具裂纹功能梯度压电带拼接半无限大功能梯度材料的SH波散射问题

Scattering problem of SH wave on crack in functionally graded piezoelectric piezomagnetic strip of ceramic bonded to a homogeneous functionally graded materials

讨论了具裂纹功能梯度压电带拼接半无限大功能梯度材料的SH波散射问题,在电渗透型边界条件情况下,将考虑的问题通过Fourier积分变换把混合边值问题的求解转化为对偶积分方程,然后利用Copson方法将得到的对偶积分方程转化为Fredholm积分方程再进行数值求解,得到了裂纹尖端的应力强度因子、电位移强度因子,最后讨论了材料梯度参数,波数和入射角等因素对标准动应力强度因子的影响.

Scattering problem of SH wave on crack in functionally graded piezoelectric piezomagnetic strip of ceramic bonded to a homogeneous functionally graded materials . Taking account of the permeable boundary conditions, firstly, the system complex governing equations can be obtained by using the constitutive relations of functionally graded piezoelectric materials and functionally graded piezoelectric/piezomagnetic composite materials, secondly, the Fourier integral transform techniques are used to reduce the problem to the solution of dual integral equations. thirdly, this dual integral equations are changed into Fredholm integral equations using of Copson method. And then, the numerical integration technique is made use of to solve the integral equtions. In the end, we get the the stress, electric displacement intensity factors at crack tips, At last, numerical results showed the effect of loading combination parameter, material distribution, the frequency of wave and the angle of wave upon the normalized stress intensity factor.