On the application of the maximum entropy meshfree method for elastoplastic geotechnical analysis |
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| Institution: | 1. School of Engineering, Deakin University, Melbourne, Australia;2. School of Engineering, RMIT University, Melbourne, Australia;3. Software Engineer, ITW Construction, Asia Pacific, Melbourne, Australia;4. Australian Research Council Centre of Excellence for Geotechnical Science and Engineering, The University of Newcastle, Australia;1. Laboratory of Industrial Chemistry, Ruhr-University Bochum, Universitätsstr. 150, 44801 Bochum, Germany;2. Thermodynamics, Ruhr-University Bochum, Universitätsstr. 150, 44801 Bochum, Germany;3. Institute of Thermal Engineering, TU Bergakademie Freiberg, Gustav-Zeuner-Str. 7, 09599 Freiberg, Germany;1. Università di Trento, DICAM, Via Mesiano 77, 38123 Trento, Italy;2. Université de Grenoble, Laboratoire 3SR, 38041 Grenoble Cedex 9, France |
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| Abstract: | In this study, the Maximum Entropy Meshfree (MEM) method is employed for analysing geotechnical problems involving material nonlinearity, assuming small strains. The efficiency of the MEM method is evaluated through several solution schemes for the global governing equations as well as the local constitutive equations. The conventional implicit approach involving the Newton-Raphson method and an explicit adaptive dynamic relaxation technique are employed for solving the governing equations, while local constitutive equations are solved numerically as well as analytically. Two- and three-dimensional numerical experiments are performed to study the efficiency of different configurations of the solution scheme, which leads to some important conclusions about application of the MEM method in geotechnical problems. |
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| Keywords: | Maximum entropy meshfree method Dynamic relaxation Analytical stress integration Elastoplastic geotechnical analysis |
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