Analytical solutions to edge effect of composite laminates based on symplectic dual system  

作　　者：姚伟岸 聂臆瞩 肖锋 

机构地区：[1]State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology [2]Department of Computer Science,Dalian Medical University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2011年第9期1091-1100,共10页应用数学和力学（英文版）

基　　金：supported by the National Basic Research Program of China (No. 2010CB832704);the National Natural Science Foundation of China (No. 10772039)

摘　　要：In the symplectic space composed of the original variables,displacements,and their dual variables,stresses,the symplectic solution for the composite laminates based on the Pipes-Pagano model is established in this paper.In contrast to the traditional technique using only one kind of variables,the symplectic dual variables include displacement components as well as stress components.Therefore,the compatibility conditions of displacement and stress at interfaces can be formulated simultaneously.After being introduced into the symplectic dual system,the uniform schemes,such as the separation of variables and symplectic eigenfunction expansion method,can be implemented conveniently to analyze composite laminate problems.An analytical solution for the free edge effect of composite laminates is obtained,showing the effectiveness of the symplectic dual method in analyzing composite laminates.In the symplectic space composed of the original variables,displacements,and their dual variables,stresses,the symplectic solution for the composite laminates based on the Pipes-Pagano model is established in this paper.In contrast to the traditional technique using only one kind of variables,the symplectic dual variables include displacement components as well as stress components.Therefore,the compatibility conditions of displacement and stress at interfaces can be formulated simultaneously.After being introduced into the symplectic dual system,the uniform schemes,such as the separation of variables and symplectic eigenfunction expansion method,can be implemented conveniently to analyze composite laminate problems.An analytical solution for the free edge effect of composite laminates is obtained,showing the effectiveness of the symplectic dual method in analyzing composite laminates.

关 键 词：composite laminates edge effect Pipes-Pagano model interlaminar stresses symplectic dual system 

分 类 号：O343[理学—固体力学]