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，Ｆｏｕｒｉｅｒ变换法，在Ｌａｐｌａｃｅ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，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基底／功能梯度薄膜结构，分析了材料参数的优化对降低应力强度因子的意义．
The problem considered here is the response of non homogeneous composite material containing some cracks subjected to dynamic loading. It is assumed that the composite material is orthotropic and all the material properties only depend on the coordinates y(along the thickness direction). In the analysis, the elastic region is divided into a number of plies of infinite length. The material properties are taken to be constants for each ply. By utilizing the Laplace transform and Fourier transform technique, the general solutions for plies are derived. The singular integral equations of the entire elastic region are obtained and solved by virtual displacement principle. Attention is focused on the time dependent full field solutions of stress intensity factor and strain energy release rate. As a numerical illustration, the dynamic stress intensity factor of a substrate/functionally graded film structure with two cracks under suddenly applied forces on cracks face are presented for various material non homogeneity parameters.
出处
《固体力学学报》
CAS
CSCD
北大核心
1998年第4期321-328,共8页
Chinese Journal of Solid Mechanics
关键词
功能梯度材料
断裂力学
复合材料
动态
非均匀
functionally graded materials, multi layers, integral equation, fracture mechanics, stress intensity factor, energy release rate
