Coupled hydro-mechanical effects in a poro-hyperelastic material |
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| Institution: | 1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China;2. University of Chinese Academy of Science, Beijing 100049, China;3. Research Center of Geotechnical and Structural Engineering, Shandong University, Jinan 250100, China;1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China;2. School of Civil Engineering, Hefei University of Technology, Hefei 230009, China;3. School of Civil Engineering and Architecture, Nanchang University, Nanchang 330031, China;1. State Key Laboratory of Coal Resources and Safe Mining, China University of Mining & Technology at Beijing, Beijing 100083, China;2. Department of Engineering Mechanics, School of Aerospace, Tsinghua University, Beijing 100084, China;3. State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining & Technology, # 1 University Avenue, Xuzhou 221006, China;4. Aramco Research Center, Houston, TX 77084, USA;5. Earth Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA;1. University of Liege, Urban and Environmental Engineering / Geomechanics, 4000 Liege, Belgium;2. University of Newcastle, Priority Research Centre for Geotechnical and Materials Modeling, Callaghan, NSW 2308, Australia;3. F.R.I.A, Fonds de la Recherche Scientifique - FNRS, 1000 Brussels, Belgium;1. School of Civil Engineering, Dalian University of Technology, Dalian 116024, China;2. Earth Science Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, United States;3. National Cooperative for the Disposal of Radioactive Waste (NAGRA), Wettingen, Switzerland |
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| Abstract: | Fluid-saturated materials are encountered in several areas of engineering and biological applications. Geologic media saturated with water, oil and gas and biological materials such as bone saturated with synovial fluid, soft tissues containing blood and plasma and synthetic materials impregnated with energy absorbing fluids are some examples. In many instances such materials can be examined quite successfully by appeal to classical theories of poroelasticity where the skeletal deformations can be modelled as linear elastic. In the case of soft biological tissues and even highly compressible organic geological materials, the porous skeleton can experience large strains and, unlike rubberlike materials, the fluid plays an important role in maintaining the large strain capability of the material. In some instances, the removal of the fluid can render the geological or biological material void of any hyperelastic effects. While the fluid component can be present at various scales and forms, a useful first approximation would be to treat the material as hyperelastic where the fabric can experience large strains consistent with a hyperelastic material and an independent scalar pressure describes the pore fluid response. The flow of fluid within the porous skeleton is defined by Darcy's law for an isotropic material, which is formulated in terms of the relative velocity between the pore fluid and the porous skeleton. It is assumed that the form of Darcy's law remains unchanged during the large strain behaviour. This approach basically extends Biot's theory of classical poroelasticity to include finite deformations. The developments are used to examine the poro-hyperelastic behaviour of certain one-dimensional problems. |
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| Keywords: | Poro-hyperelasticity Fluid-saturated media Canonical analytical solutions Large deformations Time-dependent phenomena Calibration of computational results |
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