Ricerc@Sapienza

We illustrate an original method for the limit analysis of masonry structures modeled as assemblies of dry rigid blocks with Coulomb-type (non-associative) contact interface laws. The method resorts to a fictitious system characterized by cohesive-type contact interface laws that depend on the axial forces of the real block system. Two theorems establish the connection between the collapse state of the real (frictional) block assembly and that of the fictitious one. Hence, an alternative problem of mathematical programming is presented to evaluate the minimum collapse load multiplier.

The aim of this research is to develop a method to support the definition of efficient and fair divisional projects in particularly complex cases concerning inheritance disputes. Firstly, the approach involves an appraisal of the market value of the assets, along with an analysis of the respective conditions of concrete divisibility; then, two mathematical models have been developed for the assignment of the assets to the subjects involved in the divisional projects.