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| INTERFACIAL CRACK ANALYSIS IN THREE-DIMENSIONAL TRANSVERSELY ISOTROPIC BI-MATERIALS BY BOUNDARY INTEGRAL EQUATION METHOD | |
| 作者姓名： | 赵明暤 李冬霞 沈亚鹏 |
| 作者单位： | Department of Engineering Mechanics Zhengzhou University，Basic Department Zhongyuan Institute of Technology，Department of Engineering Mechanics Xi'an Jiaotong University Zhengzhou 450002 P. R. China，Zhengzhou 450007 P. R. China，Xi'an 710049，P.R.China |
| 基金项目： | Project supported by the Program for New Century Excellent Talents in University of Henan Province （HANCET） |
| 摘 要： | The integral-differential equations for three-dimensional planar interfacial cracks of arbitrary shape in transversely isotropic bimaterials were derived by virtue of the Somigliana identity and the fundamental solutions, in which the displacement discontinuities across the crack faces are the unknowns to be determined. The interface is parallel to both the planes of isotropy. The singular behaviors of displacement and stress near the crack border were analyzed and the stress singularity indexes were obtained by integral equation method. The stress intensity factors were expressed in terms of the displacement discontinuities. In the non-oscillatory case, the hyper-singular boundary integral-differential equations were reduced to hyper-singular boundary integral equations similar to those of homogeneously isotropic materials. |
| 关 键 词： | 界面断裂分析 边界积分方程 横断等方性 微分积分方程 |
| 文章编号： | 0253-4827（2005）12-1539-08 |
| 收稿时间： | 2004-05-17 |
| 修稿时间： | 2005-08-17 |
Interfacial crack analysis in three-dimensional transversely isotropic bi-materials by boundary integral equation method |
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| Ming-hao Zhao,Dong-xia Li,Ya-peng Shen.INTERFACIAL CRACK ANALYSIS IN THREE-DIMENSIONAL TRANSVERSELY ISOTROPIC BI-MATERIALS BY BOUNDARY INTEGRAL EQUATION METHOD[J].Applied Mathematics and Mechanics(English Edition),2005,26(12):1539-1546. | |
| Authors: | Ming-hao Zhao Dong-xia Li Ya-peng Shen |
| Institution: | 1. Department of Engineering Mechanics, Zhengzhou University, Zhengzhou, 450002, P. R. China 2. Basic Department, Zhongyuan Institute of Technology, Zhengzhou, 450007, P. R. China 3. Department of Engineering Mechanics, Xi’an Jiaotong University, Xi’an, 710049, P.R.China |
| Abstract: | The integral-differential equations for three-dimensional planar interfacial cracks of arbitrary shape in transversely isotropic bimaterials were derived by virtue of the Somigliana identity and the fundamental solutions, in which the displacement discontinuities across the crack faces are the unknowns to be determined. The interface is parallel to both the planes of isotropy. The singular behaviors of displacement and stress near the crack border were analyzed and the stress singularity indexes were obtained by integral equation method. The stress intensity factors were expressed in terms of the displacement discontinuities. In the non-oscillatory case, the hyper-singular boundary integral-differential equations were reduced to hyper-singular boundary integral equations similar to those of homogeneously isotropic materials. |
| Keywords: | three-dimensional bi-material transversely isotropic interfacial crack stress intensity factor integral-differential equation |
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