A multiscale work-analysis approach for geotechnical structures |
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Authors: | Hao Xiong Zhen-Yu Yin François Nicot |
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Institution: | 1. Department of Civil and Environmental Engineering, Hong Kong Polytechnic University, Hong Kong, China;2. Centre de Grenoble, Universite Grenoble Alpes, Irstea, UR ETGR, St-Martin-d'Heres, F-38402 France |
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Abstract: | This paper presents a second-order work analysis in application to geotechnical problems by using a novel effective multiscale approach. To abandon complicated equations involved in conventional phenomenological models, this multiscale approach employs a micromechanically-based formulation, in which only four parameters are involved. The multiscale approach makes it possible a coupling of the finite element method (FEM) and the micromechanically-based model. The FEM is used to solve the boundary value problem (BVP) while the micromechanically-based model is utilized at the Gauss point of the FEM. Then, the multiscale approach is used to simulate a three-dimensional triaxial test and a plain-strain footing. On the basis of the simulations, material instabilities are analyzed at both mesoscale and global scale. The second-order work criterion is then used to analyze the numerical results. It opens a road to interpret and understand the micromechanisms hiding behind the occurrence of failure in geotechnical issues. |
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Keywords: | failure granular materials instability micromechanics multiscale approach second-order work |
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