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The effect of additional equilibrium stress functions on the three-node hybrid-mixed curved beam element

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Abstract

To develop an effective hybrid-mixed element, it is extremely critical as to how to assume the stress field. This research article demonstrates the effect of additional equilibrium stress functions to enhance the numerical performance of the locking-free three-node hybrid-mixed curved beam element, proposed in Saleeb and Chang’s previous work. It is exceedingly complicated or even infeasible to determine the stress functions to satisfy fully both the equilibrium conditions and suppression of kinematic deformation modes in the three-node hybrid-mixed formulation. Accordingly, the additional stress functions to satisfy partially or fully equilibrium conditions are incorporated in this study. Several numerical examples for static and dynamic problems confirm that the newly proposed element with these additional stress functions is highly effective regardless of the slenderness ratio and curvature of arches in static and dynamic analyses.

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Authors and Affiliations

  1. School of Mechanical and Automotive Engineering, Catholic University of Daegu, Hayang-Eup, Gyeongsan-si, Gyeongbuk, 712-702, Korea

    Jin-Gon Kim & Yong Kuk Park

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  1. Jin-Gon Kim
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  2. Yong Kuk Park
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Correspondence to Jin-Gon Kim.

Additional information

This paper was recommended for publication in revised form by Associate Editor Maenghyo Cho

Jin-Gon Kim graduated from the Seoul National University in 1991, majoring in Mechanical Engineering. He received Master’s degree and Ph.D. degree in Mechanical Engineering at the Seoul National University in 1993 and 1998, respectively. He has worked for Samsung Electronics for three years from March 1998 to February 2001, and is currently in the School of Mechanical and Automotive Engineering at Catholic University of Daegu. Main research interests include structural/impact anlyses, advanced finite element method and CAE.

Yong Kuk Park graduated from the Seoul National University in 1987, majoring in Metallurgical Engineering. He received Master’s degree in Industrial and Systems Engineering at the University of Michigan in 1988, and Ph.D. degree in Manufacturing Engineering at the Ohio State University in 1995. He has worked for Samsung Motor Co., and is currently in the School of Mechanical and Automotive Engineering at Catholic University of Daegu, teaching Manufacturing Design, Statistical Quality Control, Casting and Plasticity, Forging and Press Forming, Advanced Studies in Plasticity. Main research interests include advanced mechanical design, manufacturing processes, design of manufacturing systems and statistical process control.

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Kim, JG., Park, Y.K. The effect of additional equilibrium stress functions on the three-node hybrid-mixed curved beam element. J Mech Sci Technol 22, 2030–2037 (2008). https://doi.org/10.1007/s12206-008-0752-7

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  • DOI: https://doi.org/10.1007/s12206-008-0752-7

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