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Simulating the damage of rubble stone masonry walls using FDEM with a detailed micro-modelling approach

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Abstract

Rubble stones are commonly found in many civil engineering components, such as foundations, walls. In general, rubble stone masonry walls are composed of irregular-shaped stone units and mortar. They are usually subjected to vertical and horizontal loads simultaneously and exhibit high degree of nonlinearity and discontinuity in service conditions. The combined finite-discrete element method (FDEM) was employed to investigate the mechanical behaviour of rubble stone masonry walls in this study. In order to overcome the disadvantages in both macro- and simplified micro-modelling, a detailed micro-modelling approach was utilised, i.e. stone, mortar and stone-mortar interface were considered explicitly, providing close approximation to physical structures. Stone units and mortar were discretised into linear triangular elements with finite element formulation incorporated in, and therefore, accurate estimate on structural deformation and contact forces can be obtained. Damage of rubble stone masonry was evaluated through cohesive fracture models. Numerical examples were validated, and further parametric discussions were performed. Influence of stone unit pattern, ratio of stone and strength of mortar on the failure behaviour of rubble stone masonry walls was revealed. A very good agreement between FDEM results and experimental data was observed. It was found that the higher the ratio of stone, the better the bearing capacity, and uniform-shaped stone units with regular distribution were recommended. In addition, use of mortar with both tensile and shear strengths higher than 0.2 MPa was suggested.

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References

  1. Milosevic J, Gago AS, Lopes M, Bento R (2013) Experimental assessment of shear strength parameters on rubble stone masonry specimens. Constr Build Mater 47:1372–1380

    Article  Google Scholar 

  2. de Vasconcelos GFM (2005) Experimental investigations on the mechanics of stone masonry: Characterization of granites and behavior of ancient masonry shear walls. PhD thesis. University of Minho, Portugal

  3. Pereira JM, Correia AA, Lourenço PB (2021) In-plane behaviour of rubble stone masonry walls: experimental, numerical and analytical approach. Constr Build Mater 271:121548

    Article  Google Scholar 

  4. Malomo D, DeJong MJ (2022) A macro-distinct element model (M-DEM) for simulating in-plane/out-of-plane interaction and combined failure mechanisms of unreinforced masonry structures. Earthq Eng Struct Dynam 51(4):793–811

    Article  Google Scholar 

  5. Lourenço PB (1996) Computational strategies for masonry structures. PhD thesis. Delft University of Technology, Netherlands

  6. Lourenço PB (2013) Computational strategies for masonry structures: multi-scale modelling, dynamics, engineering applications and other challenges. Congreso de Métodos Numéricos en Ingeniería, Bilbao, Spain

  7. Pelà L, Cervera M, Roca P (2013) An orthotropic damage model for the analysis of masonry structures. Constr Build Mater 41:957–967

    Article  Google Scholar 

  8. Roca P, Cervera M, Gariup G, Pela’ L (2010) Structural analysis of masonry historical constructions. Classical and advanced approaches. Arch Comput Methods Eng 17(3):299–325

    Article  Google Scholar 

  9. Lourenço PB, Rots JG (1997) Multisurface Interface Model for Analysis of Masonry Structures. J Eng Mech 123(7):660–668

    Article  Google Scholar 

  10. Senthivel R, Lourenço PB (2009) Finite element modelling of deformation characteristics of historical stone masonry shear walls. Eng Struct 31(9):1930–1943

    Article  Google Scholar 

  11. Shieh-Beygi B, Pietruszczak S (2008) Numerical analysis of structural masonry: mesoscale approach. Comput Struct 86(21–22):1958–1973

    Article  Google Scholar 

  12. Macorini L, Izzuddin BA (2011) A non-linear interface element for 3D mesoscale analysis of brick-masonry structures. Int J Numer Meth Eng 85(12):1584–1608

    Article  Google Scholar 

  13. Vandoren B, De Proft K, Simone A, Sluys LJ (2013) Mesoscopic modelling of masonry using weak and strong discontinuities. Comput Methods Appl Mech Eng 255:167–182

    Article  MathSciNet  Google Scholar 

  14. D’Altri AM, de Miranda S, Castellazzi G, Sarhosis V (2018) A 3D detailed micro-model for the in-plane and out-of-plane numerical analysis of masonry panels. Comput Struct 206:18–30

