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A double-strut macro-modelling approach for the in-plane analysis of masonry infilled RC frames with openings

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Abstract

Based on experiments and micro-modelling analyses, the interaction between the RC frame and the infill wall with/without openings under lateral loads was investigated. According to the load transmission mechanism and the stress states around the openings, a macro-model with multiple blocks around the opening was proposed. In a comparison with the experimental data, the proposed macro-model was proven to adequately simulate the different failure modes and hysteretic behaviours of masonry infilled RC frames with openings. By using the opening rate and opening position as variables, 52 macro-modelling analyses of masonry infilled RC frames with different window and door openings were carried out. The results showed that the presence of masonry infill walls greatly increased the initial stiffness and ultimate load bearing capacities of single-story, single-bay RC frame structures. A larger opening rate resulted in lower initial stiffness and ultimate load-carrying capacity values, which decreased more as the opening locations deviated further from the centre to the sides.

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Data availability

The datasets generated during and analysed during the current study are available from the corresponding author on reasonable request.

References

  • Abaqus Analysis User's Guide (2016) http://wufengyun.com:888/books/usb/default.htm

  • Ali M, Mohammad SM, Mohammad K et al (2018) Analytical estimation of lateral resistance of low-shear strength masonry infilled reinforced concrete frames with openings. Struct Des Tall Spec Build 27(6):1–13

    Google Scholar 

  • Alwashali H, Torihata Y, Jin K, Maeda M (2018) Experimental observations on the in-plane behaviour of masonry wall infilled RC frames; focusing on deformation limits and backbone curve. Bull Earthq Eng 16:1373–1397

    Article  Google Scholar 

  • Alwashali H, Sen D, Jin K et al (2019) Experimental investigation of influences of several parameters on seismic capacity of masonry infilled reinforced concrete frame. Eng Struct 189:11–24

    Article  Google Scholar 

  • Asteris PG (2003) Lateral stiffness of brick masonry infilled plane frames. J Struct Eng 129(8):1071–1079

    Article  Google Scholar 

  • Asteris PG, Antoniou ST, Sophianopoulos DS et al (2011) Mathematical macromodeling of infilled frames: state of the art. J Struct Eng 137(12):1508–1517

    Article  Google Scholar 

  • Asteris PG, Repapis CC, Cavaleri L et al (2015a) On the fundamental period of infilled RC frame buildings. Struct Eng & Mech 54(6):1175–1200

    Article  Google Scholar 

  • Asteris PG, Repapis CC, Tsaris AK et al (2015b) Parameters affecting the fundamental period of infilled RC frame structures. Earth Struct 9(5):999–1028

    Article  Google Scholar 

  • Asteris PG, Cavaleri L, Di Trapani F et al (2016) A macro-modelling approach for the analysis of infilled frame structures considering the effects of openings and vertical loads. Struct Infrast Eng 12(5):551–566

    Article  Google Scholar 

  • Asteris PG, Cavaleri L, Di Trapani F et al (2017a) Numerical modelling of out-of-plane response of infilled frames: State of the art and future challenges for the equivalent strut macromodels. Eng Struct 132:110–122

    Article  Google Scholar 

  • Asteris PG, Repapis CC, Repapi EV et al (2017b) Fundamental period of infilled reinforced concrete frame structures. Struct Infrastruct Eng 13(7):929–941

    Article  Google Scholar 

  • Basha SH, Surendran S, Kaushik HB (2020) Empirical models for lateral stiffness and strength of masonry infilled RC frames considering the influence of openings. J Struct Eng 146(4): 04020021–1-21

  • Braga F, Manfredi V, Masi A et al (2011) Performance of non-structural elements in RC buildings during the L’ Aquila, 2009 earthquake. Bull Earthq Eng 9(1):307–324

    Article  Google Scholar 

  • Caliò I, Pantò B (2014) A macro-element modelling approach of infilled frame structures. Comput Struct 143:91–107

    Article  Google Scholar 

  • Carter C, Mallick DV, Smith BS (1970) A method of analysis for infilled frames. Proc Institution Civ Eng 46(2):229–231

    Article  Google Scholar 

  • Cavaleri L, Di Trapani F (2014) Cyclic response of masonry infilled RC frames: Experimental results and simplified modeling. Soil Dyn Earthq Eng 65:224–242

