复合材料层合板的杂交有限元方法

Hybrid finite element method for laminated composite plate

结合复合材料修正后的H-R混合变分原理,直接借助应力-应变关系,推导了新的应力模式,建立了复合材料层合板的杂交等参有限元列式。利用Mathematica语言编程进行数值实例分析,其计算结果与相关文献的精确解以及Abaqus软件建模分析结果对比,实例证明该方法所得到的各个静力学量更接近精确解,并且可用较少的网格划分得到较精确的解。

In this paper based on modified H-R mixed variational principle for composite materials, with the stress- strain relations directly, derivation of a new mode of stress, the hybrid and isoparametric finite element formulation for the laminated composite plate was established. Then the Mathematica was applied for the programming and calculating of a numerical example. Compared with the modeling analysis result using Abaqus software and the exact solution provided in relevant literatures concerning some mechanical quantities, the result obtained in this way is proved to be closer to their exact solutions and satisfactory precision can be obtained with less mesh.