电致伸缩材料内电极附近应力奇异性研究

应用复变函数的方法,研究电致伸缩材料内置电极附近的应力奇异性.基于精确的电边界条件,采用Hilbert理论以及复变函数中的Cauchy积分与留数定理,首先分别给出了柔性电极和刚性电极的复势函数解,然后就这两种极限情况,讨论了电极刚度对应力场奇异性的影响.研究结果表明:无论对柔性电极还是刚性电极,Max-well应力的应力场均呈现r-1阶的奇异性,但对于前者总应力奇异性系数为零,而对于后者总应力奇异性系数与基体的材料常数有关.

STUDIES ON STRESS SINGULARITIES AROUND AN ELECTRODE IN ELECTROSTRICTIVE MATERIALS

Based on complex variable method,this work studies the singular structure of stresses at the tips of an electrode embodied in an electrostrictive Material.By using exact electric boundary conditions on the electrode,combined with the solution of Hilbert-problem and the principle of the Cauchy-type integrals,the complex potentials are derived,respectively,for a soft electrode and a rigid electrode.Then,the singular factors of stress fields are presented for these two limiting cases.It is found that in genera...