Lower bound limit analysis using non‐linear programming
By Andrei Lyamin, Scott W. Sloan. 2002
542 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Safety, Risk, Reliability and Quality
View Paper: https://www.semanticscholar.org/paper/ec73c32b352438e2f11d9f09f7d1daf7d6ec085a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Civil and Structural Engineering
- A. Makrodimopoulos
- C. Martin
- Kristian Krabbenhøft
- Andrei Lyamin
- Scott W. Sloan
- Javier Bonet
- Jaime Peraire
- Andrew J. Whittle
In Safety, Risk, Reliability and Quality
- A. Makrodimopoulos
- C. Martin
- Javier Bonet
- Jaime Peraire
- A. Antão
- M. Vicente da Silva
- Kristian Krabbenhøft
- Andrei Lyamin
Citations in the corpus
- Lower bound limit analysis of cohesive‐frictional materials using second‐order cone programming (2006, methodology): “In Reference [12] a hyperbolic approximation was used to smooth the Mohr–Coulomb yield surface (internally) in the vicinity of the apex.”
- Lower bound limit analysis with adaptive remeshing (2005, methodology): “772 was obtained using a specially arranged mesh containing more than 6000 elements [14].”
- Upper bound limit analysis using simplex strain elements and second‐order cone programming (2007, methodology): “[19] and used it to obtain strict lower bounds [24] and upper bounds [7] for various test problems.”
- Bearing Capacity of Spatially Random Cohesive Soil Using Numerical Limit Analyses (2011, methodology): “…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.”
- A non‐linear programming method approach for upper bound limit analysis (2007, methodology): “Upper bound (present work) Analytical [31] Lower bound [6] (deg.”
- 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.”
- Yield surface approximation for lower and upper bound yield design of 3D composite frame structures (2013, background): “Recent advances in mathematical programming have extended interior point algorithms to second-order cone programming (SOCP) problems [2, 15, 19, 20].”