| FRACTURE ANALYSIS OF A FUNCTIONALLY GRADED STRIP UNDER PLANE DEFORMATION |
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| 作者姓名： | Cheng Zhanqi Zhong Zheng |
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| 作者单位： | Cheng Zhanqi Zhong Zheng School of Aerospace Engineering and Applied mechanics，Tongji University，Shanghai 200092，China Collage of Civil Engineering，Zhengzhou University，Zhengzhou 450002，China |
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| 摘 要： | In this paper the plane elasticity problem for a functionally graded strip containing a crack is considered. It is assumed that the reciprocal of the shear modulus is a linear function of the thickness-coordinate, while the Possion's ratio keeps constant. By utilizing the Fourier transformation technique and the transfer matrix method, the mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. The influences of the geometric parameters and the graded parameter on the stress intensity factors and the strain energy release rate are investigated. The numerical results show that the graded parameters, the thickness of the strip and the crack size have significant effects on the stress intensity factors and the strain energy release rate.
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| 关 键 词： | 功能等级材料 断裂学 应力强度因子 应力能量释放 |
| 收稿时间： | 2005-01-13 |
| 修稿时间： | 2006-04-30 |
FRACTURE ANALYSIS OF A FUNCTIONALLY GRADED STRIP UNDER PLANE DEFORMATION |
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| Cheng Zhanqi Zhong Zheng.FRACTURE ANALYSIS OF A FUNCTIONALLY GRADED STRIP UNDER PLANE DEFORMATION[J].Acta Mechanica Solida Sinica,2006,19(2):114-121. |
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| Authors: | Cheng Zhanqi Zhong Zheng |
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| Institution: | 1. School of Civil Engineering, Central South University, Changsha 410083, PR China;2. Institute of Advanced Structure Technology, Beijing Institute of Technology, Beijing 100081, PR China;3. College of Engineering, Peking University, Beijing 1008711, PR China |
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| Abstract: | In this paper the plane elasticity problem for a functionally graded strip containing a crack is considered. It is assumed that the reciprocal of the shear modulus is a linear function of the thickness-coordinate, while the Possion's ratio keeps constant. By utilizing the Fourier transformation technique and the transfer matrix method, the mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. The influences of the geometric parameters and the graded parameter on the stress intensity factors and the strain energy release rate are investigated. The numerical results show that the graded parameters, the thickness of the strip and the crack size have significant effects on the stress intensity factors and the strain energy release rate. |
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| Keywords: | functionally graded materials strip fracture stress intensity factors strain energy release rate |
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