Design of the optimal fiber reinforcement for masonry structures via topology optimization

The optimal layout of the fiber reinforcement to be placed on existing masonry structures is determined using topology optimization [1]. The problem can be conveniently formulated as the minimization of the amount of reinforcement required to keep tensile stresses in any masonry element below a prescribed threshold. Strength criteria for masonry elements are provided by means of a recently presented lower bound limit analysis homogenization model [2], relying into a discretization of one-fourth of the unit cell by six CST elements. The macroscopic strength domain of masonry can be obtained in closed form, thanks to the limited number of variables involved. A multi-constrained discrete formulation that locally controls the stress field over the whole design domain [3] is adopted. The contribution presents some preliminary numerical results addressing the fiber-reinforcement of a benchmark masonry wall.

Optymalny układ zbrojenia z włókna do umieszczenia na istniejących konstrukcjach murowych jest określany za pomocą optymalizacji topologii.