摘要
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.
In this paper, a Parametric Variational Principle (PVP) for laminated composites with discontinuous stress-strain relation is established. The discontinuity is due to premature failures of plies in which the stress states satisfy some failure criterions. The minimization of suggested energy functional is converted to a quasi-quadratic programming problem. A computational algorithm is proposed to solve the programming problem. The failure analysis of laminated composites can be done within one loading step by the PVP. However, the traditional way needs many steps as well as empirical choice of step length.
出处
《应用力学学报》
CAS
CSCD
北大核心
1989年第3期1-10,133,共10页
Chinese Journal of Applied Mechanics
关键词
复合材料
层压板
失效分析
纤维增强
oomposite lamimaces
fuilure analysis
parametric variational principle
