A variational-based fixed-point algorithm for the limit analysis of dry-masonry block structures with non-associative Coulomb friction

•The limit analysis of dry-masonry block structures with non-associative Coulomb friction is formulated as a Mixed Complementarity Problem.•Variational arguments prove that a solution can be found by solving a fixed-point problem.•The fixed-point map involves the solution of a simple associative lim...

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Bibliographic Details
Published in:International journal of mechanical sciences Vol. 161-162; p. 105078
Main Authors: Nodargi, Nicola A., Intrigila, Claudio, Bisegna, Paolo
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.10.2019
Subjects:
Coulomb friction
Flow rule
Limit analysis
Masonry structures
Mathematical programming
Non-associative friction
Masonry structures
Limit analysis
Non-associative friction
Coulomb friction
Flow rule
Mathematical programming
ISSN:0020-7403, 1879-2162
Online Access:Get full text
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Summary:•The limit analysis of dry-masonry block structures with non-associative Coulomb friction is formulated as a Mixed Complementarity Problem.•Variational arguments prove that a solution can be found by solving a fixed-point problem.•The fixed-point map involves the solution of a simple associative limit analysis problem.•A stabilization of the fixed-point map is proposed.•A derivative-free algorithm is adopted for the solution of the fixed-point equations. [Display omitted] The limit analysis of dry-masonry block structures with non-associative Coulomb friction is formulated as a Mixed Complementarity Problem. Using variational arguments, it is proven that a solution can be constructed by considering a fixed-point problem, which is suitably stabilized and solved by a derivative-free algorithm. The resulting variational-based fixed-point algorithm succeedes to construct a non-associative limit analysis solution by iteratively addressing straightforward associative limit analysis problems. Numerical simulations show that the proposed algorithm is able to predict collapse multipliers of large masonry block structures with accuracy, robustness and effectiveness.
ISSN:0020-7403
1879-2162
DOI:10.1016/j.ijmecsci.2019.105078