A coupling cross-section finite element model for torsion analysis of prismatic bars |
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| Institution: | 1. School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, 066004, China;2. Department of Mechanical Engineering and Manufacturing Engineering, Nottingham Trent University, Nottingham NG1 4BU, UK;1. College of Civil Engineering and Architecture, Guangxi University, Nanning 530004, China;2. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Rome 00197, Italy;1. College of Civil Engineering, Tongji University, Shanghai, China;2. Key Laboratory of Performance and Control for Engineering Structures (Tongji University), Ministry of Education of P.R.C., China;1. Génie civil, Université de Sherbrooke, Sherbrooke, QC, Canada J1K2R1;2. Génie mécanique, Université de Sherbrooke, Sherbrooke, QC, Canada J1K2R1 |
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| Abstract: | A general finite element model has been developed for the analysis of prismatic bars subject to torsional loading by modelling only a small slice of the bar. Exact analytical coupling deformation relationships between the artificial cross-sections, which are independent of the position of axis of rotation, have been formulated. Three examples from the range of analyses that have been evaluated have been selected to demonstrate the accuracy and effectiveness of the method. Analyses for an orthotropic elastic square cross-section bar, an elastic–plastic circular cross-section shaft containing a radial crack, and geometrically nonlinear deformation of a thin-walled I-section beam are presented and compared with previous results, where available. |
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