Fractional non-axisymmetric consolidation of stratified cross-anisotropic visco-poroelastic media |
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| Institution: | 1. Department of Geotechnical Engineering, Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, College of Civil Engineering, Tongji University, 1239 Siping Road, Shanghai 200092, PR China;1. Faculty of Civil Engineering, HCMC University of Technology and Education, Vietnam;2. Institute of Theoretical and Applied Research, Duy Tan University, Hanoi 100000, Vietnam;3. Faculty of Civil Engineering, Duy Tan University, Danang 550000, Vietnam;4. Graduate University of Science and Technology, VAST, Vietnam;5. Faculty of Mathematics, Mechanics and Informatics, Hanoi University of Science, Vietnam;6. School of Mechanical Engineering, Changwon National University, South Korea;7. Department of Civil and Environmental Engineering, Tokyo Institute of Technology, Japan;1. School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, P.R. China;2. State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi''an Jiaotong University, Xi''an 710049, Shaanxi, P.R. China;3. School of Science, Lanzhou University of Technology, Lanzhou 730050, Gansu, P.R. China;1. School of Civil and Transportation Engineering, Hebei University of Technology, 5340 Xiping Road, Beichen District, Tianjin 300401, China;2. Department of Applied Mechanics, University of Science and Technology Beijing, 30 Xueyuan Road, Haidian District, Beijing 100083, China;1. Wuyi University, Department of Mathematics and Computer, Fujian 354300, China;2. School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China;3. College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang 330063, China;4. Changzhou Institute of Technology, Changzhou 213032, China;1. School of Landscape Architecture, Zhejiang A&F University, Hangzhou 311300, China;2. Department of Civil Engineering, University of Akron, Akron, OH44325, United States |
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| Abstract: | This paper investigates the fractional non-axisymmetric consolidation of stratified cross-anisotropic visco-poroelastic media. Firstly, based on the Laplace–Hankel transform, the ordinary differential equations of cross-anisotropic poroelastic media are derived, which are extended to those of fractional visco-poroelastic media by introducing the fractional Merchant model and the elastic-viscoelastic correspondence principle. Then, the extended equations are solved by the extended precise integration method (PIM), and the proposed theory is compared with the results reported in the references. Finally, selected numerical examples are performed to investigate the effects of the order of fractional derivative, viscoelasticity, cross-anisotropy and stratification on the non-axisymmetric consolidation. |
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