具有柱状夹杂无限体均匀变温问题的闭合解

The Solution in Closed form for Uniform Temperature Change Problem of An Infinite Body with A Set of Cylindrical Inclusions

研究具有柱状夹杂无限体的均匀变温问题,其中夹杂与基体材料不同但具有相同的剪切弹性模量。应用复变函数方法及其分区全纯函数理论,结合Riemann边值问题的研究成果,求得了问题的闭合解,作为特殊情形得到了单圆柱形夹杂时的精确解。

The uniform temperature change problem of an infinite body with a set of cylindrical inclusions is dealt with, in which all the cylindrical inclusions are made of the same materials and the ma- terial of the inclusions is different from that of the matrix, but both of them are with the same shear modulus. By employing the complex variable method and its theory of sectionally holomorphic function, combining the research achievements for the Riemann boundary value problem, the solution in closed form for the above problem is obtained, as a special case;the exact solution for single circular cylindrical inclusions is also deduced.