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中文摘要：
讨论在反平面载荷作用下功能梯度复合板条断裂问题，复合板由两类不同的功能梯度板条弱间断粘接而成，一个板条中存在内部周期裂纹。采用有限傅里叶变换和Hilbert核奇异积分方程方法求解该断裂问题。通过讨论断裂参数的数值解，分析了功能梯度非均匀参数，功能梯度层厚度，裂纹与界面间距以及周期带长等对应力强度因子的影响。
英文摘要：
The effect of weak - discontinuous interface on the periodic inner cracks in a laminated functionally graded composite is analyzed under anti -plane shear loads. Fourier transformation and dislocation density functions are employed to reduce the solution of the mixed - boundary value prob- lem for Hilbert - type singular integral equation, which are solved by Lobatto - Chebyshev technique. The effects of the FGM nonhomogeneity, the layers thickness, the distance between of cracks and the weak -discontinuous interface, crack spacing on the fracture parameter are discussed in detail.
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