    Article  Google Scholar 

  • CEN (2003) Eurocode 8: design of structures for earthquake resistance—part 1: general rules, seismic actions and rules for buildings; European Committee for Standardization: Brussels, Belgium

  • Chaker AA, Sherifati A (1999) Influence of masonry infill panels on the vibration and stiffness characteristics of R/C frame buildings. Earthq Eng Struct Dyn 28(9):1061–1065

    Article  Google Scholar 

  • Crisafulli FJ, Carr AJ (2007) Proposed macro-model for the analysis of infilled frame structures. Bull N Z Natl Soc Earthq Eng 40(2):69–77

    Google Scholar 

  • Crisafulli FJ, Carr AJ, Park R (2000) Analytical modelling of infilled frame structures—a general review. Bull N Z Natl Soc Earthq Eng 33(1):30–47

    Google Scholar 

  • CSA S304.1-04 (2004) Design of masonry structures. Canadian Standards Association, 5060 Spectrum Way, Suite 100, Ontario, Canada

  • Dafnis A, Kolsch H, Reimerdes HG (2002) Arching in masonry walls subjected to earthquake motions. J Struct Eng 128(2):153–159

    Article  Google Scholar 

  • Dautaj AD, Kadiri Q, Kabashi N (2018) Experimental study on the contribution of masonry infill in the behavior of RC frame under seismic loading. Eng Struct 165:27–37

    Article  Google Scholar 

  • Davorin P, Vasilis S, Ivica K et al (2018) Contribution of RC columns and masonry wall to the shear resistance of masonry infilled RC frames containing different in size window and door openings. Eng Struct 172:105–130

    Article  Google Scholar 

  • De Risi MT, Del Gaudio C, Ricci P, Verderame GM (2018) In-plane behaviour and damage assessment of masonry infills with hollow clay bricks in RC frames. Eng Struct 168:257–275

    Article  Google Scholar 

  • Decanini LD, Liberatore L, Mollaioli F (2014) Strength and stiffness reduction factors for infilled frames with openings. Earthq Eng Eng Vib 13(3):437–454

    Article  Google Scholar 

  • Dias-Oliveira J, Rodrigues H, Asteris PG, Varum H (2022) On the seismic behavior of masonry infilled frame structures. Buildings 12(8):1146

    Article  Google Scholar 

  • El-Dakhakhni WW, Elgaaly M, Hamid AA (2003) Three-strut model for concrete masonry infilled steel frames. J Struct Eng 129(2):177–185

    Article  Google Scholar 

  • FEMA (1997) NEHRP commentary on the guidelines for the seismic rehabilitation of buildings; FEMA-274; Applied Technology Council: Washington, DC, USA

  • FEMA (2000) Prestandard and commentary for the seismic rehabilitation of buildings; Federal Emergency Management Agency: Washington, DC, USA

  • Fiore A, Netti A, Monaco P (2012) The influence of masonry infill on the seismic behavior of RC frame buildings. Eng Struct 44:133–145

    Article  Google Scholar 

  • Galvis F, Miranda E, Heresi P et al (2017) Preliminary Statistics of Collapsed Buildings in Mexico City in the September 19, 2017 Puebla-Morelos Earthquake

  • GB 50003 (2011) Code for design of masonry structures. China Building Industry Press. Beijing

  • GB 50010 (2010) Code for design of concrete structures. China Building Industry Press, Beijing

  • Holmes M (2015) Steel frames with brickwork and concrete infilling. Proc Inst Civ Eng 19(4):473–478

    Google Scholar 

  • Hyndman RJ, Koehler AB (2006) Another look at measures of forecast accuracy. Int J Forecast 22(4):679–688

    Article  Google Scholar 

  • JGJ/T 14 (2011) Technical specification for concrete small-sized hollow block masonry building

  • Kakaletsis DJ, KaRayannis CG (2008) Influence of masonry strength and openings on infilled RC frames under cycling loading. J Earthq Eng 12(2):197–221

    Article  Google Scholar 

  • Kam WY, Pampanin S, Dhakal RP et al (2010) Seismic performance of reinforced concrete buildings in the 4th september 2010 darfield (canterbury) earthquake. Bull N Z Natl Soc Earthq Eng 43(4):340–350

