【摘要】 采用积分变换 对偶积分方程方法 ,研究了正交各向异性功能梯度材料反平面裂纹问题 .文中假定材料沿两个主轴方向的剪切模量成比例按双参数梯度模型变化 ,通过求解对偶积分方程并考虑变形Bessel函数的渐近特性 ,推导出了裂纹尖端应力场 .最后考察了材料非均匀性及正交性对应力强度因子的影响 .更多还原

【Abstract】 The problem of an orthotropic functionally graded material with a finite crack subjected to antiplane shear was studied in this paper by using the method of integral transforms and dual integral equations. The shear moduli in the two principal directions of the functionally graded material were assumed to vary proportionately as gradient model of double parameters. By solving dual integral equations and considering the asymptotic behavior, the local stress field around the crack tip was derived. Finally, the influences of material nonhomogeneity and orthotropy on stress intensity factor were investigated.更多还原