Thermal Post-buckling and mode jumping analysis of antisymmetric angle-ply composite laminates

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Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (08) : 2-8.

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ZHONG Yi-feng1,2 , YU Wen-bin3

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Abstract

In order to effectively analyze the thermal post-buckling performance of antisymmetric angle-ply composite laminates, the two coupled fourth-order governing partial differential equations, namely, the compatibility equation and dynamic governing equation, were deduced from the asymptotically correct, geometrically nonlinear theory. A relatively simpler solution method was developed to solve those equations by transforming the coupled nonlinear governing equations into a system of nonlinear ordinary differential equations and using double Fourier series. The generalized Galerkin method was used to solve boundary value problems corresponding to antisymmetric angle-ply composite plates. The post buckling patterns with different complex before and after mode jumping were analyzed. An example of 4-layers composite laminates under simple-supported, in-plane constrained boundary condition shows that the numerical results in the primary post-buckling region from the present method agree with the finite element analysis (FEA); while the FEA may lose its convergence when solution comes close to the secondary bifurcation point, the analytic method has the capability to explore deeply into the post-secondary bucking realm and capture the mode jumping phenomenon.

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mechanics of composite materials / laminates / thermal postbuckling / mode Jumping

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ZHONG Yi-feng;;YU Wen-bin. Thermal Post-buckling and mode jumping analysis of antisymmetric angle-ply composite laminates[J]. Journal of Vibration and Shock, 2011, 30(08): 2-8