高荣誉
    （安徽建筑工业学院建筑工程与材料系  合肥 230022）

[提要]  从三维弹性力学的基本方程出发，抛弃任何有关应力和位移模式的人为假定，讨论和分析了叠层地基板的弯曲问题。建立了该地基板的状态方程，得出薄、中厚和强厚的叠层地基板在任意荷载作用下统一形式的解析解。此解满足所有的弹性力学方程，可求出层间和板内任意点9个力学量以及地基反力，并给出了数值结果。
[关键词]  强厚叠层地基板  Cayley-Hamilton定理  状态方程  层间协调  解析解

According to three-dimensional equations of elasticity, and without any assumptions about displacement or stress models, bending problems of laminated foundation plates are discussed and analyzed. State equation of the foundation plates is established. Analytic solutions of unified formula are presented for the thin,moderately thick and thick laminated foundation plates under any loads.Every equation of the elasticity can be satisfied. Nine mechanical quantities of an interface or arbitrary point, and foundation reaction can be obtained.Numerical results are given.
Keywords:  thick foundation laminate; Cayley-Hemilton theorem; state equation; compatible interlaminate; analytic solution