The Thesis presents some numerical models based on homogenization
for masonry structures subjected to in- and out-of-plane loads.
Joints and bricks are assumed either linear elastic or rigid
perfectly-plastic. In the latter case, a simple optimization
problem is derived at a cell level to evaluate the macroscopic
strength domain of masonry, using both the static and the kinematic
theorem of limit analysis. A simple polynomial expansion of the
micro-stress field in a finite number of rectangular sub-domains is
proposed, suitable to obtain with a very limited computational
effort a lower bound estimation of both in- and out-of-plane
masonry failure surfaces. Strength domains so recovered are then
implemented in suitable FE limit analysis codes for the upper and
lower bound estimation of collapse loads and failure mechanisms of
entire walls. Finally, the effect of the introduction of FRP strips
as reinforcement is discussed using standard FE homogenization in
the elastic range.
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