عنوان مقاله [English]
Masonry behaviors are non-isotropic, and orthotropic models were represented in the past to simulate masonry behavior in macro scale, but, because of being complex and dependent on an enormous amount of parameters, these models were not welcomed by engineers. To resolve these disadvantages, simplify the analysis process, and increase its accuracy, a new initiative method has been used to analyze masonry walls, known as multi-laminate framework. The concept of multi-laminate framework is based on a numerical approximation of a certain physical property distributed over the volume of a media. This approach can be numerically achieved by summing up the multiplications of the property values by the specified weighted coefficients for those points and considering them as an approximate representative value for the media. Substantially the overall macroscopic quantities, such as strain, stress, and their rates, should be expressible in terms of the relevant semi-microscopic quantities by means of a systematic averaging process. Accordingly, based on this framework, the behavior of a three-dimensional porous medium is averaged and approximated into the appropriate summation of slipping behavior of sampling planes. Consequently, this slip feature must be representatives of the real variations that are taken place through the structural units. Therefore, the preciseness of the solution is highly related to employed constitutive relation for frictional slip. Two general aspects are known using frictional boundary conditions. The first concerns itself with the strength of a structure that contains joints on which slip may occur; the second is the question of stability of motion once slip deformation does occur. The well-known Mohr-Coulomb's law, as the simplest constitutive relations which may satisfy the expected features in material behavior after some modifications, can be the best choice. Multi laminate framework is an applicable and strong method in predicting anisotropy of material behavior (inherent and imposed). So far, this method has been used to model materials such as soil, stone and concrete. In this paper, for the first time, it is used to model masonry structures. All the data, represented in this paper, have been produced through codes written in MATLAB software.