【摘要】 应用分层原理分析了具有不同弹性模量含共线双裂纹的功能梯度材料断裂问题。通过积分变换得到嵌入功能梯度材料裂纹的应力场和位移场,结合边界条件、连续条件及单个裂纹的应力场和位移场,将求解该裂纹问题转化为求解奇异积分方程组。通过求解奇异积分方程组得到裂纹的应力强度因子。最后针对材料弹性模量和裂纹几何参数对应力强度因子的影响进行了探讨。结果表明材料弹性模量分布形式对裂纹的应力强度因子影响显著,该结果可为功能梯度材料制备及材料设计等提供理论依据。更多还原

【Abstract】 The fracture problem of the functionally graded material with collinear cracks under the condition of different elasticity moduli. The stress fields and displacement fields of cracks in the functionally graded strip can be obtained by means of the method of integral transform. And solving the problem of cracks is equivalent to solving the problem of singular integral equations combined with boundary conditions and continuity conditions after solving the stress fields and displacement fields of each crack. The stress intensity factors can be obtained after solving the singular integral equations. The effects of elasticity moduli of materials and geometric parameters of cracks on SIFs are discussed. The results show that the distribution of elasticity moduli may affect SIFs significantly. And this study can provide scientific basis for forming FGMs and designing the property distribution in FGMs.更多还原