Meshless simulation of anti-plane crack problems by the method of fundamental solutions using the crack Green's function. (1st March 2020)

• Record Type: Journal Article
• Authors: Ma, Ji; Chen, Wen; Zhang, Chuanzeng; Lin, Ji
• Is Part Of: Computers & mathematics with applications. Volume 79:issue 5(2020)
• Page Start: 1543
• Page End: 1560
• Publication Date: 2020-03-01
• Subjects: Analytical crack Green's function -- Method of fundamental solutions -- Meshless method -- Anti-plane crack problems -- Stress intensity factor; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2019.09.016
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In this paper, we present a meshless method of fundamental solutions using the analytical crack Green's function to solve anti-plane crack problems. The proposed scheme is a simple, powerful and effective collocation method for crack problems since it only requires the boundary discretization without special treatments of the crack. Three typical numerical examples, namely, a central crack, an off-central crack and a central slant crack are presented and discussed to illustrate the accuracy, convergence and stability of the proposed method.