受热载荷两相材料界面端应力场的新型有限元分析  

A NOVEL FINITE ELEMENT ANALYSIS OF STRESSES NEAR APEX OF A BI-MATERIAL WEDGE SUBJECTED TO THERMAL LOADING

作　　者：平学成[1] 陈梦成[2] 郑冰冰[1] 许玢[1] 

机构地区：[1]华东交通大学机电工程学院,南昌330013 [2]华东交通大学土木建筑学院,南昌330013

出　　处：《固体力学学报》2013年第6期590-597,共8页Chinese Journal of Solid Mechanics

基　　金：自然科学基金项目(51065008);江西省自然科学基金项目(2010GZW0013);江西省青年科学家培养计划项目(20112BCB23013)资助

摘　　要：基于一种特殊有限元特征分析方法获得两相材料界面端奇异性应力和位移场数值特征解,据此开发了一种新型超级单元模型,用于分析热-机耦合载荷作用下两相材料界面端的应力场.与机械载荷作用下超级单元模型的区别在于,该模型在能量泛函中考虑了热-机耦合的影响,将应力场分为奇异项和非奇异项,而奇异性项又可分解为热致部分和力致部分.模型的有效性通过了经验解和传统有限元方法的验证;模型可以避免在界面端邻域网格高度加密,提高了计算速度,对于分析多奇异性点应力干涉问题有重要意义.A super wedge tip element for application to bi-material wedge is developed utilizing the numerical stress and displacement field eigen-solutions based on an ad hoc finite element eigen-analysis method. Singular stresses near apex of arbitrary bi-material wedges under coupled thermo-mechanical load-ing can be obtained from the super wedge tip element. Different from the super wedge tip element for pure mechanical loading, the thermal-mechanical coupling behavior is considered in the expression of total poten-tial functional, and the thermal-mechanical stress field is decomposed as singular terms and non-singular terms in which the singular terms include the homogeneous solutions of thermal and mechanical loadings. The validity and applicability of this novel element are varified through existing asymptotic solutions and conventional detailed finite element analysis. All numerical examples show that the novel finite element method yields satisfactory solutions with few elements, and is applicable to the problem of multiple singular points.

关 键 词：热机耦合 杂交元 界面端 奇异单元 

分 类 号：O346.1[理学—固体力学]