无单元法在平面热应力分析中的应用  

Application of meshless method to plane thermal stress analysis

作　　者：洪新兰[1] 邓苗毅[1] 李炳南 

机构地区：[1]郑州大学环境与水利学院,河南郑州450002 [2]河南省水利电力对外公司,河南郑州450002

出　　处：《河南科学》2004年第4期455-457,共3页Henan Science

基　　金：河南省自然科学基金项目(0212001800)

摘　　要：采用无单元法对平面热应力问题进行了研究。首先从热应力边值问题出发,给出了与其等价的能量泛函的弱变分形式,并导出了无单元方法的计算公式。在此基础上,求解了平面稳态温度场的第一类边值条件的温度分布,并对其进行了热应力分析,取得了较好的数值结果。In this paper, Meshless Method is adopted for solving thermal stress problems of plane. For the boundary value problem of it, the thin variation of energy functional, which is equivalent to it, is obtained, and the computing formulas based on Meshless Method are educed. On the base of it, temperature distribution of plane constant temperature field is solved. Then the thermal stress problems of it are analyzed. Thus the accuracy of the method used in the thermal stress problems is very satisfying.

关 键 词：无单元法 移动最小二乘法 平面稳态温度场 热应力 能量泛函 弱变分形式 温度分布 

分 类 号：O343.6[理学—固体力学]