含正三角形孔口热电材料的断裂力学分析  

Fracture Mechanics Analysis of Thermoelectric Materials With Equilateral Triangle Holes

作　　者：朱明明 李联和[1] ZHU Mingming;LI Lianhe(Mathematics Science College,Inner Mongolia Normal University,Hohhot 010022,P.R.China)

机构地区：[1]内蒙古师范大学数学科学学院,呼和浩特010022

出　　处：《应用数学和力学》2021年第6期656-664,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11962026;12002175);内蒙古自然科学基金(2020MS1018)。

摘　　要：采用复变函数方法研究了含正三角形孔口热电材料中受到无穷远处均匀电流密度和能量流作用下的断裂问题.在电绝缘和热绝缘边界条件下,获得了温度场和应力场的解析表达式,分析了三角形尺寸、能量流载荷对热电材料性能的影响.结果表明,能量流载荷和三角形尺寸的变化对环向能量流、环向应力、环向热流有较明显的影响.The fracture mechanics for thermoelectric materials with equilateral triangle holes subjected to uni⁃form electric current densities and uniform energy fluxes at infinity was studied by means of the complex varia⁃ble method.The analytic expressions of temperature fields and stress fields were obtained under the boundary conditions of electric insulation and thermal insulation.Effects of the triangle size,the applied electric current density and the energy flux on the thermoelectric material were analyzed.The results show that,the variations of the current density and the triangle size have obvious influences on the annular energy flux,the annular stress and the annular heat flux.

关 键 词：热电材料 复变函数方法 正三角形孔口 

分 类 号：O357.4[理学—流体力学]