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

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 pre...

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Bibliographic Details
Published in:Computers & structures 2006-05, Vol.84 (13), p.873-887
Main Authors: Gilbert, M., Casapulla, C., Ahmed, H.M.
Format: Article
Language:English
Subjects:
Applied sciences
Building structure
Buildings. Public works
Computational techniques
Construction (buildings and works)
Coulomb friction
Exact sciences and technology
Flow rule
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Limit analysis
Linear programming
Masonry structure
Masonry structures
Mathematical methods in physics
Non-associative friction
Physics
Solid mechanics
Structural and continuum mechanics
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Summary: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.
ISSN:0045-7949
1879-2243
DOI:10.1016/j.compstruc.2006.02.005