Tarbiat Modares University Modares Civil Engineering journal 2476-6763 10 2 2010 06 22 Linear Homogenization of Brick Masonry Stuctures Linear Homogenization of Brick Masonry Stuctures 11651 FA Iman Salehi D. Masoud Soltani M. Masoud Soltani M. Abaas Ali Tasnimi Abaas Ali Tasnimi Journal Article bstract The average behavior of composite material like masonry can be described in terms of the relation average stresses and strains (macro model) if the material is assumed to be homogeneous. The average stress-strain relationship can be determined generally using two approaches. A possible approach is experimental investigation from the available experimental data. Another approach, adopted in this resedrch, is to develop a linear homogenization technique, which describes the behavior of the masonry from the geometry and the behavior of the representative basic cell. In this research, the elastic properties of a basic cell in masonry with a periodic arrangement of blocks were obtained based on a local stress field approach (micro-modeling of the mortar and blocks).Two different methods were used for computing the equivalent orthotropic elastic properties of the basic cell as a continuum, the approximate energy method (a closed form solution) and the finite element based method. The finite element method was used to approximately find the orthotropic yield curves of the homogenous element. The similarity of the general behavior of these gied curves with regard to the experimental facts was considerable. bstract The average behavior of composite material like masonry can be described in terms of the relation average stresses and strains (macro model) if the material is assumed to be homogeneous. The average stress-strain relationship can be determined generally using two approaches. A possible approach is experimental investigation from the available experimental data. Another approach, adopted in this resedrch, is to develop a linear homogenization technique, which describes the behavior of the masonry from the geometry and the behavior of the representative basic cell. In this research, the elastic properties of a basic cell in masonry with a periodic arrangement of blocks were obtained based on a local stress field approach (micro-modeling of the mortar and blocks).Two different methods were used for computing the equivalent orthotropic elastic properties of the basic cell as a continuum, the approximate energy method (a closed form solution) and the finite element based method. The finite element method was used to approximately find the orthotropic yield curves of the homogenous element. The similarity of the general behavior of these gied curves with regard to the experimental facts was considerable. https://mcej.modares.ac.ir/article_11651_9b34958c2bde3f10f457af458ed7cda4.pdf