【摘要】 本文提出了一个推广的USE单元族(Extensional Universal SerendipityElements 简称为 EUSE)。此单元族不仅能产生具有任意边节点构形(从1次到3次)的2节点到32节点的S族等参元,而且能形成连结三维块元与壳元、三维轴对称块元与轴对称旋转壳元的一系列过渡元。文中给出了它的形状函数及其导数以三个一维基函数表示的一般表达式。此单元族是一个较系统的、完整的、易于编制程序的单元库中的理想单元族。更多还原

【Abstract】 In this paper Extensional Universal Serendipity Elements(EUSE)are descibed.EUSE can generate not only isoparametric serendipity elements with 2 to 32 nodes whichhave arbitrary edge node-configarations but also transition elements connecting three-dimensional solid elements with shell elements or three-dimensional axisymmetric solidelements with axisymmetric shell elements.Expressions for EUSE shape functions andtheir derivatives are also given in terms of three one-dimensional basic shape functionsand their derivatives.EUSE can be considered to be comparatively systematic,complete andeasy to programme.It is an ideal element family for the element library.更多还原