| A MOVING CRACK IN A NONHOMOGENEOUS MATERIAL STRIP |
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| 作者姓名： | Wang Baolin Han Jiecai |
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| 作者单位： | Center for Composite Materials，Harbin Institute of Technology，Harbin 150001，China |
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| 基金项目： | Wang Baolin acknowledges the New Century Excellent Scholar Award from the Ministry of Education of China. |
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| 摘 要： | This paper considers an anti-plane moving crack in a nonhomogeneous material strip of finite thickness. The shear modulus and the mass density of the strip are considered for a class of functional forms for which the equilibrium equation has analytical solutions. The problem is solved by means of the singular integral equation technique. The stress field near the crack tip is obtained. The results are plotted to show the effect of the material non-homogeneity and crack moving velocity on the crack tip field. Crack bifurcation behaviour is also discussed. The paper points out that use of an appropriate fracture criterion is essential for studying the stability of a moving crack in nonhomogeneous materials. The prediction whether the unstable crack growth will be enhanced or retarded is strongly dependent on the type of the fracture criterion used. Based on the analysis, it seems that the maximum 'anti-plane shear' stress around the crack tip is a suitable failure criterion for moving cracks in nonhomogeneous materials.
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| 关 键 词： | 非均匀材料 断裂力学 移动裂纹 平衡方程 |
| 收稿时间： | 2005-09-19 |
| 修稿时间： | 2006-05-29 |
A MOVING CRACK IN A NONHOMOGENEOUS MATERIAL STRIP |
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| Wang Baolin Han Jiecai.A MOVING CRACK IN A NONHOMOGENEOUS MATERIAL STRIP[J].Acta Mechanica Solida Sinica,2006,19(3):223-230. |
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| Authors: | Wang Baolin Han Jiecai |
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| Affiliation: | Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, China |
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| Abstract: | This paper considers an anti-plane moving crack in a nonhomogeneous material strip of finite thickness. The shear modulus and the mass density of the strip are considered for a class of functional forms for which the equilibrium equation has analytical solutions. The problem is solved by means of the singular integral equation technique. The stress field near the crack tip is obtained. The results are plotted to show the effect of the material non-homogeneity and crack moving velocity on the crack tip field. Crack bifurcation behaviour is also discussed. The paper points out that use of an appropriate fracture criterion is essential for studying the stability of a moving crack in nonhomogeneous materials. The prediction whether the unstable crack growth will be enhanced or retarded is strongly dependent on the type of the fracture criterion used. Based on the analysis, it seems that the maximum 'anti-plane shear' stress around the crack tip is a suitable failure criterion for moving cracks in nonhomogeneous materials. |
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| Keywords: | nonhomogeneous materials fracture mechanics moving crack |
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