LOMBARDO, M. ... et al, 2009. Stochastic modeling of chaotic masonry via mesostructural characterization. International Journal for Multiscale Computational Engineering, 7 (2), pp.171-185.
The purpose of this study is to explore three numerical approaches to the
elastic homogenization of disordered masonry structures with moderate meso/macrolengthscale
ratio. The methods investigated include a representative of perturbation
methods, the Karhunen-Lo eve expansion technique coupled with Monte-Carlo simulations
and a solver based on the Hashin-Shtrikman variational principles. In all cases,
parameters of the underlying random eld of material properties are directly derived
from image analysis of a real-world structure. Added value as well as limitations of
individual schemes are illustrated by a case study of an irregular masonry panel.