    Article  Google Scholar 

  15. Šejnoha J, Šejnoha M, Zeman J, Sýkora J, Vorel J (2008) Mesoscopic study on historic masonry. Struct Eng Mech 30(1):99–117

    Article  Google Scholar 

  16. Zhang S, Mousavi SMT, Richart N, Molinari J-F, Beyer K (2017) Micro-mechanical finite element modeling of diagonal compression test for historical stone masonry structure. Int J Solids Struct 112:122–132

    Article  Google Scholar 

  17. Zhang S, Beyer K (2019) Numerical investigation of the role of masonry typology on shear strength. Eng Struct 192:86–102

    Article  Google Scholar 

  18. Pulatsu B, Erdogmus E, Lourenço PB, Lemos JV, Hazzard J (2020) Discontinuum analysis of the fracture mechanism in masonry prisms and wallettes via discrete element method. Meccanica 55(3):505–523

    Article  MathSciNet  Google Scholar 

  19. Azevedo NM, Pinho FFS, Cismaşiu I, Souza M (2022) Prediction of rubble-stone masonry walls response under axial compression using 2D particle modelling. Buildings 12(8):1283

    Article  Google Scholar 

  20. Munjiza A (2004) The combined finite-discrete element method. John Wiley and Sons, Hoboken

    Book  Google Scholar 

  21. Munjiza A (1992) Discrete elements in transient dynamics of fractured media. PhD thesis, University of Wales, Swansea, UK

  22. Munjiza A, Knight EE, Rougier E (2011) Computational mechanics of discontinua. John Wiley and Sons, Hoboken

    Book  Google Scholar 

  23. Munjiza A, Rougier E, Knight EE (2015) Large strain finite element method: a practical course. John Wiley and Sons, Hoboken

    Google Scholar 

  24. Knight EE, Rougier E, Lei Z, Euser B, Chau V, Boyce SH, Gao K, Okubo K, Froment M (2020) HOSS: an implementation of the combined finite-discrete element method. Comput Part Mech 7(5):765–787

    Article  Google Scholar 

  25. Lei Z, Rougier E, Euser B, Munjiza A (2020) A smooth contact algorithm for the combined finite discrete element method. Comput Part Mech 7(5):807–821

    Article  Google Scholar 

  26. Lei Z, Bradley CR, Munjiza A, Rougier E, Euser B (2020) A novel framework for elastoplastic behaviour of anisotropic solids. Comput Part Mech 7(5):823–838

    Article  Google Scholar 

  27. Chen X, Chan AHC (2018) Modelling impact fracture and fragmentation of laminated glass using the combined finite-discrete element method. Int J Impact Eng 112:15–29

    Article  Google Scholar 

  28. Chen X, Chen X, Chan AHC, Cheng Y (2022) Parametric analyses on the impact fracture of laminated glass using the combined finite-discrete element method. Compos Struct 297:115914

    Article  Google Scholar 

  29. Chen X, Ou W, Fukuda D, Chan AHC, Liu H (2023) Three-dimensional modelling on the impact fracture of glass using a GPGPU-parallelised FDEM. Eng Fract Mech 277:108929

    Article  Google Scholar 

  30. Smoljanović H, Živaljić N, Nikolić Ž (2013) A combined finite-discrete element analysis of dry stone masonry structures. Eng Struct 52:89–100

    Article  Google Scholar 

  31. Smoljanović H, Nikolić Ž, Živaljić N (2015) A combined finite–discrete numerical model for analysis of masonry structures. Eng Fract Mech 136:1–14

    Article  Google Scholar 

  32. Smoljanović H, Nikolić Ž, Živaljić N (2015) A finite-discrete element model for dry stone masonry structures strengthened with steel clamps and bolts. Eng Struct 90:117–129

    Article  Google Scholar 

  33. Smoljanović H, Živaljić N, Nikolić Ž, Munjiza A (2018) Numerical analysis of 3D dry-stone masonry structures by combined finite-discrete element method. Int J Solids Struct 136–137:150–167

    Article  Google Scholar 

  34. Chen X, Wang H, Chan AHC, Agrawal AK (2020) Dynamic failure of dry-joint masonry arch structures modelled with the combined finite-discrete element method. Comput Part Mech 7(5):1017–1028

    Article  Google Scholar 

  35. Chen X, Wang H, Chan AHC, Agrawal AK, Cheng Y (2021) Collapse simulation of masonry arches induced by spreading supports with the combined finite–discrete element method. Comput Part Mech 8(4):721–735

