Analysis of dynamic interaction between an inclusion and a nearby moving crack by BEM |
| |
| Affiliation: | 1. Institute of Engineering Mechanics, Beijing Jiaotong University, Haidian District, Beijing 100044, People'' Republic of China;2. Institute of Mechanics, TU Darmstadt, Hochschulstrasse 1, D-64289 Darmstadt, Germany;1. Department of Physics, Tohoku University, Sendai 980-8578, Japan;2. International Institute for Computational Science and Engineering, Hanoi University of Science and Technology, Hanoi, Viet Nam;3. Department of Design of Machinery and Robot, Hanoi University of Science and Technology, Hanoi, Viet Nam;1. LPMMAT, Faculté des Sciences Ain Chock, Université Hassan II de Casablanca, BP 5366, Mâarif, Casablanca, Morocco;2. Laboratoire de Physique et Mécanique des Matériaux, Université Sultan Moulay Slimane, FST, B.P. 523, 23000 Béni-Mellal, Morocco;3. InstitutNéel, CNRS et Université Joseph Fourier, BP 166, 38042 Grenoble Cedex 9, France;1. Institute of Pathophysiology, College of Basic Medical, Lanzhou University, Lanzhou, 730000, China;2. Pathological Department, Gansu Provincial Cancer Hospital, Lanzhou, 730050, China;3. Gastrointestinal Surgery Department, Gansu Provincial Cancer Hospital, Lanzhou, 730050, China;4. Key Laboratory of Ethnomedicine (Minzu University of China), Ministry of Education, Beijing, 100081, China;5. Orthopedics Department, Lanzhou University Second Hospital, Lanzhou, 730030, China |
| |
| Abstract: | In this paper, the dynamic interaction between an inclusion and a nearby moving crack embedded in an elastic medium is studied by the boundary element method (BEM). To deal with this problem, the multi-region technique and two kinds of time-domain boundary integral equations (BIEs) are introduced. The system is divided into two parts along the interface between the inclusion and the matrix medium. Each part is linear, elastic, homogeneous and isotropic. The non-hypersingular traction boundary integral equation is applied on the crack surfaces; while the traditional displacement boundary integral equation is used on the interface and external boundaries. In the numerical solution procedure, square root shape functions are adopted as to describe the proper asymptotic behavior in the vicinity of the crack-tips. The crack growth is modeled by adding new elements of constant length to the moving crack tip, which is controlled by the fracture criterion based on the maximum circumferential stress. In each time step, the direction and the speed of the crack advance are evaluated. The numerical results of the crack growth path, speed, dynamic stress intensity factors (DSIFs) and dynamic interface tractions for various material combinations and geometries are presented. The effect of the inclusion on the moving crack is discussed. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
