A numerical model for nonlinear large deformation dynamic analysis of unsaturated porous media including hydraulic hysteresis |
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| Affiliation: | 1. College of Civil Engineering and Architecture, Wuhan Polytechnic University, Wuhan 430023, PR China;2. Department of Civil and Environmental Engineering, University of Alaska Fairbanks, Fairbanks, AK 99775, USA;3. Department of Geotechnical Engineering and Geosciences, Building D2, Technical University of Catalunya, Jordi Girona 1-3, 08034 Barcelona, Spain;4. DICII Dipartimento di Ingegneria Civile e Ingegneria Informatica, Università di Roma Tor Vergata, 00133 Roma, Italy;1. Institute of Geotechnical Engineering and Construction Management, Hamburg University of Technology (TUHH), Hamburg, Germany;2. Department of Civil and Environmental Engineering, Shiraz University, Shiraz, Iran;3. Department of Earth Sciences, Utrecht University, Utrecht, Netherlands;1. School of Civil and Environmental Engineering, The University of New South Wales, Sydney 2052, Australia;2. Department of Civil and Resource Engineering, Dalhousie University, Halifax, NS, Canada;1. School of Civil Engineering, Central South University, Changsha 410075, Hunan, China;2. College of Architecture and Civil Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China |
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| Abstract: | A numerical model based on the theory of mixtures is proposed for the nonlinear dynamic analysis of flow and deformation in unsaturated porous media. Starting from the conservation laws, the governing differential equations and the finite element incremental approximations suitable for nonlinear large deformation static and dynamic analyses are derived within the updated Lagrangian framework. The coupling between solid and fluid phases is enforced according to the effective stress principle taking suction dependency of the effective stress parameter into account. The effect of hydraulic hysteresis on the effective stress parameter and soil water characteristic curve is also taken into account. The application of the approach is demonstrated through numerical analyses of several fundamental nonlinear problems and the results are compared to the relevant analytical solutions. The effects of suction, large deformations and hydraulic hysteresis on static and dynamic response of unsaturated soils are particularly emphasized. |
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| Keywords: | Unsaturated porous media Dynamic Large deformations Effective stress Hydraulic hysteresis |
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