Locking-Free Degenerated Isoparametric Shell Element
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摘要: 构造了一个无锁定的8节点退化的等参壳元。在自然坐标系中,对横向剪应变项插值修正使单元满足必要的模式(平移、转动和纯弯曲)以消除"剪切锁定";在局部坐标系中,对薄膜应变插值修正以消除"薄膜锁定"。这样构造的8节点单元的刚度矩阵具有正确的秩,同时具有恰当的零特征值和相应的刚体位移模式。这种单元对大跨-厚比情形既无"剪切锁定"又无"薄膜锁定",无虚假的零能模式和机构出现,可用于厚壳和薄壳。Abstract: An 8-noded locking-free degenerated isoparametric shell element is presented.A revised interpolation for shear strain terms was constructed in natural co-ordinate system such that all necessary modes (translation,rotation and constant curvature) are preserved,which can be used to eliminate shear locking.A revised interpolation for membrane strains was produced in the local Cartesian co-ordinate system to overcome membrane locking behavior.The new 8-noded element has the proper rank,with the requisite number of zero eigenvalues each associated with a rigid mode.The element does not exhibit membrane or shear locking for large span-thickness ratio.The element does not form element mechanisms or extra spurious zero energy modes.Therefore,it can be used for both thin and thick shells.
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