Application of Mechanics of Structure Genome in the homogenization of masonry reinforced by CFRP

Resumo

Masonry is one of the most widely used construction methods worldwide, however, as it is a hetero-
geneous material, its modeling is presented as a time-consuming process. As one of the main difficulties about

working with a composite material is due to its anisotropy, caused by the different physical properties of each
present component, mathematical or computational techniques for structural analysis have become essential tools
in this study. In this article, the used technique is Mechanics of Structure Genome (MSG), because it allows the
obtainment of three-dimensional models from simpler systems and smaller dimensions. The tests were performed

in the computational tool SwiftComp, available for computers and also in its mobile version minimizing compu-
tational costs and enabling the homogenization of the studied composite, which is masonry reinforced by mesh

of carbon fiber reinforced polymer (CFRP). After possessing the Young’s modulus and the Poisson’s ratio of the
components, both of the CFRP and of the masonry, it is possible to perform the homogenization of each one,
separately. Thus, the elastic constants of each of them are obtained to finally present the three-dimensional elastic
properties of the masonry reinforced by CFRP, assuming a small variation for the Poisson’s ratio of the matrix, in
order to obtain the constitutive relation of the element.