A boundary element application for mixed modeloading idealized sawtooth fracture surface |
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| Affiliation: | 1. Department of Applied Mathematics, Chung-Hua University,Hsin-Chu, Taiwan 30067, Peoples Republic of China;1. School of Mechanical Engineering and Automation, Beihang University, Beijing, 100191, PR China;2. Department of Mechanical Engineering, Tsinghua University, Beijing, 100084, PR China;1. Department of Microelectronics, Delft University of Technology, 2628 CD Delft, the Netherlands;2. School of Microelectronics, Southern University of Science and Technology, Shenzhen 518055, China;3. Academy for Engineering & Technology, Fudan University, Shanghai 200433, China;4. School of Material Science and Engineering, Harbin University of Science and Technology, Harbin, 150040, China;5. The Key Laboratory of Optoelectronic Technology &Systems, College of Optoelectronic Engineering, Education Ministry of China, Chongqing University, Chongqing 400044, China;1. Key Laboratory of Advanced Ceramics and Machining Technology of Ministry of Education, Tianjin University, Tianjin, 300072, China;2. School of Materials Science and Engineering, Tianjin University, Tianjin, 300072, China;3. Department of Materials Science and Engineering, Virginia Tech, Blacksburg, 24061, USA;1. Flexible 3D System Integration Laboratory, Osaka University, 8–1, Mihogaoka, Osaka 567-0047, Ibaraki, Japan;2. Thermal Management Team, Production engineering Research Institute, LG Electronics, Inc., Gangseo-gu, Seoul 07796, Republic of Korea;3. Central Research Laboratory, C. Uyemura & Co., Ltd., 1–5-1, Deguchi, Hirakata, Osaka 573-0065, Japan |
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| Abstract: | In this paper, a 2-D elastic-plastic BEM formulation predicting the reduced mode IIand the enhanced mode I stress intensity factors are presented. The dilatant boundary conditions (DBC) are assumed to be idealized uniform sawtooth crack surfaces and an effective Coulombsliding law. Three types of crack face boundary conditions, i.e. (1) BEM sawtooth model-elasticcenter crack tip; (2) BEM sawtooth model-plastic center crack tip; and (3) BEM sawtoothmodel-edge crack with asperity wear are presented. The model is developed to attempt todescribe experimentally observed non-monotonic, non-linear dependence of shear crack behavioron applied shear stress, superimposed tensile stress, and crack length. The asperity sliding isgoverned by Coulombs law of friction applied on the inclined asperity surface which hascoefficient of friction μ. The traction and displacement Greens functions which derive fromNaviers equations are obtained as well as the governing boundary integral equations for an infiniteelastic medium. Accuracy test is performed by comparison stress intensity factors of the BEMmodel with analytical solutions of the elastic center crack tip. The numerical results show thepotential application of the BEM model to investigate the effect of mixed mode loading problemswith various boundary conditions and physical interactions. |
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