ANALYSIS OF SYMMETRIC LAMINATED RECTANGULAR PLATES IN PLANE STRESS  

作　　者：杨端生 黄炎 任仙海 

机构地区：[1]College of Bridge and Structure Engineering,Changsha University of Science and Technology,Changsha 410076,P. R. China [2]College of Aerospace and Material Engineering,National University of Defense Technology,Changsha 410073,P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2006年第12期1719-1726,共8页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No.19872072)

摘　　要：Symmetric laminated plates used usually are anisotropic plates. Based on the fundamental equation for anisotropic rectangular plates in plane stress problem, a general analytical solution is established accurately by method of stress function. Therefore the general formula of stress and displacement in plane is given. The integral constants in general formula can be determined by boundary conditions. This general solution is composed of solutions made by trigonometric function and hyperbolic function, which can satisfy the problem of arbitrary boundary conditions along four edges, and the algebraic polynomial solutions which can satisfy the problem of bonndary conditions at four corners. Consequently this general solution can be used to solve the plane stress problem with arbitrary boundary conditions. For example, a symmetric laminated square plate acted with uniform normal load, tangential load and nonuniform normal load on four edges is calculated and analyzed.Symmetric laminated plates used usually are anisotropic plates. Based on the fundamental equation for anisotropic rectangular plates in plane stress problem, a general analytical solution is established accurately by method of stress function. Therefore the general formula of stress and displacement in plane is given. The integral constants in general formula can be determined by boundary conditions. This general solution is composed of solutions made by trigonometric function and hyperbolic function, which can satisfy the problem of arbitrary boundary conditions along four edges, and the algebraic polynomial solutions which can satisfy the problem of bonndary conditions at four corners. Consequently this general solution can be used to solve the plane stress problem with arbitrary boundary conditions. For example, a symmetric laminated square plate acted with uniform normal load, tangential load and nonuniform normal load on four edges is calculated and analyzed.

关 键 词：symmetric laminated plate ANISOTROPIC stress function methodology STRAIN DISPLACEMENT 

分 类 号：O343.9[理学—固体力学]