Static assessment of quadratic hybrid plane stress element using non-conforming displacement modes and modified shape functions

Kyoung-Sik Chun , Samuel Kinde Kassegne , Won-Tae Park

Abstract

In this paper, we present a quadratic element model based on non-conforming displacement modes and modified shape functions. This new and refined 8-node hybrid stress plane element consists of two additional non-conforming modes that are added to the translational degree of freedom to improve the behavior of a membrane component. Further, the modification of the shape functions through quadraticpolynomials in x-y coordinates enables retaining reasonable accuracy even when the element becomes considerably distorted. To establish its accuracy and efficiency, the element is compared with existingelements and - over a wide range of mesh distortions . it is demonstrated to be exceptionally accurate in predicting displacements and stresses.

Key Words

hybrid element; assumed stress; 8-node plane stress element; modified shape function; non-conforming displacement modes.

Address

Kyoung-Sik Chun — Structural Division, BAU CONSULTANT Co., Ltd., 968-5 Daechi-dong, Gangnam-gu, Seoul 135-736, KoreaSamuel Kinde Kassegne: Dept. of Mechanical Engineering, San Diego State University, 5500 Campanile Dr., San Diego, CA 92182, United StatesWon-Tae Park: Division of Construction and Environmental Engineering, Kongju National University, 275 Budae-dong, Cheonan-si, Chungnam 330-717, Korea

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