    Article  Google Scholar 

  36. Chen X, Wang X, Wang H, Agrawal AK, Chan AHC, Cheng Y (2021) Simulating the failure of masonry walls subjected to support settlement with the combined finite-discrete element method. J Build Eng 43:102558

    Article  Google Scholar 

  37. Ou W, Chen X, Chan A, Cheng Y, Wang H (2022) FDEM simulation on the failure behavior of historic masonry heritages subjected to differential settlement. Buildings 12(10):1592

    Article  Google Scholar 

  38. Chen X, Ou W, Chan AHC, Liu H, Fukuda D (2024) Vulnerability of pointed masonry barrel vaults subjected to differential settlement simulated with a GPGPU-parallelized FDEM. Int J Appl Mech 15(7):2350059

    Article  Google Scholar 

  39. Chen X, Ou W, Chan AHC, Liu H, Fukuda D, Cheng Y (2024) Numerical analysis on the impact response of stone masonry arches with a GPGPU-parallelised FDEM. Comput Part Mech 11(1):405–418. https://doi.org/10.1007/s40571-023-00629-3

    Article  Google Scholar 

  40. Munjiza A, Smoljanović H, Živaljić N, Mihanovic A, Divić V, Uzelac I, Nikolić Ž, Balić I, Trogrlić B (2020) Structural applications of the combined finite–discrete element method. Comput Part Mech 7(5):1029–1046

    Article  Google Scholar 

  41. Munjiza A, John NWM (2002) Mesh size sensitivity of the combined FEM/DEM fracture and fragmentation algorithms. Eng Fract Mech 69(2):281–295

    Article  Google Scholar 

  42. Hillerborg A, Modéer M, Petersson P-E (1976) Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Concr Res 6(6):773–781

    Article  Google Scholar 

  43. Munjiza A, Andrews KRF, White JK (1999) Combined single and smeared crack model in combined finite-discrete element analysis. Int J Numer Meth Eng 44(1):41–57

    Article  Google Scholar 

  44. Hordijk DA (1992) Tensile and tensile fatigue behaviour of concrete; experiments, modelling and analyses. Heron 37(1):3–79

    Google Scholar 

  45. Zivaljic N, Smoljanovic H, Nikolic Z (2013) A combined finite-discrete element model for RC structures under dynamic loading. Eng Comput 30(7):982–1010

    Article  Google Scholar 

  46. Magenes G, Penna A, Galasco A, Rota M (2010) Experimental characterisation of stone masonry mechanical properties. In: Proceedings of the 8th international masonry conference, pp 247–256

  47. Pinho FFS, Lúcio VJG (2017) Rubble stone masonry walls in Portugal material properties, carbonation depth and mechanical characterization. Int J Archit Herit 11(5):685–702

    Google Scholar 

  48. Pinho FFS (2007) Ordinary masonry walls—experimental study with unstrengthened and strengthened specimens. PhD thesis, Universidade Nova de Lisboa, Lisbon (in Portuguese)

  49. Hamp E, Gerber R, Pulatsu B, Quintero MS, Erochko J (2022) Nonlinear seismic assessment of a historic rubble masonry building via simplified and advanced computational approaches. Buildings 12(8):1130

    Article  Google Scholar 

  50. Pinto APF, da Fonseca BS, Silva DV (2021) Mechanical characterization of historical rubble stone masonry and its correlation with the masonry quality assessment. Constr Build Mater 281:122168

    Article  Google Scholar 

Download references

Acknowledgements

This research was funded by the National Natural Science Foundation of China (No. 51808368) and Qinglan Project of Jiangsu Province of China. The authors highly appreciated the support on the FDEM from Professor A. Munjiza.

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Authors and Affiliations

  1. School of Civil Engineering, Suzhou University of Science and Technology, Suzhou, 215011, China

    Xudong Chen & Zigong Liang

  2. School of Engineering, University of Tasmania, Hobart, 7001, Australia

    Andrew H. C. Chan

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  1. Xudong Chen
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Chen, X., Liang, Z. & Chan, A.H.C. Simulating the damage of rubble stone masonry walls using FDEM with a detailed micro-modelling approach. Comp. Part. Mech. (2024). https://doi.org/10.1007/s40571-024-00757-4

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