新修正偶应力理论Reddy型层合板稳定分析  

Stability analysis of composite laminated Reddy plate based on new modified couple-stress theory

作　　者：陈万吉[1] 薛继伟[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》2017年第2期162-167,共6页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(11572204;11402152;11572081)资助项目

摘　　要：基于新修正偶应力理论建立了一个Reddy型复合材料层合板稳定性模型。该理论中曲率张量不对称,而偶应力矩张量对称。Reddy型层合板模型能够满足横向剪切应力为0的自由表面条件,而且横向剪切为二次函数,避免了常剪力一阶理论需要引入的剪力修正系数。为了便于工程应用,通过虚功原理推导了只含纤维材料尺度参数正交铺设的Reddy型层合板偶应力模型的稳定性方程,并以微尺度正交铺设四边简支层合方板为例,分析了不同铺设角和轴向载荷作用时临界载荷的细观尺度效应,并且与一阶剪切变形和Kirchhoff板理论结果对比。结果表明,本文建立的新修正偶应力Reddy型层合板模型更适合分析较厚的复合材料层合板稳定性的尺度效应。In this paper, a model of composite laminated Reddy plate is established based on the new modified couple stress theory which contains asymmetric curvature tensor and symmetry couple stress tensor for stability analysis. The model of composite laminated Reddy plate can satisfy the free surface condition. At the same time, the transverse shear stress shows a quadratic parabola distribution without the correction factor which introduced in First-Order Shear Deformation Theory. For the convenience of engineering application, the stability equation of cross-ply composite laminated Reddy plate which merely involves the material length scale parameter of fiber derived by means of the virtual work principle. Moreover, a simply supported cross-ply composited laminated simple square plate is used to analyse the scale effect with different angle-plies and axial loads and the results are compared with the results from Mindlin and Kirchhoff plate theories. Numerical results show that the present model is more appropriate for capturing scale effects in the stability analysis of thicker composite laminated plate.

关 键 词：新修正偶应力理论 Reddy层合板 材料尺度参数 尺度效应 稳定性分析 

分 类 号：O317[理学—一般力学与力学基础]