Stochastic Modeling of Chaotic Masonry via Mesostructural Characterization

Abstract

Abstract. 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-Loève 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 field 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.

Macroscale modelling of the orthotropic shear damage in the dynamics of masonry towers by RBSM

“…In this case, the macro-scale response can be based on refined models with an explicit meso-scale description of the geometric arrangement of the blocks, or with a detailed behaviour of the mortar joints and interfaces at the micro-scale [1,2]. Several homogenization techniques, including multiscale, have been elaborated to accomplish the scale transition and most of these studies aims to implement numerical precedures adopting finite element approaches based on the Cauchy solid continuum model [3][4][5][6][7][8][9][10]. In theory, within the framework of continuum solid mechanics, the masonry modelling takes benefit of an enriched kinematics, e.g.…”