三维退化的壳理论和假定应变的壳单元

THREE DIMENSIONAL DEGDNERATED SHELLTHEORY AND ASSUMED STRAIN SHELL ELEMENTS

本文将Reissner-Mindlin板理论推广到空间曲壳结构,可称为Reissner-Mindlin型壳理论。从这种理论出发,可直接导出C(0)连续的壳体单元,即考虑横向剪切变型的影向的壳体单元,这种单元在国外已被广泛地采用,为克服这种单元在应用中所出现的剪切和膜的锁制现象同时又防止出现任何零能模式,作者提出了一种采用假定应变的新的壳单元公式,并对这种单元进行了广泛的数值试验,结果表明这种单元具有较高的精度和良好的性能。

In this paper Reissner-Mindlin plate theory is extended to cater for curved shell structures. It can be considered as Reissner-Mindlin type shell theory. From this theory, the C(o) continuity formulation of shell elememts, which introduce the transverse shear deformation, could be derived directly. These degenerated shell elements have been widlely employed. To overcome shear and membrane locking and avcid zero energy modes the auther proposed the formulation of the new elements woth assumed strains. A wide range of numerocal tests was cenducted and the reults ollustrate that the new element possess high accuracy and good performance.