基于杂交应力有限元法的壳体结构几何非线性分析

Geometrically Nonlinear Analysis of Shell StructuresBased on Hybrid Stress Finite Element Model

基于计及横剪效应的非线性弹性壳理论，建立了Ｒｅｌｓｓｎｅｒ型的增量ＴｏｔａｌＬａｇｒａｎｇ变分泛函，由此建立了杂交应力有限元列式。数值分析表明，该列式在壳体的几何非线性和后屈曲分析中都有较好的收敛性和计算精度。

Basing on the nonlinear elastic theory of shells including shear effects,aReissner-type incremental TL functional is derived. On such basis,aformulation of hybrid stress finite element for seometrically nonlinearshell is developed.The formulation exhibits favorably remarkableconvergence and accuracy via numerical examination of geometricallynonlinear and post-puckling problenis.