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Lower bound limit analysis of wedge stability using block element method
Institution:1. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, College of Civil and Transportation Engineering, Hohai University, Nanjing 210098, China;2. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China;3. Department of Civil and Environmental Engineering, Virginia Tech, Blacksburg, VA 24060, USA;4. Department of Civil, Architectural and Environmental Engineering, University of Texas at Austin, Austin, TX 78712, USA;1. Department of Building Structures and Geotechnical Engineering, University of Seville, Spain;2. TGT-NT2 Labs, Chile;3. Department of Geodynamics, University of Granada, Spain;4. Department of Computer Science. Pablo de Olavide University of Seville, Spain;1. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, No. 1, Xikang Road, Nanjing 210098, China;2. Department of Forest Engineering, Resources and Management, Oregon State University, Corvallis, OR 97331, USA;3. Key Laboratory of Failure Mechanism and Safety Control Techniques of Earth-rock Dam of the Ministry of Water Resources, 223 Guangzhou Road, Nanjing 210029, China;1. Univ. Grenoble Alpes/CNRS, UMR 5521 3SR, Grenoble, France;2. Université de Lorraine/CNRS/CREGU, GeoResources Lab, Vandoeuvre–lès–Nancy, France;3. CSIRO Energy Flagship, Pullenvale, QLD, Australia;4. IMSRN, Montbonnot, France;1. Université Grenoble Alpes/CNRS, UMR 5521 3SR, Grenoble, 38000, France;2. IMSRN, Parc Pré Millet – 680 Rue Aristide Bergès, Montbonnot, 38330, France;3. CSIRO Energy Flagship, Po Box 883, Pullenvale, QLD, 4069, Australia;4. GeoRessources Lab., Université de Lorraine, CNRS, CREGU, Vandoeuvre-lès-Nancy, 54500, France;1. School of Hydraulic Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China;2. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
Abstract:A lower bound limit analysis approach based on the block element method is proposed to analyze wedge stability problem. The search for the maximum value of the factor of safety is set up as a nonlinear programming problem. Sequential quadratic programming (SQP) algorithm from a reasonable initial value is applied to obtain the optimal solution. This approach provides a strict lower bound solution considering the sliding mode and rotation effect simultaneously. The deviations of the factor of safety between the present and traditional limit equilibrium methods are positively correlated with both the friction angle and the dip of the discontinuity surface.
Keywords:Lower bound limit analysis  Block element method  Wedge stability  Nonlinear programming  Sliding mode and rotation effect
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