TY - EJOU AU - Yu, Yongping AU - Chen, Lihui AU - Zheng, Shaopeng AU - Zeng, Baihui AU - Sun, Weipeng TI - Closed Solution for Initial Post-Buckling Behavior Analysis of a Composite Beam with Shear Deformation Effect T2 - Computer Modeling in Engineering \& Sciences PY - 2020 VL - 123 IS - 1 SN - 1526-1506 AB - This paper is focused on the post-buckling behavior of the fixed laminated composite beams with effects of axial compression force and the shear deformation. The analytical solutions are established for the original control equations (that is not simplified) by applying the Maclaurin series expansion, Chebyshev polynomials, the harmonic balance method and the Newton’s method. The validity of the present method is verified via comparing the analytical approximate solutions with the numerical ones which are obtained by the shooting method. The present third analytical approximate solutions can give excellent agreement with the numerical solutions for a wide range of the deformation amplitudes. What’s more, the effect of shear deformation on the post-bucking configuration of the sandwich beam is also proposed. It can be found that the shear angle has a great influence on the post-buckling load of composite beams. Therefore, the model simplifying the shear formation term as small quantity is not accurate for the case of sandwich beam with soft core. KW - Analytical solution KW - post-buckling KW - sandwich beam KW - harmonic method DO - 10.32604/cmes.2020.07997