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论文类型：期刊论文

发表时间：2011-09-01

发表刊物：APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

收录刊物：Scopus、SCIE、EI

卷号：32

期号：9

页面范围：1091-1100

ISSN号：0253-4827

关键字：composite laminates; edge effect; Pipes-Pagano model; interlaminar stresses; symplectic dual system

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.