含弱粘结界面复合材料层合板的半解析法  

Semi-Analytical Solution for Composite Laminates with Interfacial Imperfection

作　　者：卿光辉[1] 陈杰[1] 

机构地区：[1]中国民航大学航空工程学院,天津300300

出　　处：《中国民航大学学报》2010年第3期33-36,64,共5页Journal of Civil Aviation University of China

基　　金：天津市自然科学基金项目(07JCYBJC02100)

摘　　要：采用线性弹簧模型表征界面弱粘结特性,并运用了Hamilton正则方程的半解析方法处理界面弱粘结对复合材料层合板弯曲问题的影响。首先简要地介绍了弹性材料修正后的H-R变分原理和Hamilton元,然后着重推导了弱粘结界面的线弹簧模型的平面元素列式及正则方程的半解析法的控制方程。最后根据界面传递关系建立了弱粘结层合板的控制方程。数值实例结果证明了本文方法的正确性。A linear spring-layer model is adopted to describe the interracial imperfection and the semi-analytical solution of Hamilton canonical equation is used for the first time to analyze the effect of interfacial imperfection on the bending behavior of composite laminates. Firstly, modified H-R variational principle and Hamilton element for the elastic material is presented simply, and then the planar elemental formulation of the linear spring-layer model and the semi-analytic control equation for the Hamilton canonical equation are deduced in particular. Finally, based on interfacial transfer relation, the control equation of composite laminates with interfacial imperfection is established. The results of a numerical example show the correctness of the method proposed in this paper.

关 键 词：HAMILTON正则方程 界面弱粘结 线弹簧模型 半解析法 

分 类 号：O343.8[理学—固体力学]