ANALYSIS OF SYMMETRIC LAMINATED RECTANGULAR PLATES IN PLANE STRESS

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ANALYSIS OF SYMMETRIC LAMINATED RECTANGULAR PLATES IN PLANE STRESS

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 boundary 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.

$bZ'g4Z\XWJM\}0
作 者: YANG Duan-sheng HUANG Yan REN Xian-hai  
作者单位:YANG Duan-sheng(College of Bridge and Structure Engineering, Changsha University of Science and Technology,Changsha,410076, P. R. China)
q1s'E4A,] C:J/Y0HUANG Yan,REN Xian-hai(College of Aerospace and Material Engineering, National University of Defense Technology,Changsha,410073, P. R. China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2006 27(12) 
分类号:O3 
关键词:symmetric laminated plate   anisotropic   stress function methodology   strain   displacement  
机标关键词:boundary conditionsgeneral solutionplane stressnormal loadalgebraic polynomialanalytical solutionlaminated platesstress functionmethod of 
基金项目:国家自然科学基金 
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