Three-dimensional Mohr-Coulomb limit analysis using semidefinite programming

Title: Three-dimensional Mohr-Coulomb limit analysis using semidefinite programming
Creator: Krabbenhøft, K.; Lyamin, A. V.; Sloan, S. W.
Relation: Communications in Numerical Methods in Engineering Vol. 24, Issue 11, p. 1107-1119
Publisher Link: http://dx.doi.org/10.1002/cnm.1018
Publisher: Wiley Interscience
Resource Type: journal article
Date: 2008
Description: Recently, Krabbenhøft et al. (Int. J. Solids Struct. 2007; 44:1533–1549) have presented a formulation of the three-dimensional Mohr–Coulomb criterion in terms of positive-definite cones. The capabilities of this formulation when applied to large-scale three-dimensional problems of limit analysis are investigated. Following a brief discussion on a number of theoretical and algorithmic issues, three common, but traditionally difficult, geomechanics problems are solved and the performance of a common primal– dual interior-point algorithm (SeDuMi (Appl. Numer. Math. 1999; 29:301–315)) is documented in detail. Although generally encouraging, the results also reveal several difficulties which support the idea of constructing a conic programming algorithm specifically dedicated to plasticity problems.
Subject: limit analysis; Mohr–Coulomb; optimization; semidefinite programming; plasticity
Identifier: http://hdl.handle.net/1959.13/43316
Identifier: uon:5436
Identifier: ISSN:1069-8299
Language: eng
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