Upper bound limit analysis using linear finite elements and non‐linear programming

By Andrei Lyamin, Scott W. Sloan. 2001

457 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Safety, Risk, Reliability and Quality

View Paper: https://www.semanticscholar.org/paper/18da178f146608defaea49547a81e96c66738fe3

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In Civil and Structural Engineering

In Computational Mechanics

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Citations in the corpus

Lower bound limit analysis of an anisotropic undrained strength criterion using second‐order cone programming (2018, methodology): “Note that the techniques of FELA with MP were also used to develop the computational method of the UB theorem.(5,7,10,16,18-26) Sloan(27) clearly demonstrated that the computational methods of the LB and UB theorems using concepts of FE and MP, commonly known as FELA, has become a powerful approach ”
Bearing Capacity of Spatially Random Cohesive Soil Using Numerical Limit Analyses (2011, unknown): “…analyses for rigid perfectly plastic materials, using finite element discretization and linear (Sloan, 1988a; Sloan & Kleeman, 1995) or non-linear (Lyamin & Sloan, 2002a, b) programming methods, provide a practical, efficient and accurate method for performing geotechnical stability calculations.”
Mesh adaptive computation of upper and lower bounds in limit analysis (2008, methodology): “In [15, 16], on the other hand, lower and upper bounds of the collapse multiplier are computed for soil mechanics problems on uniform meshes, using linear finite elements and a non-linear two-stage, quasi-Newton optimization algorithm.”
Three-dimensional Mohr-Coulomb limit analysis using semidefinite programming (2007, background): “DOI: 10.1002/cnm.1018 Three-dimensional Mohr–Coulomb limit analysis using semidefinite programming K. Krabbenhøft∗,†, A. V. Lyamin and S. W. Sloan Centre for Geotechnical and Materials Modelling, School of Engineering, University of Newcastle, Callaghan, NSW 2308, Australia SUMMARY Recently, Krabben”
Limit analysis solutions for three dimensional undrained slopes (2009, methodology): “The purpose of this paper is to provide sets of 3D stability charts for undrained homogeneous and inhomogeneous soil slopes by using the finite element bounding methods of Lyamin and Sloan [17] and Krabbenhoft et al. [18] which can bracket the actual stability numbers from above and below.”