 2016
• Publicly Available Date: Apr 19, 2016
• Publisher: Cardiff University
• Pages: 125-128
• Book Title: Proceedings of the 24th UK Conference of the Association for Computational Mechanics in Engineering, 31 March - 01 April 2016, Cardiff University, Cardiff.
• Public URL: https://durham-repository.worktribe.com/output/1150534
• Publisher URL: http://acme2016.sciencesconf.org/87095