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Structural Engineering and Mechanics Volume 40, Number 2, October25 2011 , pages 191-213 DOI: https://doi.org/10.12989/sem.2011.40.2.191 |
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A refined finite element for first-order plate and shell analysis |
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Sung-Cheon Han, Worsak Kanok-Nukulchai and Won-Hong Lee
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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. | ||
| Key Words | ||
| enhanced membrane and shear interpolation; locking behavior; full integration; refined firstorder shear deformation theory; plates and shells | ||
| Address | ||
| Sung-Cheon Han: Department of Civil and Railroad Engineering, Daewon University College, Jecheon 390-702, Korea Worsak Kanok-Nukulchai: 2School of Engineering and Technology, Asian Institute of Technology, Klongluang, Pathumthani, 12120, Thailand Won-Hong Lee: Department of Civil Engineering, Gyeongnam National University of Science and Technology, Jinju 660-758, Korea | ||