Determination of homogeneous stiffness matrix for masonry structure by means of homogenizing theorem

According to homogenizing theorem,heterogeneous or composite materials can be transformed to homogeneous materials by means of constant elastic classical displacements with effective elastic constants which indicate average characteristics of non-homogeneous environment.most of the methods deliver the homogenized stiffness matrix as a function of constituent materials: mortar and brick,their volume fraction and the geometrical arrangement of masonry. in this paper,homogenized stiffness matrix for a single layer masonry wall is obtained by two existing homogenizing methods reuss,& voigt and an innovative proposed model. then,the results are compared withthe results oflorenco method & finite element analysis method. finally,in the present study,the comparisons and analyses proved the accuracy andefficiency ofinnovative proposed modelwith detail.