Large displacement analysis of dry-jointed masonry structures subjected to settlements using rigid block modelling

A discrete element model is proposed for large displacement static analysis of dry-jointed masonry structures subjected to foundation settlements. The numerical model is a two-dimensional assemblage of rigid blocks interacting at no-tension, frictional contact interfaces with infinite compressive strength. The static contact problem associated to the proposed model is formulated as a linear mathematical programming problem and an incremental procedure is implemented to take into account large displacements. Experimental tests were carried out on small scale panels with opening subjected to imposed settlements to validate the proposed model. Comparisons in terms of failure modes and maximum allowable support displacements just before the collapse are presented. An experimental case study from the literature related to a masonry arch on spreading support is also analyzed for validation. On the basis of the obtained results, the accuracy and the computational efficiency of the formulation adopted are discussed.