Homogenization of non-periodic masonry structures

Stochastic Modeling of Chaotic Masonry via Mesostructural Characterization

“…Material constants of individual constituents were considered to be deterministic, the concrete values of the Young moduli E (m) = 1, 200 MPa, E (s) = 12, 500 MPa and of the Poisson ratios ν (m) = 0.3 and ν (s) = 0.2 were selected following [7]. The geometrical uncertainty due to irregular configuration of individual phases was quantified on the basis of image analysis data presented in Figure 1.…”

“…Additionally, the notion of a stochastic representative element can be adopted, based either on matching spatial statistics as originally proposed by Povirk in [32] and subsequently applied to masonry structures in [43,48], or deduced from the convergence of apparent macroscopic properties. The latter concept was proposed by Huet [17] in the deterministic setting, extended by Sab [34] to random media and implemented for historical masonry structures by Cluni and Gusella [7,14].…”

Discrete Model for Out-of-Plane Loaded Random Masonry

“…Considering historical masonry, real case studies are often characterized by walls having blocks arranged irregularly. The literature dedicated to this aspect is present [3][4][5][6][7][8], but most of the existing analytical and numerical models are dedicated to the case of regular masonry. Refined numerical models such as the discrete ones [9] are able to study the behavior of independent (distinct) elements in contact with several neighbors, then they are able to represent the mechanical properties of historical masonry, that is characterized by weak and small joints with respect to strong and well-sized blocks, allowing to assume that damage occurs more frequently along joints.…”

Untitled

“…Our approach follows the first study in [Jiang et al 2001], and is a particular case of a general methodology to assess RVE size [Huet 1990;Sab 1992] in elasticity and inelasticity in the sense of [Hill 1963], and to set up micromechanically-based random fields of continuum properties [Ostoja-Starzewski and Wang 1989;Ostoja-Starzewski 1994]. This approach has primarily been used in linear elasticity [Hazanov and Huet 1994;Cluni and Gusella 2004;Kanit et al 2003;Ostoja-Starzewski 1999;, and in new inroads in viscoelasticity [Huet 1995;, elastoplasticity [Jiang et al 2001;Ostoja-Starzewski 2005], plasticity with damage [Clayton and McDowell 2004], thermomechanics with internal variables [Ostoja-Starzewski 2002], and finite (thermo)elasticity [Khisaeva and Ostoja-Starzewski 2006]. Related studies in linear thermoelasticity and Stokesian flow in porous media are currently underway [Du and Ostoja-Starzewski 2006a;].…”