非协调实体退化厚/薄板单元  

THIN AND THICK PLATE BENDING ELEMENT BASED ON INCOMPATIBLE METHODS AND DEGENERATED SOLID CONCEPT

作　　者：许德胜[1] 肖汝诚[1] 王燕[1] 凌道盛[2] 

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,浙江杭州310027

出　　处：《工程力学》2008年第8期64-69,共6页Engineering Mechanics

摘　　要：在八节点三维实体等参元基础上,将板理论基本假定引入弹性应力-应变矩阵,并为局部坐标系下的挠度位移分量附加非协调位移项,构造了非协调实体退化板单元。板假定的引入用以克服单元厚度泊松自锁,非协调项的引入可缓解单元剪切自锁。通过修正常应变矩阵,确保单元通过分片检验。分域积分方法的采用,使单元可用于层合板结构分析。算例表明:单元对等厚度的厚/薄板均适用。A plate bending element is derived from the familiar 8-node brick element. To overcome the thickness locking of the element, the degenerated solid approach is adopted by modifying the elastic constitutive relation. A user-detined local coordinate system is established to conveniently introduce the incompatible modes, which are effective to rectify the shear locking. To pass the patch test, the constant strain matrix is moditied. The element is suitable for laminated structures by calculating the element stiffness matrix over the subdomains. Numerical examples show the applicability and effectivity of the element formulation.

关 键 词：有限元 实体退化板单元 非协调元 层合板 分片检验 

分 类 号：O241.82[理学—计算数学]