A variational-based fixed-point algorithm for the limit analysis of dry-masonry block structures with non-associative Coulomb friction. (October 2019)

• Record Type: Journal Article
• Authors: Nodargi, Nicola A.; Intrigila, Claudio; Bisegna, Paolo
• Is Part Of: International journal of mechanical sciences. Volume 161/162(2019)
• Publication Date: 2019-10
• Subjects: Masonry structures -- Limit analysis -- Non-associative friction -- Flow rule -- Coulomb friction -- Mathematical programming; Mechanical engineering -- Periodicals; Génie mécanique -- Périodiques; Mechanical engineering; Maschinenbau; Mechanik; Zeitschrift; Periodicals; 621.05
• DOI: 10.1016/j.ijmecsci.2019.105078
• Languages: English
• ISSNs: 0020-7403

Abstract

Highlights: 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. Graphical abstract: Abstract: 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.