双周期刚性线的纵向剪切问题  

LONGITUDINAL SHEAR PROBLEM OF THE DOUBLE PERIOD RIGID LINES

作　　者：徐耀玲[1] 蒋持平[1] 

机构地区：[1]北京航空航天大学飞行器设计与应用力学系

出　　处：《工程力学》2002年第4期127-129,共3页Engineering Mechanics

基　　金：国家自然科学基金(19972005);航空科学基金(99G51002)资助项目

摘　　要：夹杂对工程材料特别是复合材料的断裂行为有着重要的影响。从固体非均匀相的观点看,当片状嵌入物的弹性模量比基质材料的弹性模量大得多时,可以将其看成刚性线夹杂,它将引起严重的应力集中。本文研究了双周期刚性线的纵向剪切问题,利用椭圆函数的保角变换和RiemannSchwarz对称原理,求出了问题严格的闭合解。从本文解答的特殊情况,可直接得到已有的一些结果。The presence of inclusions plays an important role in the fracture behavior of engineering material, especially for composite materials. From the viewpoint of inhomogeneity in solids, if the value of the elastic modulus is much greater that of the matrix is, it appears reasonable to consider it as a rigid line, which causes serious stress concentration. In this paper, longitudinal shear problem of the double rigid lines is dealt with. By using the conformal mapping of elliptical function and the symmetric principle of Riemann-Schwarz, we present the solution in closed form. From the limited case of the present solution, some existing results can be obtained.

关 键 词：双周期 纵向剪切 刚性线夹杂 复合材料 应力集中 保角变换 闭合解 

分 类 号：TB33[一般工业技术—材料科学与工程]