Structural Engineering and Mechanics

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A refined finite element for first-order plate and shell analysis

  • Han, Sung-Cheon (Department of Civil and Railroad Engineering, Daewon University College) ;
  • Kanok-Nukulchai, Worsak (School of Engineering and Technology, Asian Institute of Technology) ;
  • Lee, Won-Hong (Department of Civil Engineering, Gyeongnam National University of Science and Technology)
  • Received : 2010.04.12
  • Accepted : 2011.08.17
  • Published : 2011.10.25
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Abstract

This paper presents an improved 8-node shell element for the analysis of plates and shells. The finite element, based on a refined first-order shear deformation theory, is further improved by the combined use of assumed natural strain method. We analyze the influence of the shell element with the different patterns of sampling points for interpolating different components of strains. Using the assumed natural strain method with proper interpolation functions, the present shell element generates neither membrane nor shear locking behavior even when full integration is used in the formulation. Further, a refined first-order shear deformation theory, which results in parabolic through-thickness distribution of the transverse shear strains from the formulation based on the third-order shear deformation theory, is proposed. This formulation eliminates the need for shear correction factors in the first-order theory. Numerical examples demonstrate that the present element perform better in comparison with other shell elements.

Keywords

Acknowledgement

Supported by : Korea Research Foundation

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