Benchmarking the seismic assessment of unreinforced masonry buildings from a blind prediction test

Abstract This paper presents a benchmark exercise for the seismic assessment of unreinforced masonry (URM) buildings as a follow-up of a blind prediction test organized in the context of the European Conference of Earthquake Engineering Series. The blind prediction exercise was aimed at better defining the open issues in current procedures for modeling and performing seismic analysis of URM buildings, by highlighting the uncertainty that can influence the results. This work presents an overview of the approaches used by different research teams and the scope of predictions. The benchmark structure was a three-story building with traditional European architecture from which two Cases were considered: A) stone masonry walls and flexible horizontal diaphragms and B) brick masonry walls and rigid horizontal diaphragms. A wide range of approaches was used by the participating teams concerning modeling strategies, methods of analysis and criteria for the attainment of limit states, which are here addressed as potential sources for the dispersion of predictions. The results were compared in terms of capacity curves, predicted failure mechanisms compatible with the fulfillment of limit states of near collapse and damage limitation, and related minimum values of peak ground acceleration (PGA). The results show an overall good agreement for damage patterns and collapse mechanisms in both benchmark structures, presenting some differences in the type of failure mode and its extent. However, the scatter of predicted capacity curves and critical PGAs is very high, especially for the Case with brick masonry and rigid diaphragms, indicating that clearer procedures in the building codes are required for professionals.

[1]  Kimiro Meguro,et al.  APPLIED ELEMENT METHOD FOR STRUCTURAL ANALYSIS , 2000 .

[2]  Guido Magenes,et al.  Consideration of modelling uncertainties in the seismic assessment of masonry buildings by equivalent-frame approach , 2015, Bulletin of Earthquake Engineering.

[3]  P. Lourenço,et al.  Pushover analysis of unreinforced irregular masonry buildings: Lessons from different modeling approaches , 2020 .

[4]  Serena Cattari,et al.  Modeling Strategies for the Computational Analysis of Unreinforced Masonry Structures: Review and Classification , 2019, Archives of Computational Methods in Engineering.

[5]  A. W. Beeby,et al.  Designers Guide to EN 1992-1-1 and EN 1992-1-2 Eurocode 2: Design of Concrete Structures. General rules and rules for buildings and structural fire design , 2005 .

[6]  Andrea Penna,et al.  Equivalent-Frame Modeling of Two Shaking Table Tests of Masonry Buildings Accounting for Their Out-Of-Plane Response , 2020, Frontiers in Built Environment.

[7]  Miguel Cervera,et al.  Structural Analysis of Masonry Historical Constructions. Classical and Advanced Approaches , 2010 .

[8]  P. Lourenço Computational strategies for masonry structures : Proefschrift , 1996 .

[9]  E. Spacone,et al.  Effects of the vertical seismic component on seismic performance of an unreinforced masonry structures , 2019, Bulletin of Earthquake Engineering.

[10]  Paulo B. Lourenço,et al.  Possibilities and comparison of structural component models for the seismic assessment of modern unreinforced masonry buildings , 2011 .

[11]  Katrin Beyer,et al.  Review of strength models for masonry spandrels , 2013, Bulletin of Earthquake Engineering.

[12]  Serena Cattari,et al.  Masonry Italian Code-Conforming Buildings. Part 2: Nonlinear Modelling and Time-History Analysis , 2018, Journal of Earthquake Engineering.

[13]  P. Roca,et al.  Analysis of the performance in the linear field of Equivalent-Frame Models for regular and irregular masonry walls , 2017 .

[14]  Serena Cattari,et al.  PERPETUATE guidelines for seismic performance-based assessment of cultural heritage masonry structures , 2014, Bulletin of Earthquake Engineering.

[15]  Katrin Beyer,et al.  Estimates for the stiffness, strength and drift capacity of stone masonry walls based on 123 quasi-static cyclic tests reported in the literature , 2017, Bulletin of Earthquake Engineering.

