摘要
该文将各向同性修正偶应力理论推广到各向异性,提出各向异性的细观尺度的复合材料层合板的本构方程,基于虚功原理建立了各向异性修正偶应力理论并用于建立复合材料层合薄板偶应力理论稳定性模型。该理论的偶应力部分的转角不是独立变量(称为C1理论),对于各单层引入纤维和基体材料的不同的两个材料细观参数,建立了适用于层合板/夹层板的偶应力理论模型。该理论的应变不对称,但是,用于各向同性材料与修正偶应力理论等价。为了便于工程应用,忽略基体材料的细观长度参数,建立了各单层只含一个材料细观参数的偶应力层合薄板理论稳定性模型。算例表明建立的偶应力层合板模型能用于分析层合板稳定性的尺度效应。
The modified couple stress theory （C1 theory） in the isotropic elasticity is extended to anisotropic composite laminated plate. Based on virtual principle, a new model is established for a single layer of composite laminated thin plate involving two material characteristic length constants. In the theory the form of new curvature tensor is asymmetric, however it can result in the same symmetric curvature tensor as in the isotropic elasticity. More simplified model for cross-ply composite laminated thin plate involving one material length constant is applied to the buckling analysis. Numerical results show that the present plate model can capture the scale effects of buckling analysis in microstructures.
出处
《工程力学》
EI
CSCD
北大核心
2013年第5期1-7,共7页
Engineering Mechanics
关键词
修正偶应力理论
各向异性本构关系
稳定性
尺度效应
层合薄板
modified couple stress theory
anisotropic constitute relations
buckling
scale effects
compositelaminated thin plate
