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

摘要

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.