[16]  Michele Betti,et al.  Time-History Seismic Analysis of Masonry Buildings: A Comparison between Two Non-Linear Modelling Approaches , 2015 .

[17]  Serena Cattari,et al.  Seismic Performance of Historical Masonry Structures Through Pushover and Nonlinear Dynamic Analyses , 2015 .

[18]  Paulo B. Lourenço,et al.  Experimental investigation on the seismic performance of masonry buildings using shaking table testing , 2013, Bulletin of Earthquake Engineering.

[19]  M. Fardis,et al.  Designer's guide to EN 1998-1 and en 1998-5 Eurocode 8: Design of structures for earthquake resistance; general rules, seismic actions, design rules for buildings, foundations and retaining structures/ M.Fardis[et al.] , 2005 .

[20]  L. Sorrentino,et al.  Effects of coseismic ground vertical motion on masonry constructions damage during the 2016 Amatrice-Norcia (Central Italy) earthquakes , 2019, Soil Dynamics and Earthquake Engineering.

[21]  Roberto T. Leon,et al.  Lateral Load Tests on a Two-Story Unreinforced Masonry Building , 2006 .

[22]  Gianni Bartoli,et al.  Epistemic Uncertainties in Structural Modeling: A Blind Benchmark for Seismic Assessment of Slender Masonry Towers , 2017 .

[23]  R. Vitaliani,et al.  An orthotropic damage model for masonry structures , 2002 .

[24]  S. Cattari,et al.  Sensitivity analysis for setting up the investigation protocol and defining proper confidence factors for masonry buildings , 2014, Bulletin of Earthquake Engineering.

[25]  Serena Cattari,et al.  Masonry Italian Code-Conforming Buildings. Part 1: Case Studies and Design Methods , 2018 .

[26]  Serena Cattari,et al.  TREMURI program: An equivalent frame model for the nonlinear seismic analysis of masonry buildings , 2013 .

[27]  Charlotte Knox,et al.  Assessment of Perforated Unreinforced Masonry Walls Responding In-Plane , 2012 .

[28]  Paulo B. Lourenço,et al.  Benchmarking of commercial software for the seismic assessment of masonry buildings , 2008 .

[29]  Jacques Heyman,et al.  The stone skeleton , 1995 .

[30]  C. F. Carocci,et al.  Buildings Behavior in the Urban Fabric: The Knowledge Issue in the Post-Earthquake Reconstruction Plans , 2014 .

[31]  Enrico Quagliarini,et al.  Uses and limits of the Equivalent Frame Model on existing unreinforced masonry buildings for assessing their seismic risk: A review , 2017 .

[32]  Serena Cattari,et al.  In‐plane strength of unreinforced masonry piers , 2009 .

[33]  Fabio Selleri,et al.  Analisi sismica degli edifici in muratura: un modello semplificato a macroelementi , 2004 .

[34]  Gian Michele Calvi,et al.  Cyclic behaviour of brick masonry walls , 1992 .

[35]  M. Dolce Schematizzazione e modellazione degli edifici in muratura soggetti ad azioni sismiche , 1991 .

[36]  Katrin Beyer,et al.  Quasi-Static Cyclic Tests on Masonry Spandrels , 2012 .

[37]  A. Viskovic,et al.  Analyses Of A Masonry Wall Subjected To Horizontal Actions On Its Plane, Employing A Non-linear Procedure Using Changing Shape Finite Elements , 1970 .

[38]  A. Penna,et al.  Simulating the shake table response of unreinforced masonry cavity wall structures tested to collapse or near-collapse conditions , 2020 .

[39]  Siro Casolo,et al.  Rigid element model for in‐plane dynamics of masonry walls considering hysteretic behaviour and damage , 2007 .

[40]  Bartolomeo Pantò,et al.  A new discrete element model for the evaluation of the seismic behaviour of unreinforced masonry buildings , 2012 .