六边形式双周期分布圆形弹性夹杂平面热弹性问题初探  

Plane thermoelastic problem of hexagonal doubly-periodic arrays of circular elastic inclusions

作　　者：王明斌[1] 刘又文[2] 方棋洪[2] 

机构地区：[1]山东建筑工程学院数理系,山东济南250014 [2]湖南大学工程力学系,湖南长沙410082

出　　处：《湖南理工学院学报（自然科学版）》2004年第3期11-14,33,共5页Journal of Hunan Institute of Science and Technology(Natural Sciences)

基　　金：国家自然科学基金资助课题 ( 10 2 72 0 0 9) ;湖南省自然科学基金资助课题 ( 0 2JJY2 0 14 )

摘　　要：研究无限大基体中六边形式双周期分布圆形弹性夹杂体在均匀拉伸和均匀温度下弹性响应问题。运用M Isidar的区域单元法和复势函数的级数展开技术 ,将问题转化为线性方程组的求解 ,得到了各区应力函数的解决方法。The elastic response problem of the hexagonal doubly-periodic arrays of circular elastic inclusions under the coupled action of uniformly mechanical loads and temperature losds in investigated in the paper.By applying the method of region unit established by M.Isidar and the series expansion technique of the potential functions,the problem can be reduced to solve a set of linear algebraic equations.The solution process of stress functions of two-phase materials is provided.

关 键 词：六边形式双周期分布 圆形弹性夹杂 区域单元法 复势方法 

分 类 号：O174.5[理学—数学]