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Structural Engineering and Mechanics Volume 80, Number 5, December10 2021 , pages 625-643 DOI: https://doi.org/10.12989/sem.2021.80.5.625 |
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 open accessDirect calculation of interface warping functions for considering longitudinal discontinuities in beams |
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Dong-Hwa Lee, Hyo-Jin Kim and Phill-Seung Lee
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| Abstract | ||
| In this paper, we present a new method to calculate interface warping functions for the analysis of beams with geometric and material discontinuities in the longitudinal direction. The classical Saint Venant torsion theory is extended to a three-dimensional domain by considering the longitudinal direction. The interface warping is calculated by considering both adjacent cross-sections of a given interface. We also propose a finite element procedure to simultaneously calculate the interface warping function and the corresponding twisting center. The calculated interface warping functions are employed in the continuum-mechanics based beam formulation to analyze arbitrary shape cross-section beams with longitudinal discontinuities. Compared to the previous work by Yoon and Lee (2014a), both geometric and material discontinuities are considered with fewer degrees of freedom and higher accuracy in beam finite element analysis. Through various numerical examples, the effectiveness of the proposed interface warping function is demonstrated. | ||
| Key Words | ||
| beams; continuum-mechanics based beam; finite element method; longitudinal discontinuity; torsion; warping | ||
| Address | ||
| Dong-Hwa Lee, Hyo-Jin Kim and Phill-Seung Lee: Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, 291 Daehak-ro, Yuseong-gu, Daejeon 34141, Republic of Korea | ||