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基于Ｒｅｉｓｎｅｒ剪切板理论和Ｋａｒｍａｎ型板的精化理论，导出了反对称斜交铺层剪切矩形板的广义Ｋａｒｍａｎ大挠度方程，并运用位移型摄动技术，构造出双向压缩四边简支矩形板的后屈曲渐近级数解．文中给出了典型算例，并与忽略横向剪切的薄板理论解作了比较和讨论．分析结果表明，横向剪切效应对双向压缩铺层板的屈曲和后屈曲的影响是明显的．
Based on the theory of Reisner shear plate and the refinement theory of Karman plate, the generalized Karman equation of large-deflection for sheared rectangular plates with anti-symmetric oblique layers was derived. By using the displacement-type perturbation technique, a bidirectionally compressed rectangular rectangular support was constructed. Plate’s post-buckling asymptotic series solution. A typical example is given in this paper and compared with the theoretical solution of thin plate that ignores transverse shear. The analysis results show that the effect of transverse shearing on the buckling and post-buckling of bi-directionally compressed laminates is obvious.