Abstract
Micromechanics play a key role in the prediction of the local and overall behavior of masonry with or without accounting for interface behavior and damage in different components. Homogenization techniques are powerful methods that allow the reduction of computational time and cost by considering a unit periodic cell reproducing the overall behavior of the whole or a part of the masonry structure with components (brick and mortar joints) showing either linear or nonlinear behavior (creep, damage, etc.). The chapter synthesizes some recently proposed methodologies based on micromechanics approaches allowing the modeling of masonry structures and providing results at local and global levels compared with either available experimental analyses or finite element models.
Highlights
Masonry is one of the oldest construction materials and is still commonly used today to build houses or structures because of its strength, solidity, durability, resistance, its elegant appearance, etc
The interface stiffnesses are inversely proportional to the square of the ultimate crack length lu; which explains the maximum discrepancy of about 17%
It provides accurate orthotropic overall tangent properties for this masonry in the short and long terms. The accuracy of this model is based on similar in-plane stress hypotheses for constitutive functions in joints and bricks in contrast to the analytical model. This accuracy is a function of both factors: numerical error function of the mesh refinement and the choice of the mean-field homogenization scheme used to assess the behavior of the microcracked mortar
Summary
Masonry is one of the oldest construction materials and is still commonly used today to build houses or structures because of its strength, solidity, durability, resistance, its elegant appearance, etc. The walls are very thick, requiring the stability to be studied from a theoretical point of view, especially when wind or earthquakes are a concern. The strength of the masonry is critical and it is necessary to study the solidity of the structure using fine models and numerical simulations as in the case of concrete and steel structures. Other problems such as cracks require more detailed studies on the design of masonry structures
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