A crack perpendicular to the bimaterial interface in finite solid |
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| Affiliation: | 1. LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China;2. Department of Mechanical Engineering, Blekinge Institute of Technology, S-371 79 Karlskrona, Sweden;1. School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798, Singapore;2. Institute of High Performance Computing, A⁎STAR, Singapore 138632, Singapore;3. School of Civil Engineering, Wuhan University, Wuhan, Hubei 430072, China;1. Department of Chemical Engineering, Myongji University, Yongin, 17058, Republic of Korea;2. The National Creative Research Initiative Center for Intelligent Hybrids, The WCU Program of Chemical Convergence for Energy & Environment, School of Chemical & Biological Engineering, Seoul National University, Seoul, 08826, Republic of Korea |
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| Abstract: | The dislocation simulation method is used in this paper to derive the basic equations for a crack perpendicular to the bimaterial interface in a finite solid. The complete solutions to the problem, including the T stress and the stress intensity factors are obtained. The stress field characteristics are investigated in detail. It is found that when the crack is within a weaker material, the stress intensity factor is smaller than that in a homogeneous material and it decreases when the distance between the crack tip and interface decreases. When the crack is within a stiffer material, the stress intensity factor is larger than that in a homogeneous material and it increases when the distance between the crack tip and interface decreases. In both cases, the stress intensity factor will increase when the ratio of the size of a sample to the crack length decreases. A comparison of stress intensity factors between a finite problem and an infinite problem has been given also. The stress distribution ahead of the crack tip, which is near the interface, is shown in details and the T stress effect is considered. |
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