基于等效夹杂法的含多圆形夹杂的无限平面热应力分析  

A Thermal Stress Analysis of Infinite Plane with Multiple Circular Inclusions Based on the Equivalent Inclusion Method

作　　者：黄云海 张炯 杨超 刘卫东 HUANG Yun-hai;ZHANG Jiong;YANG Chao;LIU Wei-dong(School of Civil Engineering and Architecture,Wuyi University,Jiangmen 529020,China;School of Mechanical Engineering,Hohai University,Nanjing 210098,China)

机构地区：[1]五邑大学土木建筑学院,广东江门529020 [2]河海大学机械学院,江苏南京210098

出　　处：《五邑大学学报（自然科学版）》2021年第3期73-78,共6页Journal of Wuyi University(Natural Science Edition)

基　　金：国家自然科学基金青年项目(41702323);广东省自然科学基金资助项目(2018A030313430)。

摘　　要：为研究含多个圆形夹杂的无限大平面在均匀温度变化时的热弹性场分布,本文基于等效夹杂法且首次将Eshelby内部张量和Eshelby外部张量相结合推导了含多个圆形夹杂的无限大平面下均匀温度变化时的应力应变场计算公式,并通过FORTRAN编程实现该算法.由多圆夹杂的无限平面热应力分析可知:方形排布的夹杂可以明显降低界面热应力差值,当夹杂与基体的剪切模量比大于10时应力差值开始收敛.与有限元法相比,本文方法结果准确且计算效率更高.In order to study the thermoelastic field distribution of an infinite plane with multiple circular inclusions under uniform temperature change,based on the equivalent inclusion method and combining the Eshelby internal tensor and Eshelby external tensor for the first time,the stress-strain field calculation formula of an infinite plane with multiple circular inclusions under uniform temperature change was derived,and the algorithm was implemented by FORTRAN programming.From the analysis of infinite plane thermal stress of multi-element inclusions,it can be seen that the square arrangement of inclusions can obviously reduce the interfacial thermal stress difference,and when the shear modulus ratio of inclusions to matrix is greater than 10,the stress difference begins to converge.Compared with the finite element method,the present method is more efficient and accurate.

关 键 词：等效夹杂法 热弹性场 多圆夹杂 

分 类 号：O343.1[理学—固体力学]