Vol. 1, No. 2, 2006

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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

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.

masonry, random heterogeneous material, homogenization
Received: 2 November 2005
Revised: 17 December 2005
Accepted: 22 December 2005
Published: 1 June 2006
Vittorio Gusella
Department of Civil and Environmental Engineering
University of Perugia
Via G. Duranti
Perugia 06125
Federico Cluni
Via Cima 36
fraz. Cerqueto
Marsciano (PG) 06052