Three-dimensional Cosserat homogenization of masonry structures: elasticity

Abstract : Masonry is a two-phase composite material formed by regularly distributed bricks and mortar. The homogenization procedure followed here extends the 2D approach of Sulem and Mühlhaus (Mech Cohesive Frict Mater 2:31-46, 1997) and leads to an anisotropic 3D Cosserat continuum. The enriched kinematics of the Cosserat continuum allows us to model microelement systems undergoing in-plane and out-of-plane rotations. The domain of validity of the derived Cosserat continuum is discussed by comparing the dispersion function of the discrete system of blocks with the continuous one and is found to be in good agreement. © 2008 Springer-Verlag.