强厚度叠层板的一种高阶单元  

A Higher Order Facet Element for Thick Laminated Composite Plates

作　　者：武兰河[1] 赵永茂[1] 

机构地区：[1]石家庄铁道学院,石家庄050043

出　　处：《应用力学学报》2001年第3期41-46,共6页Chinese Journal of Applied Mechanics

摘　　要：提出一种新的八节点平板元用于分析复合材料叠层厚板的静力问题 ,板的位移场在板面内采用抛物线型插值 ,而在板厚方向采用Maclaurin级数展开 ,使得厚度方向的插值为任意阶多项式 ,相当于厚板中的高阶理论 ,取不同的级数项数 ,可得到不同精度的解。该单元满足C0 连续条件 ,不需增加新的网格 ,也不需增加新的输入数据 ,只要增加多项式级数的项数 ,便可得到较高精度的解。文中研究了算法的收敛性及计算精度 。A rather new facet element formulation for linear static analysis of thick lamin ated composite plates is presented. The parabolic displacement approximation in the plane of the element is used. But in the thickness direction, an arbitrary o rder polynomial, which is like the arbitrary higher order theory formulation is used. Expanding the displacement to Maclaurin series in the direction of the pla te thickness is accomplished. The element properties are derived by virtual work principle. The element formulation ensures C0 continuity or smoothness of dis placement across the internal element boundaries, and permits any desired order displacement interpolation without repeatedly modelling. Numerical examples are presented to demonstrate the convergency and accuracy of the method. The results obtained from the present paper are compared with those available in the existi ng literature if posible.

关 键 词：复合材料厚板元 平板元 高阶平板元 有限元法 

分 类 号：TB33[一般工业技术—材料科学与工程] O343.1[理学—固体力学]