Elastically-homogeneous lattice models of damage in geomaterials |
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| Affiliation: | 1. Geological Survey of Japan, National Institute of Advanced Industrial Science and Technology (AIST), Higashi 1-1-1, Central 7, Tsukuba, Ibaraki 305-8567, Japan;2. Horonobe Underground Research Department, Sector of Decommissioning and Radioactive Wastes Management, Japan Atomic Energy Agency (JAEA), Hokkaido, Japan;3. Earth & Environmental Sciences Area, Lawrence Berkeley National Laboratory (LBNL), 1 Cyclotron Road, Berkeley, CA 94720, USA;4. Department of Civil and Environmental Engineering, University of California, Davis, One Shields Avenue, Davis, CA 95616, USA;1. Department of Civil and Earth Resources Engineering, Kyoto University, Japan;2. Department of Urban Management, Kyoto University, Japan;3. Ministry of Economy, Trade and Industry, Japan;1. Department of Civil Engineering, Northeastern University, Box 265 NO. 3-11, Wenhua Road, Heping District, Shenyang 110819, P. R. China;2. Department of Civil Engineering, McMaster University, 1280 Main Street, West Hamilton, Ontario L8S 4L8, Canada;1. School of Civil Engineering and Architecture, Nanchang University, Nanchang, China;2. University of Lille, Laboratory of Mechanics of Lille, 59655 Villeneuve d’Ascq, France |
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| Abstract: | This study involves the development of the auxiliary stress approach for producing elastically-homogeneous lattice models of damage in geomaterials. The lattice models are based on random, three-dimensional assemblages of rigid-body-spring elements. Unlike conventional lattice or particle models, the elastic constants of a material (e.g., Young’s modulus and Poisson’s ratio) are represented properly in both global and local senses, without any need for calibration. The proposed approach is demonstrated and validated through analyses of homogeneous and heterogeneous systems under uni- and tri-axial loading conditions. Comparisons are made with analytical solutions and finite element results. Thereafter, the model is used to simulate a series of standard laboratory tests: (a) split-cylinder tests, and (b) uniaxial compressive tests of sedimentary rocks at the Horonobe Underground Research Laboratory in Hokkaido, Japan. Model inputs are based on physical quantities measured in the experiments. The simulation results agree well with the experimental results in terms of pre-peak stress-strain/displacement responses, strength measurements, and failure patterns. |
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| Keywords: | Discrete methods 3D irregular lattice Poisson effect Horonobe URL Brittle damage pattern |
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