八节点非协调实体板单元  

Eight-node incompatible solid-plate element

作　　者：许德胜[1] 凌道盛[2] 王燕[1] 肖汝诚[1] 

机构地区：[1]同济大学土木工程学院,上海200092 [2]浙江大学建筑工程学院,杭州310027

出　　处：《计算力学学报》2009年第2期264-269,共6页Chinese Journal of Computational Mechanics

摘　　要：通过为三维实体等参元附加非协调位移模式,构造了能反映横向剪切变形影响的非协调实体板单元。单元采用完全的三维应力应变本构关系和实体几何描述,可给出板的三维应力状态。为确保不规则单元通过分片检验,推导了显式表达的非协调位移修正项。算例表明:单元无多余零能模式,对中厚板可给出满意的计算精度。A solid-plate finite element formulation, which takes account of the transverse shear deformation, is developed directly from the ordinary eight-node solid element. To avoid locking phenomena, we use the incompatible displacement methods. The formulation has only translational displacement degrees of freedom and the geometry in the thickness direction is correctly displayed. One important advantage of the element is the fact that a fully three-dimensional stress state can be modelled without any modification of the constitutive law. Additionally, the explicit treatment of incompatible shape functions satisfying patch test condition is given. Numerical results show that the element has no spurious zero energy modes and gives satisfactory precision for moderately thick plates.

关 键 词：实体板元 非协调元 分片检验 中厚板 

分 类 号：O343[理学—固体力学]