Article / članak 06
Overview of approaches to numerical modeling of masonry structures
Pregled pristupa numeričkom modeliranju zidanih građevina
 authors / autori 
 Sara Vaing, dr. sc. Maja Baniček, prof. dr. sc. Josip Atalić 
  
 DOI 
 https://doi.org/10.5592/CO/PhDSym.2025.06 
 keywords / ključne riječi 
 unreinforced masonry structures, modelling uncertainty, equivalent frame approach, OpenSees, out-of-plane failure 
 zidane građevine, nesigurnosti pri modeliranju, metoda ekvivalentnih okvira, OpenSees, otkazivanje izvan ravnine 
 page range in publication / raspon stanica 
 59 - 72 
  
 publish date / datum publikacije 
 11/9/2025 
  
 abstract / sažetak 
 Historic masonry buildings are highly vulnerable to seismic actions and significantly contribute to overall seismic risk. Accurate assessment of their seismic response requires nonlinear analysis, which is heavily influenced by modeling uncertainties, especially epistemic ones that are often overlooked. This paper reviews various modeling approaches, highlighting their advantages and limitations, with a focus on the equivalent frame method as the most widely used. Most methods do not account for out-of-plane failure, whereas the equivalent frame method incorporates a macroelement that captures both in-plane and out-of-plane behavior of masonry elements. This element is implemented in the open-source software framework OpenSees, which, despite some limitations, remains one of the most advanced tools for performing nonlinear seismic analysis of structural and geotechnical systems. 
 Povijesne zidane građevine iznimno su osjetljive na potresna djelovanja i znatno pridono-se ukupnom potresnom riziku. Za pouzdaniju procjenu ponašanja pri djelovanju potresa koristimo nelinearne proračune, pri čemu veliku ulogu imaju nesigurnosti u modeliranju, osobito epistemičke, koje se često zanemaruju. U radu se analiziraju različite metode modeliranja, s naglaskom na metodu ekvivalentnih okvira kao najrašireniju. Većina metoda ne uključuje otkazivanja izvan ravnine, dok se kod ekvivalentnih okvira koristi makroelement koji obuhvaća ponašanje u i izvan ravnine. Taj je element implementiran u OpenSees, napredni alat otvorenog koda za nelinearne seizmičke analize.