摘要
基于一阶剪切变形理论(FSDT),本文构造一种新型的20自由度(每结点5个自由度),四边形复合材料层合板单元,适合于任意铺设情形的层合板的计算。它是按如下方式构造的:(1) 单元每边的转角和剪应变由Timoshenko层合厚梁理论来确定;(2) 对单元域内的转角场和剪应变场进行合理的插值;(3) 引入平面内双线性位移场来体现层合板面内与弯曲的耦合作用。本文单元,记为TMQ20,不存在剪切闭锁现象,在计算单层的各向同性板时可以退化为文[1]中优质的中厚板单元TMQ。在文[2]中将给出本文单元对于层合板问题的详细数值算例。
Based on the first-order shear deformation theory (FSDT) a simple displacement-based, 20 DOF (5 DOF per node) quadrilateral bending element for the analysis of arbitrary laminated composite plates is presented in this paper. It is constructed through the following procedures: (i) the tangential rotation and the shear strain along each element side are determined by Timoshenko laminated composite beam theory. (ii) the shear strain and rotation fields within the element are then determined by improved rational interpolation. (iii) a bilinear in-plane displacement field is introduced for the coupling of in-plane and bending actions. The new element, denoted by TMQ20, is free of shear locking. It degenerates into the high-performance Mindlin plate element TMQ when dealing with single layer isotropic plates. Numerical examples to verify the proposed element for analysis of laminated composite plates will be presented in another paper published in the next issue of this Journal.
出处
《工程力学》
EI
CSCD
北大核心
2002年第1期1-8,共8页
Engineering Mechanics
基金
清华大学基础研究基金项目(JC1999002)
国家自然科学基金(59878022)
中国博士后科学基金
