本文建立了关于具有逐层失效不连续本构关系的纤维增强复合材料层压板的参变量变分原理,所构造的受参变量控制的能量泛函的驻值问题可转化为一个拟二次规划问题.本文给出了一个求解此规则问题的有效算法.本文方法的优点在于避免了分析层压板强度的冗长迭代过程,可在一个加载步内求出对应各单层失效的一系列强度比值. This paper establishes the parametric variational principle of fiber-reinforced composite laminates with layer-by-layer failure discontinuity constitutive relations. The resident value problem of the energy function controlled by parametric variables can be transformed into a quasi-quadratic programming. Problem. This paper presents an effective algorithm for solving this rule problem. The advantage of this method is that it avoids the lengthy iterative process of analyzing the strength of the laminate. A series of intensity ratios corresponding to the failure of each single layer can be found in one loading step.