功能梯度压电压磁板中热机电的耦合分析

Analysis of thermo-mechanical-electric behaviour of functionally graded piezoelectric piezomagnetic material plate

讨论了功能梯度压电压磁板中热机电的耦合分析.在电渗透型边界条件下,通过Fourier积分变换把混合边值问题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、电位移强度因子和磁通量强度因子.最后,通过数值算例讨论了温度及材料系数对应力强度因子的影响.

The thermo-mechanical-electric behaviour of functionally graded piezoelectric piezomagnetic material plate is discussed in the paper.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 composite materials.Secondly,the Fourier integral transform techniques are used to reduce the problem to the dual integral equations.Thirdly,these dual integral equations are changed into Fredholm integral equations by using Copson method.And then,the numerical integration technique is made use of to solve the integral equations,the stress,electric displacement and magnetic intensity factors at crack tips are obtained.At last,the numerical results show the effect of loading combination parameter,material distribution,the frequency of temperature and material coefficient upon the normalized intensity factor.