Thermal Post-buckling and mode jumping analysis of antisymmetric angle-ply composite laminates
ZHONG Yi-feng1,2; YU Wen-bin3
1. School of Civil Engineering, Chongqing 400045, China;2.Key Laboratory of New Technology for Construction of Cities in Mountain Area(Chongqing University), Ministry of Education, Chongqing 400045, China;3. Department of mechanics and aerospace engineering, Utah state University, U.S
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.