Analytical solutions to edge effect of composite laminates based on symplectic dual system |
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Authors: | Wei-an Yao Yi-zhu Nie Feng Xiao |
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Institution: | Wei-an YAO 1,Yi-zhu NIE 1,Feng XIAO 2 (1.State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian 116024,Liaoning Province,P.R.China,2.Department of Computer Science,Dalian Medical University,Dalian 116044,P.R.China) |
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Abstract: | 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. |
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Keywords: | composite laminates edge effect Pipes-Pagano model interlaminar stresses symplectic dual system |
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