含分层复合材料层合梁弯曲问题的一般解法  

Analytical Method on Bending of Composite Laminated Beams With Delaminations

作　　者：韩海涛[1] 张铮[1] 卢子兴[1] 

机构地区：[1]北京航空航天大学航空科学与工程学院,北京100191

出　　处：《应用数学和力学》2010年第7期843-852,共10页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(重点)资助项目(10932001);凡舟基金资助项目(20070501);教育部留学回国人员科研启动基金资助项目

摘　　要：基于一阶剪切梁理论,考虑分层边缘区域的变形特点,提出了含穿透分层复合材料梁模型.与传统分层模型不同,该文将未分层部分看作上下子梁,放弃了传统模型中分层前缘横截面始终保持平面的假设.通过分层前缘的位移连续条件和内力连续条件,建立了粘合段和分层段的控制方程.并且,应用该模型对不同边界条件下含不同分层尺寸对称和非对称分层的复合材料层合梁弯曲问题进行了求解,结果与三维有限元计算的结果一致,从而证明了模型的有效性和适用性.Based on the first-order shear deformable beam theory,a refined model for composite beams containing a through-the-width delamination was presented,and the deformation at the delamination front was considered.Different from the ordinary delaminated beam theory,each of the perfectly bonded portions of the new model was constructed as two separated beams along the interface,and the plane section assumption at the delamination front was released.The governing equations of the delaminated portions and bonded ones were established,combined with continuity conditions of displacements and internal forces.The solutions of delaminated composite beams with different boundary conditions,delamination locations and sizes were shown in excellent agreement with the finite element results,which demonstrate the efficiency and applicability of the present model.

关 键 词：复合材料 层合梁 分层 剪切理论 

分 类 号：TB322[一般工业技术—材料科学与工程]