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对非均匀复合材料的动态热弹性断裂力学问题进行了研究，假设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，取每一单层材料参数为常数，应用Fourier变换法，在Laplace域内推导出了控制问题的奇异积分方程组，给出了热应力强度因子的表达式，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．本文的方法具有以下特点：（1）多个垂直于厚度方向的裂纹，（2）材料可以为正交各向异性：（3）考虑了惯性效应．作为算例，研究了带有两个裂纹的功能梯度结构，分析了材料参数的变化对应力强度因子的影响．
The dynamic thermoelastic rupture mechanics problem of heterogeneous composites is studied. Assuming that the material parameters vary along the thickness direction, the composite material is divided into many single layers in this direction. The parameters of each single layer material are taken as constants. In the Laplace domain, a singular integral equation of the control problem is deduced. The expression of thermal stress intensity factor is given. Then the dynamic stress intensity factor of the crack tip is obtained by Laplace numerical inversion. The method in this paper has the following features: (1) several cracks perpendicular to the thickness; (2) the material can be orthotropic: (3) the inertia effect is taken into account. As an example, the functionally graded structure with two cracks was studied and the influence of material parameters on the stress intensity factor was analyzed.