Fluid boundary of a viscoplastic Bingham flow for finite solid deformations |
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| Authors: | O Thual L Lacaze |
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| Institution: | 1. Université de Toulouse, INPT, UPS, IMFT, Allée Camille Soula, F-31400 Toulouse, France;2. CNRS, IMFT, F-31400 Toulouse, France;1. Université de Toulouse, INPT, UPS, IMFT (Institut de Mécanique des Fluides de Toulouse), Allée Camille Soula, F-31400 Toulouse, France;2. CNRS, IMFT, F-31400 Toulouse, France;1. Department of Civil Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei 10617, Taiwan;2. Department of Harbor and River Engineering, National Taiwan Ocean University, No. 2, Pei-Ning Road, Keelung 20224, Taiwan;3. Department of Systems Engineering and Naval Architecture, National Taiwan Ocean University, No. 2, Pei-Ning Road, Keelung 20224, Taiwan;1. Institute of Adaptronics and Function Integration, Technische Universität Braunschweig, Langer Kamp 6, 38106 Braunschweig, Germany;2. Institute of Structural Analysis, Leibniz Universität Hannover, Appelstraße 9A, 30167 Hannover, Germany;3. Institute of Composite Structures and Adaptive Systems, DLR (German Aerospace Center), Lilienthalplatz 7, 38108 Braunschweig, Germany;1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China;2. School of Energy, Geoscience, Infrastructure and Society, Heriot-Watt University, Edinburgh EH144 AS, UK;3. School of Engineering and Computing Sciences, University of Durham, UK;4. Jinling Institute of Technology, Mechatronic Engineering College, Nanjing, 211169, China |
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| Abstract: | The modelling of viscoplastic Bingham fluids often relies on a rheological constitutive law based on a “plastic rule function” often identical to the yield criterion of the solid state. It is also often assumed that this plastic rule function vanishes at the boundary between the solid and fluid states, based on the fact that it is true in the limit of small deformations of the solid state or for simple yield criteria. We show that this is not the case for finite deformations by considering the example of a two state flow on a tilted plane where the solid state is described by a Neo-Hookean model with a Von Mises yield criterion. This opens new approaches for the modelling and the computation of the fluid state boundaries. |
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