In linear elasticity, the exact first order analytical expressions for each of the effective moduli of n-phase laminate composites are accessible from solving the stress-strain relations under the conditions of uniform stresses and uniform strains normally and transversally to the layers respectively. Several authors have extended successfully this here called “consistency phase boundary conditions” (CBC) solution method to coupled properties of the generalized elastic types, as magnetic-electric-elastic (MEE) ones. This solution for laminates is also shown since long accessible from the Fourier-Green-Eshelby homogenization frameworks whose all (Hashin-Shtrikman, Mori-Tanaka, Self-Consistent, …) estimates coincide into the first order linear solution. It is here pointed that all the analytical expressions of the individual moduli from the CBC solution obey a same generic explicit simple form that results from a known essential property of the strain and stress dual Green operators (GOs) for infinite layers in infinite media. Using both these two GOs, this “generic GO-based” (gGO) solution for laminates retrieves the entire tensors of effective stiffness and compliance moduli whose terms are verified identical to those from the CBC - hence homogenization - solution.

在线性弹性中，n 相层压复合材料的每个有效模量的精确一阶解析表达式可以通过分别求解均匀应力和均匀应变条件下的应力 - 应变关系，分别垂直和横向于层。几位作者成功地将这种称为“相容相边界条件”(CBC) 的求解方法扩展到广义弹性类型的耦合特性，如磁-电-弹性 (MEE) 类型。长期以来，这种层压板的解决方案也可以从 Fourier-Green-Eshelby 均质化框架中获得，其所有（Hashin-Shtrikman、Mori-Tanaka、Self-Consistent，...）估计都符合一阶线性解决方案。这里指出，来自 CBC 解的单个模量的所有解析表达式都遵循相同的通用显式简单形式，该形式源于无限介质中无限层的应变和应力对偶格林算子 (GO) 的已知基本属性。使用这两个 GO，这种用于层压板的“基于通用 GO”（gGO）的解决方案可以检索有效刚度和柔度模量的整个张量，其项经验证与 CBC 中的项相同 - 因此均质化 - 解决方案。