Abstract
The paper reviews several topics associated with the homogenization of transport processed in historical ma-sonry structures. Since these often experience an irregular or random pattern, we open the subject by summarizing essen-tial steps in the formulation of a suitable computational model in the form of Statistically Equivalent Periodic Unit Cell (SEPUC). Accepting SEPUC as a reliable representative volume element is supported by application of the Fast Fourier Transform to both the SEPUC and large binary sample of real masonry in search for effective thermal conductivities lim-ited here to a steady state heat conduction problem. Fully coupled non-stationary heat and moisture transport is addressed next in the framework of two-scale first-order homogenization approach with emphases on the application of boundary and initial conditions on the meso-scale.
Highlights
Advanced computational simulations of historic structures are becoming increasingly common in the assessment of their existing state and in planning of reconstruction measures [1]
This issue is addressed in the second part of this paper, Section 3, with particular attention dedicated to the influence of loading and initial conditions imposed on the meso-scale
While the evolution trend is similar to the results presented in Fig. (8) for Periodic Unit Cell (PUC), the time to attain steady state solution slightly increases
Summary
Advanced computational simulations of historic structures are becoming increasingly common in the assessment of their existing state and in planning of reconstruction measures [1]. A convenient approach to overcome this difficulty was introduced by Povirk [13], who suggested to replace the original complex meso-structure with an idealized PUC, with parameters determined by matching spatial statistics of original and simplified representation By combining his ideas with related works on microstructure reconstruction, e.g. To show that in some cases this step might be avoided by running the meso-scale analysis under steady state conditions [21] even for a finite size RVE may prove useful in keeping the computational cost relatively low This issue is addressed in the second part of this paper, Section 3, with particular attention dedicated to the influence of loading and initial conditions imposed on the meso-scale
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