    Google Scholar 

  • Koutromanos I, Stavridis A, Shing PB, Willam K (2011) Numerical modeling of masonry infilled RC frames subjected to seismic loads. Comput Struct 89(11–12):1026–1037

    Article  Google Scholar 

  • Liberatore L, Noto F, Mollaioli F et al (2017) Comparative assessment of strut models for the modelling of in-plane seismic response of infill walls. In: 6th international conference on computational methods in structural dynamics and earthquake engineering

  • Maidiawati TJ, Hayati Y et al (2019) Experimental investigation of seismic performance of reinforced brick masonry infilled reinforced concrete frames with a central opening. Inter J GEOMATE 16(57):35–41

    Article  Google Scholar 

  • Mainstone RJ, Weeks GA (1972) The influence of a bounding frame on the racking stiffness and strengths of brick walls. Building Research Station

  • Mander J B, Nair, et al (1993) An experimental study on the seismic performance of brick-infilled steel frames with and without retrofit. Technical Report No. nceer-93–0001, State University of New York at Buffalo, New York, USA

  • Mansouri A, Marefat MS, Khanmohammadi M (2015) Experimental evaluation of seismic performance of low-shear strength masonry infills with openings in reinforced concrete frames with deficient seismic details. Struct Des Tall Spec Build 23(15):1190–1210

    Article  Google Scholar 

  • Mbewe PBK, Zijl GV (2018) A simplified non-linear structural analysis of reinforced concrete frames with masonry infill subjected to seismic loading. Eng Struct 177:630–640

    Article  Google Scholar 

  • McKenna F (2011) OpenSees: a framework for earthquake engineering simulation. Comput Sci Eng 13(4):58–66

    Article  Google Scholar 

  • Mehrabi AB, Benson SP, Schuller MP et al (1996) Experimental evaluation of masonry infilled RC frames. J Struct Eng 122(3):228–237

    Article  Google Scholar 

  • Milanesi RR, Morandi P, Magenes et al (2018) Local effects on RC frames induced by AAC masonry infills through fem simulation of in-plane tests. Bull Earthq Eng 16:4053–4080

    Article  Google Scholar 

  • Miyamoto HK, Gilani AS, Wada A (2008) Reconnaissance report of the 2008 Sichuan earthquake, damage survey of buildings and retrofit options. In: The 14th world conference on earthquake engineering, Beijing

  • Mohamed HM, Romao X (2018) Performance analysis of a detailed FE modelling strategy to simulate the behaviour of masonry infilled RC frames under cyclic loading. Earthq Struct 14(6):551–565

    Google Scholar 

  • Mohamed H, Romao X (2020) Analysis of the performance of strut models to simulate the seismic behaviour of masonry infills in partially infilled RC frames. Eng Struct 222:111124

    Article  Google Scholar 

  • Mohamed H, Romao X (2021) Robust calibration of macro-models for the in-plane behavior of masonry infilled RC frames. J Earthq Eng 25(3):407–433

    Article  Google Scholar 

  • Mohyeddin A, Goldsworthy HM, Gad EF (2013) FE modelling of RC frames with masonry infill panels under in-plane and out-of-plane loading. Eng Struct 51:73–87

    Article  Google Scholar 

  • NBC 201 Nepal National Building Code Mandatory Rules of Thumb for Reinforced Concrete Buildings with Masonry Infill [S] (1994) Ministry of Physical Planning and Works, Kathmandu, Nepal

  • Ning N, Ma ZJ, Zhang P et al (2019) Influence of masonry infills on seismic response of RC frames under low frequency cyclic load. Eng Struct 183:70–82

    Article  Google Scholar 

  • Noh NM, Liberatore L, Mollaioli F et al (2017) Modelling of masonry infilled RC frames subjected to cyclic loads: state of the art review and modelling with OpenSees. Eng Struct 150:599–621

    Article  Google Scholar 

  • NZSEE Recommendations (2006) Assessment and improvement of the structural performance of buildings in earthquakes. Study Group on Earthquake Risk Buildings

  • Pantò B, Caliò I, Lourenço PB (2018) A 3D discrete macro-element for modelling the out-of-plane behaviour of infilled frame structures. Eng Struct 175:371–385

