Homogenization of Interlocking Masonry Walls

In a previous publication the authors proposed a continuous model for describing the mechanical behaviour of ‘Running Bond’ masonry walls. Here a different masonry structure is considered. This structure is ‘bi-atomic’ in the sense that its pattern consists in two kind of blocks with different. The homogenization by differential expansions technique is used for obtaining an equivalent Cosserat continuum. It is shown that the enriched kinematics of the Cosserat continuum is not sufficient to capture the full dynamic behaviour of this bi-atomic system. However, the Cosserat continuum model behaves well for low frequency waves and for wave lengths 5 to 10 times bigger the elementary cell.