Dynamic Crack Propagation Analysis Using Scaled Boundary Finite Element Method

• Published in: Transactions of Tianjin University Vol. 19; no. 6; pp. 391 - 397
• Main Author: 林皋 朱朝磊 李建波 胡志强
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2013; Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China; State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China%Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China
• Subjects: Engineering; Humanities and Social Sciences; Mechanical Engineering; multidisciplinary; Science; 动态应力强度因子; 动态裂纹扩展; 应用; 有限元耦合; 比例边界有限元法; 网格重划; 脆性材料; 裂纹尖端; remeshing; scaled boundary finite element method; dynamic fracture; dynamic stress intensity factor
• ISSN: 1006-4982; 1995-8196
• DOI: 10.1007/s12209-013-2114-5

The prediction of dynamic crack propagation in brittle materials is still an important issue in many engineering fields. The remeshing technique based on scaled boundary finite element method（SBFEM） is extended to predict the dynamic crack propagation in brittle materials. The structure is firstly divided into a number of superelements, only the boundaries of which need to be discretized with line elements. In the SBFEM formulation, the stiffness and mass matrices of the super-elements can be coupled seamlessly with standard finite elements, thus the advantages of versatility and flexibility of the FEM are well maintained. The transient response of the structure can be calculated directly in the time domain using a standard time-integration scheme. Then the dynamic stress intensity factor（DSIF） during crack propagation can be solved analytically due to the semi-analytical nature of SBFEM. Only the fine mesh discretization for the crack-tip super-element is needed to ensure the required accuracy for the determination of stress intensity factor（SIF）. According to the predicted crack-tip position, a simple remeshing algorithm with the minimum mesh changes is suggested to simulate the dynamic crack propagation. Numerical examples indicate that the proposed method can be effectively used to deal with the dynamic crack propagation in a finite sized rectangular plate including a central crack. Comparison is made with the results available in the literature, which shows good agreement between each other.