The Erdogan fundamental solution-based hybrid boundary node method for fracture problems. (October 2020)

• Record Type: Journal Article
• Authors: Wang, Hai-bin; Yan, Fei; Zhang, Li-wei; Zhang, Wei; Jiang, Quan; Yan, Zhigang; Wei, Zhengli
• Is Part Of: Engineering analysis with boundary elements. Volume 119(2020)
• Page Start: 133
• Page End: 139
• Publication Date: 2020-10
• Subjects: Linear fracture problems -- Erdogan fundamental solutions -- Hybrid boundary node method -- Origin singular intensity factor -- Stress intensity factor; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2020.07.015
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: Based on the Erdogan fundamental solutions for infinite cracked plates, a new hybrid boundary node method for linear fracture problems is proposed in this paper. The origin singular intensity factor for the Erdogan fundamental solutions is developed to overcome the singular when the field points are coincided with the source points, and no virtual source points are needed, a new scheme for calculating the origin singular intensity factor for the Erdogan fundamental solutions is developed. Based on the Erdogan fundamental solutions, the zero traction boundary condition on crack surfaces is naturally and strictly satisfied in this method, and no nodes are arranged on the crack surface in the entire calculation process. Based on the Erdogan fundamental solution of stress intensity factor for the mixed mode crack, the stress intensity factor of the present method can be easily interpolated by the Erdogan fundamental solutions. As a result, no complex scheme for calculating stress intensity factor is needed. Based on those theories and methods, the proposed method is further applied to analyze some linear crack problems, and the computational accuracy, convergence rate and the versatility of the present method are demonstrated in details.