Limit analysis of masonry block structures with non-associative frictional joints using linear programming

Authors:
M. Gilbert;C. Casapulla;H. M. Ahmed
Affiliations:
Department of Civil and Structural Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK;Department of "Costruzioni e Metodi Matematici in Architettura", University of Naples Federico II, Via Monteoliveto, 3, 80134, Naples, Italy;Department of Civil and Structural Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK
Venue:
Computers and Structures
Year:
2006

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Abstract

Although limit analysis has been found to be a valuable tool for analysing the stability of masonry gravity structures, modelling non-associative Coulomb sliding friction can be problematic. A simple iterative procedure which involves the successive solution of linear programming sub-problems is presented in the paper. Using the procedure a specially modified Mohr-Coulomb failure surface is adopted at each contact interface, with all failure surfaces updated at each iteration until a converged solution is obtained. The procedure is applied to problems from the literature and also to new, considerably larger, benchmark problems. blems.