Wang Xu, Schiavone Peter
School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghaxi, China.
Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada.
Math Mech Solids. 2023 Aug;28(8):1790-1797. doi: 10.1177/10812865221137084. Epub 2022 Dec 7.
We use complex variable techniques to study the decoupled two-dimensional steady-state heat conduction and thermoelastic problems associated with an elliptical elastic inhomogeneity perfectly bonded to an infinite matrix subjected to a nonuniform heat flux at infinity. Specifically, the nonuniform remote heat flux takes the form of a linear distribution. It is found that the internal temperature and thermal stresses inside the elliptical inhomogeneity are quadratic functions of the two in-plane coordinates. Explicit closed-form expressions of the analytic functions characterizing the temperature and thermoelastic field in the matrix are derived.
我们使用复变函数技术来研究与一个完美粘结到无限大基体上的椭圆形弹性不均匀体相关的二维解耦稳态热传导和热弹性问题，该无限大基体在无穷远处受到非均匀热流的作用。具体而言，非均匀远程热流呈线性分布形式。结果发现，椭圆形不均匀体内的内部温度和热应力是两个平面内坐标的二次函数。推导了表征基体中温度和热弹性场的解析函数的显式封闭形式表达式。
