Lower bound limit analysis using non-linear programming

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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