Abstract
In this paper, we propose a new and efficient warping displacement model to ensure the continuity of warping in beams with discontinuously varying arbitrary cross-sections. We briefly review the formulation of the continuum mechanics based beam finite elements allowing warping displacements. We then propose three basis warping functions: one free warping function and two interface warping functions. The entire warping displacement field is constructed by a combination of the three basis warping functions with warping degrees of freedom (DOFs). We also propose a new method to simultaneously calculate the free warping function and the corresponding twisting center. Based on this method, the interface warping functions and the twisting centers at the interface cross-sections are obtained by solving a set of coupled equations at the interface of two different cross-sections. Several beam problems with discontinuously varying cross-sections are numerically solved. The effectiveness of the proposed model is demonstrated by comparing the numerical results with those obtained by refined solid and shell finite element models.
Original language | English |
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Pages (from-to) | 56-69 |
Number of pages | 14 |
Journal | Computers and Structures |
Volume | 131 |
DOIs | |
Publication status | Published - 2014 |
Bibliographical note
Funding Information:This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT and Future Planning (No. 2011-0014387 ).
All Science Journal Classification (ASJC) codes
- Civil and Structural Engineering
- Modelling and Simulation
- Materials Science(all)
- Mechanical Engineering
- Computer Science Applications