Micromechanical approach to the strength properties of frictional geomaterials |
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| Authors: | S Maghous L Dormieux JF Barthélémy |
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| Institution: | 1. Federal University of Rio Grande do Sul, Department of Civil Engineering, av. Osvaldo Aranha, 99, 3° andar, CEP. 90035-190, Porto Alegre, RS, Brazil;2. Ecole Nationale des Ponts et Chaussées, LMSGC, 6 et 8 av. Blaise Pascal, Cité Descartes, Champs-sur-Marne, 77455 Marne-la Vallée, France;1. Institute for Mechanics of Materials and Structures, TU Wien - Vienna University of Technology, A-1040 Vienna, Austria;2. Ecole Nationale Supérieure des Mines de Saint Etienne, CIS-EMSE, SAINBIOSE, F-42023 Saint-Etienne, France;3. INSERM U1059, SAINBIOSE, F-42023 Saint-Etienne, France;4. Université de Lyon, F-69000 Lyon, France;1. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing, 210098, China;2. Univ.Lille, CNRS, Centrale Lille, FRE 2016-LaMcube, F-59000, Lille, France;1. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098, China;2. Jiangsu Research Center for Geotechnical Engineering Technology, Hohai University, Nanjing 210098, China;3. University of Lille, Laboratory of Mechanics of Lille, Villeneuve d’Ascq, 59650 France |
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| Abstract: | The present paper describes a micromechanics-based approach to the strength properties of composite materials with a Drucker–Prager matrix in the situation of non-associated plasticity. The concept of limit stress states for such materials is first extended to the context of homogenization. It is shown that the macroscopic limit stress states can theoretically be obtained from the solution to a sequence of viscoplastic problems stated on the representative elementary volume. The strategy of resolution implements a non-linear homogenization technique based on the modified secant method. This procedure is applied to the determination of the macroscopic strength properties and plastic flow rule of materials reinforced by rigid inclusions, as well as for porous media. The role of the matrix dilatancy coefficient is in particular discussed in both cases. Finally, finite element solutions are derived for a porous medium and compared to the micromechanical predictions. |
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