0507079 20240103222340.120190731235959.9 85044481731 000432510300024 10.1016/j.euromechsol.2017.12.002 16 s. P cav_un_epca*02565670997-7538701 (2018)280-295Elsevier Wang tiling Numerical homogenization Representative Volume Element size cav_un_auth*0377780 25 Doskar M. CZ K cav_un_auth*0357917 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR 25 Zeman Jan UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0377781 25 Jaruskova D. CZ cav_un_auth*0022360 25 Novák J. CZ http://library.utia.cas.cz/separaty/2019/MTR/zeman-0507079.pdf https://www.sciencedirect.com/science/article/pii/S0997753817305673 cav_un_auth*0347023 GA17-04301S GA ČR Wang tile based representation of a heterogeneous material facilitates fast synthesis of non-periodic microstructure realizations. In this paper, we apply the tiling approach in numerical homogenization to determine the Representative Volume Element size related to the user-defined significance level and the discrepancy between bounds on the apparent properties. First, the tiling concept is employed to efficiently generate arbitrarily large, statistically consistent realizations of investigated microstructures. Second, benefiting from the regular structure inherent to the tiling concept, the Partition theorem, and statistical sampling, we construct confidence intervals of the apparent properties related to the size of a microstructure specimen. Based on the interval width and the upper and lower bounds on the apparent properties, we adaptively generate additional microstructure realizations in order to arrive at an RVE satisfying the prescribed tolerance. The methodology is illustrated with the homogenization of thermo-mechanical properties of three two-dimensional microstructure models: a microstructure with mono-disperse elliptic inclusions, foam, and sandstone. WOS BA 10000 10100 10103 2020 4 RVO:67985556 http://hdl.handle.net/11104/0298166 S 2 Article Mechanics C MECHANICS 3.034 1.106 6.9 0.00682 0.788 4737 1.389 2.685 151 Q1 60.886 81 Q2 Q1 1.1 Q1 80.97 2018 85044481731 SCOPUS PUBMED 000432510300024 WOS cav_un_epca*0256567 European Journal of Mechanics A-Solids 0997-7538 1873-7285 Roč. 70 č. 1 2018 280 295 Elsevier