采用广义协调条件构造具有旋转自由度的四边形膜元
QUADRILATERAL MEMBRANE ELEMENT WITH VERTEX ROTATIONAL FREEDOM FROM GENERALIZED COMPATIBLE CONDITION
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摘要: 本文根据广义协调的概念1,通过引进单元结点刚体转角,提出两种具有平面内旋转自由度的四边形膜元。单元列式简单,是能通过任意四边形分片检验的收敛单元。数值计算表明这两种单元无论是位移还是应力都有很高的计算精度。Abstract: By introducing vertex rigid rotation as freedom, two new quadrilateral membrane elements are presented from the concept ofgeneralized conforming finite element. The elements, with simple formulation, pass the patch test for any geometry, therefore assure convergence to an exact solution. Numerical results demonstrate that very good accuracy is achieved for both displacement and stress.