1,720,988 research outputs found

    Random Field And Homogenization For Masonry With Nonperiodic Microstructure

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    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 approac

    Estimation of residuals for the homogenized solution of quasi-periodic media

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    In this work we analyze the convergence of the elastic coefficients in terms of the residuals as the dimensions of the sample of a random two-dimensional medium vary. In particular, the case of the masonry material which can be considered a heterogeneous solid with two phases (stones or bricks and mortar) is taken into account. In particular, we consider a masonry which presents a quasi-periodic micro-structure. A procedure of numerical generation of wall portions has been developed which takes into account not only the scale ratio but also the mechanical ratio and the geometrical ratio. The convergence of residuals has been highlighted in terms of probability density function and statistical moments, up to the second order, of the stiffness coefficients and of the log-Euclidean distance between the masonry samples and the closest isotropic material
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