The limit analysis of dry-masonry block assemblages with non-associative frictional joints is formulated as a Mixed Complementarity Problem. To overcome the computational issues due to the non-convexity of the complementarity constraints, a fixed-point based algorithm is presented for constructing a solution of the problem. Specifically, each fixed-point iteration consists in the solution of a straightforward associative limit analysis problem, whereas a fixed point is sought for with respect to the normal forces at the frictional joints. The comparison with benchmark problems proves that the resulting procedure is able to predict the collapse multiplier of dry-masonry block assemblages with accuracy, robustness and effectiveness.
Nodargi, N.a., Intrigila, C., Bisegna, P. (2020). Limit analysis of dry masonry block assemblages with non-associative frictional joints. In Cecot W, Kozien M, Lisowski W, Nalepka K, Pamin J, Reczek W, et al. (a cura di), 4th Polish Congress of Mechanics and the 23rd International Conference on Computer Methods in Mechanics (pp. 020033). American Institute of Physics Inc. [10.1063/5.0007805].
Limit analysis of dry masonry block assemblages with non-associative frictional joints
Nodargi N. A.
;Bisegna P.
2020-01-01
Abstract
The limit analysis of dry-masonry block assemblages with non-associative frictional joints is formulated as a Mixed Complementarity Problem. To overcome the computational issues due to the non-convexity of the complementarity constraints, a fixed-point based algorithm is presented for constructing a solution of the problem. Specifically, each fixed-point iteration consists in the solution of a straightforward associative limit analysis problem, whereas a fixed point is sought for with respect to the normal forces at the frictional joints. The comparison with benchmark problems proves that the resulting procedure is able to predict the collapse multiplier of dry-masonry block assemblages with accuracy, robustness and effectiveness.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
