A bonded-particle model for cemented sand |
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| Affiliation: | 1. Fraunhofer Institute for Industrial Mathematics, Fraunhofer–Platz 1, 67663 Kaiserslautern, Germany;2. Division of Soil Mechanics and Foundation Engineering, Technical University of Kaiserslautern, 67663 Kaiserslautern, Germany;3. Institute of Engineering and Computational Mechanics, University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany;1. Department of Geotechnical Engineering, College of Civil Engineering, Tongji University, Shanghai 200092, China;2. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China;3. State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China;1. School of Mining, University College of Engineering, University of Tehran, 14395-515, Tehran, Iran;2. Department of Mining and Metallurgy Engineering, Amir Kabir University of Technology, Tehran, Iran;1. Institute for Infrastructure and Environment, School of Engineering, The University of Edinburgh, Edinburgh EH9 3JL, United Kingdom;2. Department of Civil and Environmental Engineering, Skempton Building, Imperial College London, London SW7 2AZ, United Kingdom;3. Department of Geotechnical Engineering, School of Civil Engineering, Tongji University, Shanghai 200092, China;4. Key Laboratory of Geotechnical Engineering, Tongji University, Shanghai 200092, China |
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| Abstract: | We propose an extension of the Discrete Element Method for the numerical simulation of cemented sands, in which spherical particles are bonded together by elastic beams connecting the centers of the spheres. The parameters of this model are the strengths and stiffnesses of the bonds and particles. For small strains, the elasticity of the bond element is equal to the well-known linear finite-element Timoshenko beam element with reduced integration. The finite rotations are represented by unit quaternions. An efficient way to compute relative rotations and to decompose them into their components is presented.The results of triaxial compression tests on artificially cemented sands are used to verify that the model can capture the macroscopic behavior of such materials. The results show that peak stress mainly depends on the strength of the bonds and the number of initially bonded particles in the material. Results of triaxial tests with different cement contents are reproduced by the analysis. An important parameter of the model is the strength difference between tension and compression of the bond element. This property controls the influence of the confining pressure on peak strength. In the future, the model could be adapted to other types of bonded materials like asphalt or rock. |
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