| 非均匀复合材料中反平面裂纹的动态断裂力学研究 |
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| 引用本文： | 王保林,杜善义,韩杰才. 非均匀复合材料中反平面裂纹的动态断裂力学研究[J]. 复合材料学报, 1998, 15(4): 119-127 |
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| 作者姓名： | 王保林 杜善义 韩杰才 |
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| 作者单位： | 哈尔滨工业大学复合材料研究所, 哈尔滨 150001 |
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| 摘 要： | 对于非均匀复合材料中多个裂纹的动态断裂力学问题, 提出了一种分析方法, 假设复合材料为正交各向异性并含有多个垂直于厚度方向的裂纹, 材料参数沿厚度方向为变化的, 沿该方向将复合材料划分为许多单层, 假设单层材料参数为常数, 应用柔度矩阵/刚度矩阵方法及Fourier变换法, 在L aplace 域内推导出了控制问题的奇异积分方程组, 并用虚位移原理求解, 给出了应力强度因子及能量释放率的表达式, 然后利用Laplace 数值反演, 得出了裂纹尖端的动态应力强度因子和能量释放率。作为算例, 研究了带有两个裂纹的功能梯度结构, 分析了材料参数的优化对降低应力强度因子的意义。
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| 关 键 词： | 非均匀复合材料 反平面裂纹 动态断裂力学 应力强度因子 能量释放率 |
| 收稿时间： | 1997-03-16 |
| 修稿时间： | 1997-05-26 |
DYNAMIC FRACTURE MECHANICS ANALYSIS FOR ANTIPLANE CRACKS IN NONHOMOGENEOUS COMPOSITE MATERIAL |
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| Wang Baolin,Du Shanyi,Han Jiecai. DYNAMIC FRACTURE MECHANICS ANALYSIS FOR ANTIPLANE CRACKS IN NONHOMOGENEOUS COMPOSITE MATERIAL[J]. Acta Materiae Compositae Sinica, 1998, 15(4): 119-127 |
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| Authors: | Wang Baolin Du Shanyi Han Jiecai |
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| Affiliation: | Center for Composite Material, Harbin Institute of Technology, Harbin 150001 |
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| Abstract: | The problem considered here is the antiplane response of a nonhomogeneous composite material containing some cracks subjected to dynamic loadings. It is assumed that the composite material is orthotropic and all the material properties only depend on the co ordinate y (along the thickness direction). In the analysis, the elastic region is divided into a number of strips of infinite length. The material properties are taken to be constants for each strip. By utilizing the Laplace transform and Fourier transform technique, the general solutions for strips are derived. The complete solution of the entire elastic region is then obtained through introducing the mechanical boundary and strip interface conditions via the flexibility/stiffness matrix approach. Attention is focused on the time dependent full field solutions of stresses, stress intensity factor and strain energy release rate. As a numerical illustration, the dynamic stress intensity factor of a functionally graded material with two cracks under sudden applied forces on crack faces are presented for various material nonhomogeneity parameters. |
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| Keywords: | nonhomogeneous composite material antiplane cracks dynamic fracture mechanics stress intensity factor energy release rate |
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