Latest revision as of 14:29, 30 November 2021

Abstract

Brick masonry is a multicomponent composite material, characterized by a marked inhomogeneity, a highly anisotropic behavior arising from the complex interactions between joints and bricks, and a considerable spatial variability of material properties, particularly relevant in the case of historical masonries. The focus of this paper is on the interdependence between the spatial variability of mechanical properties of joints and the overall homogenized response of a given volume element of masonry. It is assumed that mechanical properties of bed joints may vary according to a fixed probability distribution and correlation function and the mechanical response of the volume element is investigated in terms of the overall elastic stiffness. As confirmed by preliminary results, the spatial variability of the mechanical properties may affect the overall response of a masonry wall.

Full document

References

[1] L. Schueremans, D. Van Gemert, Predicting masonry properties from component properties using probabilistic techniques, Proceedings of the STRUMAS V, The Fifth International Symposium on Computer Methods in Structural Masonry, 2001.

[2] R. Zavalis, B. Jonaitis, Lourenco P.B., Analysis of bed joint influence on masonry modulus of elasticity, Proceedings of the 9 th International Masonry Conference in Guimarães, 2014.

[3] J. Li, M. J. Masia, M.S. Stewart, Stochastic spatial modelling of material properties and structural strength of unreinforced masonry in two-way bending, Structure and Infrastructure Engineering, 1-13, 2016.

[4] V. Gusella, F. Cluni, Random field and homogenization for masonry with nonperiodic microstructure, Journal of Mechanics of Materials and Structures, 1 (2): 357-386, 2006

[5] S. Ghosh, K. , S. Moorthy, Two scale analysis of heterogeneous elastic plastic materials with asymptotic homogenisation and Voronoi cell finite element model. Comput Methods Appl Mech Eng 132:63–116, 1996.

[6] C. Miehe, Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. Int J Numer Methods Eng 55:1285–322, 2002.

[7] Z. Khisaeva, M. Ostoja-Starzewski, On the size of RVE in finite elasticity of random composites. J Elast 85:153–173, 2006

[8] P. Trovalusci, M.L. De Bellis, M. Ostoja-Starzewski, A. Murrali, Particulate random composites homogenized as micropolar materials. Meccanica 49, 2719–2727, 2014.

[9] D. Tromans, Elastic anisotropy of hcp metal crystals and polycrystals, International Journal of Research and Reviews in Applied Sciences, 6.4, pp.462-463, 2011.

[10] A. Bacigalupo, M.L. De Bellis, Auxetic anti-tetrachiral materials: Equivalent elastic properties and frequency band-gaps, Composite Structures, 131: 530-544, 2015.

[11] C.W. Gardiner, Handbook of Stochastic Methods (2nd ed.), Springer-Verlag, p. 106, ISBN 978-0-387-15607-1, 1985