    Article  Google Scholar 

  • Papia M, Cavaleri L, Fossetti M (2003) Infilled frames: developments in the evaluation of the stiffening effect of infills. Struct Eng Mech 16(6):675–693

    Article  Google Scholar 

  • Pavone L (2014) Effect of window openings on reinforced concrete frames with masonry infill. Technical report of NESS, University of Illinois at Urbana-Champaign, Illinois, USA

  • Ricci P, De Risi MT, Verderame GM, Manfredi G (2013) Influence of infill distribution and design typology on seismic performance of low-and mid-rise RC buildings. Bull Earthq Eng 11(5):1585–1616

    Article  Google Scholar 

  • Sattar S (2013) Influence of masonry infill walls and other building characteristics on seismic collapse of concrete frame buildings. PhD Thesis, University of Colorado Boulder, Colorado, USA

  • Sattar S, Liel AB (2016) Seismic performance of nonductile reinforced concrete frames with masonry infill walls—I: development of a strut model enhanced by finite element models. Earthq Spectra 32(2):795–818

    Article  Google Scholar 

  • Shing PB, Lofti HR, Barzegarmehrabi A et al (1992) Finite element analysis of shear resistance of masonry wall panels with and without confining frames. In: Proceedings of the 10th world conference on earthquake engineering 1992, pp 2581–2586

  • Singh Y, Das D (2006) Effect of URM infills on seismic performance of RC frame buildings. Proc., 4th Int. Conf. on Earthquake Engineering, Center for Urban Earthquake Engineering (CUEE), Tokyo

  • Stavridis A (2010) Analytical and experimental study of seismic performance of reinforced concrete frames infilled with masonry walls. University of California, San Diego

    Google Scholar 

  • Tasnimi AA, Mohebkhah A (2011) Investigation on the behavior of brick-infilled steel frames with openings, experimental and analytical approaches. Eng Struct 33(3):968–980

    Article  Google Scholar 

  • Thiruvengadam V (1985) On the natural frequencies of infilled frames. Earthq Eng Struct Dyn 13(3):401–419

    Article  Google Scholar 

  • TMS 402, Building Code Requirements for Masonry Structures (TMS 402-13/ACI 530-13/ASCE 5-13) (2013) The Masonry Society, Boulder, Colorado; the American Concrete Institute, Farmington Hills, Michigan; and the American Society of Civil Engineers, Reston, Virginia

  • Yáñez F, Astroza M, Holmberg A et al (2004) Behavior of confined masonry shear walls with large openings. In: The 13th world conference on earthquake engineering, Vancouver, B.C., Canada, August 1-6, 2004, No. 3438

  • Yekrangnia M, Asteris PG (2020) Multi-strut macro-model for masonry infilled frames with openings. J Building Eng 32:101683

    Article  Google Scholar 

  • Zhai C, Kong J et al (2016) Experimental and finite element analytical investigation of seismic behavior of full-scale masonry infilled RC frames. J Earthq Eng 20(7):1171–1198

    Article  Google Scholar 

Download references

Funding

This work was funded by Scientific Research Fund of National Natural Science Foundation of China (Grant Nos. 51978220, 51808478). All the opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect those of the Foundations.

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Authors and Affiliations

  1. School of Civil Engineering, Harbin Institute of Technology, Harbin, 150090, China

    Mingming Jia & Jinfeng Wu

  2. School of Civil Engineering, Yantai University, Yantai, 264005, China

    Jingchang Kong

  3. Key Lab of Structures Dynamic Behavior and Control of the Ministry of Education (Harbin Institute of Technology), Harbin, 150090, China

    Mingming Jia

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  1. Mingming Jia
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Contributions

MJ: Conceptualization, Methodology, Formal analysis, Investigation, Writing—original draft. JK: Conceptualization, Methodology, Formal analysis, Investigation, Visualization, Writing—original draft. JW: Validation, Investigation, Writing—review & editing.

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Correspondence to Jingchang Kong.

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Jia, M., Kong, J. & Wu, J. A double-strut macro-modelling approach for the in-plane analysis of masonry infilled RC frames with openings. Bull Earthquake Eng 22, 2469–2504 (2024). https://doi.org/10.1007/s10518-024-01860-w

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