【摘要】 利用奇异积分方程方法研究了一个含裂纹的功能梯度压电压磁条与半无限大功能梯度压电压磁材料粘结在非渗透边界条件下的Ⅲ型裂纹问题.首先通过积分变换得到问题的形式解,然后利用边界条件通过积分变换与留数定理得到了一组奇异积分方程,最后用Gauss-Chebyshev方法进行数值求解,讨论了材料参数、材料非均匀参数以及裂纹几何形状等对裂纹尖端应力强度因子的影响.结果表明,压电压磁复合材料中反平面问题的应力奇异形式与一般弹性材料中反平面问题的应力奇异形式相同,但材料梯度参数对功能梯度压电压磁复合材料中的应力强度因子和电位移强度因子有很大影响.更多还原

【Abstract】 In this paper,the mode Ⅲ crack problem of a functionally graded magneto-electro-elastic strip bonded to a half infinite functionally graded magneto-electro-elastic materials is investigated.It is assumed that the elastic stiffness,piezoelectric constant,and dielectric permittivity of the magneto-electro-elastic vary continuously along the thickness of the strip.The crack is assumed to be magneto-electrically impermeable.Integral transforms and dislocation density functions are employed to deduce Cauchy singular integral equations which can be solved numerically by Gauss-Chebyshev method.Numerical results are obtained to illustrate the variations of the stress intensity factors(SIFs) with the parameters such as material non-homogeneity factor,crack geometric and loading conditions are shown graphically.更多还原