By using the variational-asymptotic method, a universal asymptotic model for composite sandwich plates is established to achieve a great compromise between efficiency and accuracy through the synthesis of two competing theories: equivalent single-layer theories and layer-wise theories. When each layer of a sandwich structure can be individually considered as an elastic plate, and all material constitutive constants of such plates can be assumed to be of the same order, an equivalent plate model can be constructed from the equivalent single-layer perspective. It has an asymptotically correct energy functional, capable of capturing the transverse deformations, but still limited to the zeroth-order approximation. Then, by taking into account mismatched constituent material properties, a universal model for predicting mechanical behavior of composite sandwich plates is then systematically derived from the layer-wise perspective. It has another asymptotically correct energy functional with respect to the core-layer’s plate variables and implements into a single unified representation for subsequent application to sandwich plate problems with any face-to-core-stiffness and length-to-thickness ratios. In particular, to resolve theoretical shortcomings found in published works, complementary theoretical procedures are incorporated and used into the present approach by considering the interlaminar transverse stress continuity conditions as essential conditions in conventional layer-wise theories and by providing three-dimensional recovery relations as necessary ingredients for theories based on various dimensional reduction processes. Finally, as a preliminary validation, several examples available in the literature are presented and investigated. Together with critical comparisons of the three-dimensional exact solutions, the close agreement demonstrates the capability and accuracy of this present approach.

通过使用变分渐近方法，建立了复合夹心板的通用渐进模型，通过等效的单层理论和逐层理论这两种竞争理论的综合，在效率和精度之间取得了很大的折衷。当可以将夹层结构的每一层分别视为一个弹性板，并且可以假定此类板的所有材料本构常数为相同数量级时，可以从等效的单层角度构造等效的板模型。它具有渐近正确的能量函数，能够捕获横向变形，但仍限于零阶近似。然后，通过考虑不匹配的组成材料特性，然后，从层的角度系统地得出了用于预测复合夹层板力学性能的通用模型。它相对于核心层的板变量具有另一种渐近正确的能量函数，并实现为一个统一的表示形式，以便随后应用于以任何面对核心的刚度和长度与厚度的比率将板问题夹在中间。特别是要解决出版作品中的理论缺陷，通过将层间横向应力连续性条件视为常规分层理论中的必要条件，并通过提供三维恢复关系作为基于各种降维过程的理论的必要组成部分，可以将互补的理论程序并入本方法中。最后，作为初步验证，提供并研究了文献中提供的几个示例。与三维精确解决方案的严格比较一起，紧密的协议证明了本方法的能力和准确性。