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,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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