A new substitution approach is proposed for decoupled two-scale analysis of a materially nonlinear composite plate with in-plane periodic meso-structures within the framework of computational homogenization. The macroscopic nonlinear mechanical behavior of the plate is characterized by numerical plate tests on an in-plane unit structure (IPUS), which enables us to obtain the relationship between macroscopic resultant stresses and generalized strains. Then, we postulate that the original composite plate can be substituted by an equivalent laminated plate that exhibits approximately the same macroscopic response. The material parameters of each lamina of this substitute, which is referred to as mesoscopic substitution model (meso-SM), are identified using an optimization method so that it could be equivalent to the original IPUS. After the parameter identification, the corresponding macroscopic substitution model (macro-SM) can be analyzed with appropriate analysis software that supports laminated plate elements. Representative numerical examples are presented to validate the appropriateness of the proposed approach by performing comparative calculations with the results obtained from the original composite plates.

提出了一种新的替代方法，用于在计算均匀化框架内对具有面内周期性细观结构的材料非线性复合板进行解耦两尺度分析。板的宏观非线性力学行为通过平面单元结构（IPUS）上的数值板试验表征，这使我们能够获得宏观合成应力与广义应变之间的关系。然后，我们假设原始复合板可以被等效的层压板代替，该板表现出大致相同的宏观响应。这种替代品的每个薄片的材料参数，称为介观替代模型(meso-SM)，使用优化方法进行识别，使其与原始 IPUS 等效。参数识别后，相应的宏观替代模型（macro-SM）可以用支持层压板单元的适当分析软件进行分析。通过与从原始复合板获得的结果进行比较计算，给出了代表性的数值例子来验证所提出方法的适用性。