Abstract
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.
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Communicated by ZHONG Wan-xie
Project supported by the National Natural Science Foundation of China (No.19872072) Corresponding author YANG Duan-sheng
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Yang, Ds., Huang, Y. & Ren, Xh. Analysis of symmetric laminated rectangular plates in plane stress. Appl Math Mech 27, 1719–1726 (2006). https://doi.org/10.1007/s10483-006-1214-1
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DOI: https://doi.org/10.1007/s10483-006-1214-1