As a new type composite material, fiber metal laminates (FMLs) have been widely applied in the aerospace field. To further develop and apply this new composite material, a stress prediction method for the metal layer in the laminates was examined. Based on the laminate theory, the stress characteristic of each layer material was analyzed under an external load. By studying the classical laminate theory, it was found that the calculation method of the global stiffness matrix fails to satisfy the actual situation of the laminates. The concept of the equivalent stiffness matrix was therefore introduced to modify the solution of stiffness matrix and accurately predict the metal layer stress. The equivalent stiffness matrix was then obtained using the sub-laminate stiffness theory and the energy method. The sub-laminate stiffness method was improved to apply to the orthotropic FMLs, and the energy method was expanded to apply to FMLs from a three-dimensional perspective. Taking 2/1 and 3/2 laminates of FMLs as examples, the metal layer stress was determined using the optical strain method and was predicted by employing the classical laminate theory along with the two correction methods. The effectiveness and advancement of the modified model were confirmed by comparative analysis.

作为新型复合材料，纤维金属层压板（FML）已广泛应用于航空航天领域。为了进一步开发和应用这种新的复合材料，研究了层压板中金属层的应力预测方法。根据层压理论，分析了在外部载荷下各层材料的应力特性。通过研究经典的层压板理论，发现整体刚度矩阵的计算方法不能满足层压板的实际情况。因此引入了等效刚度矩阵的概念，以修改刚度矩阵的解并准确预测金属层应力。然后使用次层压刚度理论和能量方法获得等效刚度矩阵。从三维角度出发，改进了亚层板刚度法以适用于正交各向异性FML，并且将能量法扩展为适用于FML。以FML的2/1和3/2层压板为例，使用光学应变法确定金属层应力，并通过经典的层压板理论和两种校正方法进行预测。对比分析证实了改进模型的有效性和先进性。