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用基于Mindlin板理论的有限元方法进行了带脱层损伤复合材料层板的屈曲载荷分析．为了处理在屈曲模态中上下脱层之间的接触问题，我们提出了一种有效的算法．在这种算法中，首先用一阶灵敏度分析和二次规划方法相结合的选代算法算出接触区域的虚拟力，然后将这种虚拟力转化成一些假想弹簧的刚度系数，并对原始刚度矩阵进行修正．数值算例表明本算法可以有效地克服屈曲模态中上下脱层之间的相互贯穿．同时，还对脱层的大小，形状和位置对屈曲载荷的影响进行了研究．
Buckling load analysis of delaminated composite laminates with finite element method based on Mindlin plate theory. To deal with the problem of contact between upper and lower delaminations in buckling modes, we propose an efficient algorithm. In this algorithm, the virtual force of the contact area is calculated by the first-order sensitivity analysis and the combination of the quadratic programming method, and then the virtual force is transformed into the stiffness coefficient of some imaginary springs. The original stiffness matrix Correct. Numerical examples show that this algorithm can effectively overcome the mutual penetration of upper and lower delaminations in buckling modes. At the same time, the influence of the size, shape and position of delamination on the buckling load was also studied.