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中文摘要：
研究了正交各向异性功能梯度材料含平行周期裂纹的平面I型和II型断裂问题.考虑正交各向异性的主轴方向分别为平行和垂直于带的边界,运用Fourier变换,将混合边值问题的求解转化为求解第一类Cauchy奇异积分方程,获得了周期裂纹尖端应力场.结果显示了非均匀材料参数,材料力学性质和裂纹间距对应力强度因子的影响,对功能梯度材料的设计及应用有参考价值.
英文摘要：
This paper investigates the mode I and mode II crack problem of a periodic array of parallel cracks in a functionally graded orthotropic material.The principal axes of orthotropy are assumed to be parallel and perpendicular to the crack plane.By using Fourier transforms,the mixed boundary value problem was reduced as a system of Cauchy singular integral equations of the first kind.The local stress field around the periodic cracks tip was obtained.The influences of parameters such as nonhomogeneous parameter,the material mechanics properties and crack spacing on the stress intensity factors（SIFs）are studied.The results obtained have the reference value in the design and application of functionally graded materials.
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