RESEARCH ARTICLE


Selected Topics in Homogenization of Transport Processes in Historical Masonry Structures



Jan Sykoraa, Jan Zemana, b, Michal Ŝejnoha*, a
a Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, 166 29 Prague 6, Czech Republic
b Centre of Excellence IT4Innovations, VŠB-TU Ostrava, 17. listopadu 15/2172 708 33 Ostrava-Poruba, Czech Republic


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Creative Commons License
© 2012 Sykora et al;

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the CTU in Prague, Faculty of Civil Engineering, Department of mechanics, Thakurova 7, 16629, Praha 6, Czech Republic; Tel: +420224354494; Fax: +420224310775; E-mail: sejnom@fsv.cvut.cz


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.

Keywords: Random masonry, Binary images, Statistically equivalent periodic unit cell, Computational homogenization, Fast Fourier Transform, Coupled heat and moisture transport.