新しい離散化手法による2次元Isoparametric要素

概要

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In this paper, a new two-dimensional isoparametric element, available to the finite element analysis of structures of more arbitrary shape and effective for saving the total number of freedom, is presented. The discretization method proposed in the authors' previous paper is employed to define the assumed displacement field and approximate the shape of the element, in which the nodal displacement parameters on 8 external nodes adjacent to the element as well as on its 4 vertex nodes are used as the displacement parameters of the element. The shape functions in the parent coordinates are given in the explicit expression, and the stiffness matrix of the element is derived by using the well-established procedure of coordinate transformation and numerical energy integration. In order to consider the convergence aspect, the continuity on inter-elements and the completeness of shape function are particularly examined. As numerical examples, three different structures in the state of plane stress are analyzed for investigating the accuracy and the convergency of the present isoparametric element.
社団法人日本建築学会の論文
1988-03-30