摘要
研究含抛物线型裂纹热电材料的断裂力学问题。利用复变函数方法和保角变换技术,在电绝缘和热渗透边界条件下,获得了电势、温度场和应力场的解析表达式。在此基础上,得到能量通量和环向应力的实表达式。
The fracture mechanics of thermoelectric with parabolic crack was studied by using the complex variable method in this paper.The analytic expressions of electric potential,temperature fields and stress field were obtained under the boundary conditions of electric insulation and thermal penetration.Based on the results,the real expressions of energy flux and hoop stress were derived.
作者
朱明明
李联和
ZHU Ming-ming;LI Lian-he(Mathematics Science College,Inner Mongolia Normal University,Hohhot 010022,China)
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2020年第6期502-508,共7页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(11962026,11462020,11862021,11502123)
内蒙古自然科学基金资助项目(2017MS0104,NJZY18022)
内蒙古师范大学研究生科研创新基金资助项目(CXJJS19101)。
关键词
热电材料
复变函数方法
抛物线型裂纹
环向应力
thermoelectric materials
complex variable method
parabolic cracks
hoop stress
