基于新修正偶应力理论的Mindlin层合板稳定性分析  

Buckling analysis of composite laminated Mindlin plate based on new modified couple stress theory

作　　者：陈万吉[1] 牛惠[1] 

机构地区：[1]沈阳航空航天大学辽宁省飞行器复合材料结构分析与仿真重点实验室,沈阳110136

出　　处：《计算力学学报》2016年第5期717-724,共8页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(11471066;11572204)资助项目

摘　　要：基于新的各向异性修正偶应力理论提出一个Mindlin复合材料层合板稳定性模型。该理论包含纤维和基体两个不同的材料长度尺度参数。不同于忽略横向剪切应力的修正偶应力Kirchhoff薄板理论,Mindlin层合板考虑横向剪切变形引入两个转角变量。进一步建立了只含一个材料细观参数的偶应力Mindlin层合板工程理论的稳定性模型。计算了正交铺设简支方板Mindlin层合板的临界载荷。计算结果表明该模型可以用于分析细观尺度层合板稳定性的尺寸效应。A model of composite laminated Mindlin plate of buckling analysis based on new modified couple stress theory is presented.The theory involving two material length scale parameters,one related to fiber and the other related to matrix.Based on modified couple stress theory,the Mindlin laminated plates is different from composite laminated Kirchhoff plate,considering the transverse shear deformation,and involving two angle of rotation variables.A simplified model for cross-ply composited laminated Mindlin plate including only one material length scale parameter is applied to the buckling analysis.Calculating the critical load of cross-ply laminated Mindlin plate with simply supported boundary.Numerical results show that the scale effects of buckling analysis in microstructures are captured by present model.

关 键 词：各向异性修正偶应力理论 Mindlin层合板 各向异性本构方程 稳定性 尺寸效应 

分 类 号：O343.8[理学—固体力学]