- Title
- Lower bound limit analysis using non-linear programming
- Creator
- Lyamin, A. V.; Sloan, S. W.
- Relation
- International Journal For Numerical Methods In Engineering Vol. 55, Issue 5, p. 573-611
- Publisher Link
- http://dx.doi.org/10.1002/nme.511
- Publisher
- John Wiley and Sons Ltd
- Resource Type
- journal article
- Date
- 2002
- Description
- This paper describes a new formulation, based on linear finite elements and non-linear programming, for computing rigorous lower bounds in 1, 2 and 3 dimensions. The resulting optimization problem is typically very large and highly sparse and is solved using a fast quasi-Newton method whose iteration count is largely independent of the mesh refinement. For two-dimensional applications, the new formulation is shown to be vastly superior to an equivalent formulation that is based on a linearized yield surface and linear programming. Although it has been developed primarily for geotechnical applications, the method can be used for a wide range of plasticity problems including those with inhomogeneous materials, complex loading, and complicated geometry.
- Subject
- static; lower bound; limit analysis; plasticity; finite element; formulation
- Identifier
- uon:1415
- Identifier
- http://hdl.handle.net/1959.13/27155
- Identifier
- ISSN:0029-5981
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