Random field and homogenization for masonry with nonperiodic microstructure

Gusella, Vittorio; Cluni, Federico

doi:10.2140/jomms.2006.1.357

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Random field and homogenization for masonry with nonperiodic microstructure

Vittorio Gusella and Federico Cluni

Vol. 1 (2006), No. 2, 357–386

DOI: 10.2140/jomms.2006.1.357

Abstract

The purpose of this paper is to illustrate a method for homogenizing masonry with a nonperiodic microstructure. The proposed approach is based on the concept of the representative volume element and on the finite-size test-window method. First, the peculiarities of masonry as a composite continuum are highlighted. Then, the heterogeneity of the microstructure (elements and texture) is modeled by statistical descriptors. To improve the classical test-window method a probabilistic convergence criterion is coupled with the well-known mechanical convergence criterion. Both criteria must be met in order to check the convergence of the material window with the statistically equivalent representative volume element. An application shows the effectiveness of the proposed approach.

Keywords

masonry, random heterogeneous material, homogenization

Milestones

Received: 2 November 2005

Revised: 17 December 2005

Accepted: 22 December 2005

Published: 1 June 2006

Authors

Vittorio Gusella
Department of Civil and Environmental Engineering University of Perugia Via G. Duranti Perugia 06125 Italy

Federico Cluni
Via Cima 36 fraz. Cerqueto Marsciano (PG) 06052 Italy

Vol. 1, No. 2, 2006

Vittorio Gusella and Federico Cluni

Abstract

Keywords

Milestones

Authors