三棱柱实体板单元

基于数值流形方法的思想，提出了6节点三棱柱流形元，通过选用合适的节点位移覆盖函数，各位移分量在单元内的插值阶次可以按需要选择，将母单元划分成若干区域，每个区域由同一种材料组成，空腔视为一种特殊材料，单元的刚度矩阵通过分域积分得到，改进后的流形单元适合层合和不规则形状结构的分析，在三维弹性问题的应力一应变关系的基础上引入Mindlin板的假定，得到了适用于板分析的退化三棱柱流形板单元，数值算例表明，单元具有计算精度高的特点，是一个厚薄板通用的单元。

Degenerated triangular prism plate element

This 6- node triangular prism manifold element (TPME) was based on numerical manifold method.In the element,the interpolation order of each displacement component can be selected as necessary by giving proper covering function of the node displacement.The parent element of TPME was divided into several regions,with each region having its own material;and the cavity in the element was treated as a special kind of material.The element stiffness matrix of the improved triangular prism manifold element(ITPME)was integrated region by region.The ITPME was suitable for laminated and irregular shaped structures.By introducing the assumption of Mindlin's plate into stress- strain relation of three- dimensional elastic problem,the ITPME can be applied to analyzing plate structures.The numerical results showed that the element can give high precision and is suitable for both thin and thick plates.