On the derivation of an asymptotically correct shear correction factor for the Reissner-Mindlin plate model |
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| Institution: | 1. College of Urban and Rural Construction, Zhongkai University of Agriculture and Engineering, Guangzhou, 510225, China;2. College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou, 310023, China;3. School of Engineering, RMIT University, PO Box 71, Bundoora, VIC 3083, Australia;4. Wind and Vibration Engineering Research Center, Guangzhou University, Guangzhou, 510006, China;1. Department of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran;2. School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA;3. Universal Scientific Education and Research Network (USERN), Rasht, Iran;1. Department Civil Engineering, Faculty of Engineering, KTO Karatay University, Konya 42020, Turkey;2. Department of Civil Engineering, Faculty of Engineering and Architecture, Necmettin Erbakan University, Konya 42090, Turkey |
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| Abstract: | In the framework of thin linear elastic plates it is known that the solutions of both the three-dimensional problem and the Reissner-Mindlin plate model can be developed into asymptotic expansions. By comparing the particular asymptotic expansions with respect to the half-thickness ? of the plate in the case of periodic boundary conditions on the lateral side, the shear correction factor in the Reissner-Mindlin plate model can be determined in such a way that this model approximates the three-dimensional solution with one order of the plate thickness better than the classical Kirchhoff model. This fails for hard clamped lateral boundary conditions so that the Reissner-Mindlin model is in this case asymptotically as good as the Kirchhoff model. |
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