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任意形状夹杂内、外应力场表达式及其有限元验证
引用本文:吴萍,张廷波,黄模佳.任意形状夹杂内、外应力场表达式及其有限元验证[J].南昌大学学报(理科版),2009,33(2).
作者姓名:吴萍  张廷波  黄模佳
作者单位:南昌大学,工程力学研究所,江西,南昌,330031
基金项目:国家自然科学基金,江西省主要学科学术和技术带头人培养计划项目,高等学校博士学科点专项科研基金,江西省自然科学基金,江西省教育厅科技计划,国家留学回国人员科研启动基金 
摘    要:借助平面应变问题的Green函数,可推导出任意弱形状夹杂的Eshelby张量表达式.利用该Eshelby张量,给出了由温度本征应变在夹杂内、外产生的应变场和应力场理论解.目的是利用大型有限元软件ADINA和ANSYS数值模拟含任意弱形状夹杂内、外部的应变场和应力场,验证我们的应力场理论解,为任意形状夹杂Eshelby张量的研究提供数值实验验证方法.计算结果表明:对于任意弱形状夹杂,我们的应力场理论解与ADINA和ANSYS数值模拟结果吻合的很好.

关 键 词:任意弱形状夹杂的Eshebly张量  夹杂内、外部应力场  ADINA和ANSYS

Expressions of Stress Field and Strain Field Inside and Outside and Weakcy Non-ciraclar Inclusion and Their FEM Verification
WU Ping,ZHANG Tin-bo,HUANG Mo-jia.Expressions of Stress Field and Strain Field Inside and Outside and Weakcy Non-ciraclar Inclusion and Their FEM Verification[J].Journal of Nanchang University(Natural Science),2009,33(2).
Authors:WU Ping  ZHANG Tin-bo  HUANG Mo-jia
Institution:Civil Engineering Institute of Engineering Mechanics;Nanchang University;Nanchang 330031;China
Abstract:By Green's function on plane strain problems,we derive an explicit expression of Eshelby tensor for any weakly anisotropic shape inclusion.Using the Eshelby's expression,we give expressions of the stress fields and the strain fields inside and outside the inclusions.The goal of this paper is to use ADINA program and ANSYS program for FEM to simulate the stress fields and to check our theoretical expressions.The simulating method based on FEM can be used to verify the results of any shape Eshelby tensor.Our ...
Keywords:Eshelby tensor for any weakly anisotropic shape inclusion  stress field inside and outside inclusion  ADINA and ANSYS  
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