均匀热流场中螺型位错与圆弧裂纹的相互作用

The Interaction between Piezoelectric Screw Dislocation and Circular Crack under Remote Uniform Heat Flux

研究压电材料在均匀热流作用下螺型位错与圆弧裂纹的相互作用.综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Rie-mann边值问题求解方法,获得各复势函数之间的解析关系,进一步得到了特殊情况下所讨论问题的封闭解,并求解出像力随温度梯度和位错位置变化的表达式.数值分析结果表明,温度梯度越大,像力变化越明显.

The interaction between piezoelectric screw dislocation and circular crack under remote uniform heat flux was investigated. By combining the theory of sectionally holomorphic function, the analytical extending method, Cauchy model integral, the analysis of the singularity of complex functions and Riemann boundary problem, analytic relations between the complex potentials were obtained. And the closed form solutions of the problem for a special example were presented. The expression of image force acting on piezoelectric screw dislocation versus the change of temperature gradient and dislocation position was obtained. Numerical value analysis showed that the bigger the temperature gradient, the more obviously the imagine force varied.