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中文摘要：
现存文献关于梯度材料断裂问题的研究大都是假设材料参数为坐标的指数函数或幂函数，而其它函数形式较少采用。本文假设功能梯度材料剪切模量和密度的倒数均为坐标的线性函数，而泊松比为常量，研究功能梯度板条的反平面运动裂纹问题。利用Fourier积分变换技术和传递矩阵法将混合边值问题化为一对奇异积分方程，通过数值求解奇畀积分方程获得板条运动裂纹在反平面载荷作用下的动态应力强度因子，并讨论了裂纹运动速度、裂纹相对尺寸、以及材料非均匀性对动态应力强度因子的影响，结果证明梯度参数、裂纹速度和几何尺寸对材料动态断裂行为有显著影响。
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