Abstract
The paper includes a case study of modelling a real historic church using the finite element method (FEM) based on laser scans of its geometry. The main goal of the study was the analysis of the causes of cracking and crushing of masonry walls. An FEM model of the structure has been defined in ABAQUS. A non-linear dynamic explicit analysis with material model including damage plasticity has been performed. A homogenization procedure has been applied to obtain the material parameters used in the modelling of masonry. In the numerical analysis, the interactions between the church structure, the foundations and the ground were taken into account. The obtained results match well with the damaged area of the entire structure from the in-situ survey, and it should be highlighted that the proposed FEM model allows for a rather precise identification of the causes and effects of cracking walls in a qualitative sense. Also a brief research summary is presented.
Citations
-
2 9
CrossRef
-
0
Web of Science
-
3 3
Scopus
Authors (3)
Cite as
Full text
- Publication version
- Accepted or Published Version
- License
- open in new tab
Keywords
Details
- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
-
ENGINEERING FAILURE ANALYSIS
no. 107,
pages 1 - 18,
ISSN: 1350-6307 - Language:
- English
- Publication year:
- 2020
- Bibliographic description:
- Kujawa M., Lubowiecka I., Szymczak C.: Finite element modelling of a historic church structure in the context of a masonry damage analysis// ENGINEERING FAILURE ANALYSIS -Vol. 107 , (2020), s.1-18
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.engfailanal.2019.104233
- Bibliography: test
-
- M. Valente, G. Milani, Non-linear dynamic and static analyses on eight historical masonry towers in the North-East of Italy, Eng. Struct. 114 (2016) 241-270. open in new tab
- L. Binda, A. Saisi, C. Tiraboschi, Investigation procedures for the diagnosis of historic masonries, Constr. Build. Mater. 14 (4) (2000) 199-233. open in new tab
- D. Laefer, L. Truong-Hong, H. Carr, M. Singh, International crack detection limits in unit based masonry with terrestrial laser scanning, NDT & E Int. 62 (2014) 66-76. open in new tab
- A. Tomaszewska, Influence of statistical errors on damage detection based on structural flexibility and mode shape curvature, Comput. Struct. 88 (2010) 154-164. open in new tab
- A. Tomaszewska, C. Szymczak, Identification of the Vistula Mounting tower model using measured modal data, Eng. Struct. 42 (2012) 342-348. open in new tab
- N. Grillanda, A. Chiozzi, F. Bondi, A. Tralli, F. Manconi, F. Stochino, A. Cazzani, Numerical insights on the structural assessment of historical masonry stellar vaults: the case of Santa Maria del Monte in Cagliari, Continuum Mech. Thermodyn. (2019) 1-24, https://doi.org/10.1007/s00161-019-00752-8. open in new tab
- L. Engel, Expertise of technical condition with the indication of causes of damage and assessment of already completed renovation work of gothic church of saints Simon and Jude in Gnojewo, Tech. rep., The Ministry of Culture and National Heritage, 2013.
- P. Besl, N. McKay, A method for registration of 3-D shapes, IEEE Trans. Pattern Anal. Mach. Intell. 14 (2) (1992) 239-256. open in new tab
- I. Lubowiecka, J. Armesto, P. Arias, H. Lorenzo, Historic bridge modelling using laser scanning, ground penetrating radar and finite element methods in the context of structural dynamics, Eng. Struct. 31 (11) (2009) 2667-2676. open in new tab
- G. Milani, A. Tralli, A simple meso-macro model based on SQP for the non-linear analysis of masonry double curvature structures, Int. J. Solid Struct. 49 (5) (2012) 808-834. open in new tab
- J. Toti, V. Gattulli, E. Sacco, Nonlocal damage propagation in the dynamics of masonry elements, Comput. Struct. 152 (2015) 215-227. open in new tab
- C. Tesei, G. Ventura, A unilateral nonlocal tensile damage model for masonry structures, Procedia Struct. Integr. 2 (2016) 2690-2697. open in new tab
- I. Marzec, J. Tejchman, Enhanced coupled elasto-plastic-damage models to describe concrete behaviour in cyclic laboratory tests: comparison and improvement, Arch. Mech. 64 (3) (2012) 227-259. open in new tab
- B. Riveiro, P. Morer, P. Arias, I. de Arteaga, Terrestrial laser scanning and limit analysis of masonry arch bridges, Constr. Build. Mater. 25 (4) (2011) 1726-1735. open in new tab
- I. Lubowiecka, P. Arias, B. Riveiro, M. Solla, Multidisciplinary approach to the assessment of historic structures based on the case of a masonry bridge in Galicia (Spain), Comput. Struct. 89 (17-18) (2011) 1615-1627. open in new tab
- A. Ayensa, B. Beltrán, E. Ibarz, L. Gracia, Application of a new methodology based on eurocodes and finite element simulation to the assessment of a romanesque church, Constr. Build. Mater. 101 (Part 1) (2015) 287-297. open in new tab
- C. Modena, M. Valluzzi, R.T. Folli, L. Binda, Design choices and intervention techniques for repairing and strengthening of the Monza cathedral bell-tower, Constr. Build. Mater. 16 (2002) 385-395. open in new tab
- G. Milani, M. Valente, Failure analysis of seven masonry churches severely damaged during the 2012 Emilia-Romagna (Italy) earthquake: non-linear dynamic analyses vs conventional static approaches, Eng. Fail. Anal. 54 (2015) 13-56. open in new tab
- B. Zimnowoda-Krajewska, R. Paszkowski, et al., Architectural study -Gnojewo, district Malbork, gothic church of saints Simon and Jude, Tech. rep., Nicolaus Copernicus University in Toruń, 2004.
- A. Pestka, P. Klosowski, I. Lubowiecka, M. Krajewski, Influence of wood moisture on strength and elastic modulus for pine and fir wood subjected to 4-point bending tests, in: Materials Science and Engineering, vol. 471, IOP Publishing, 2018, p. 032033. doi: https://doi.org/10.1088/1757899X/471/3/032033. open in new tab
- M. Solla, H. González-Jorge, M. Álvarez, P. Arias, Application of non-destructive geomatic techniques and FDTD modeling to metrical analysis of stone blocks in a masonry wall, Constr. Build. Mater. 36 (2012) 14-19. open in new tab
- M. Szyłański, Geotechnical documentation and engineering-geological documentation -the geotechnical evaluation of foundation conditions, Tech. rep., 2012.
- J. Bowles, Foundation Analysis and Design, The McGraw-Hill Companies Inc., 1997.
- J. Lopez, S. Oller, E. Oñate, J. Lubliner, A homogeneous constitutive model for masonry, Int. J. Numer. Meth. Eng. 46 (10) (1999) 1651-1671. open in new tab
- R. Quinteros, S. Oller, L. Nallim, Nonlinear homogenization techniques to solve masonry structures problems, Compos. Struct. 94 (2) (2012) 724-730. open in new tab
- P. Matysek, Remarks about estimating the strength of historic walls based on the strength of bricks and mortar, Mater. Budowlane 457 (9) (2010) 44-51.
- A. Cecchi, G. Milani, A. Tralli, Validation of analytical multiparameter homogenization models for out-of-plane loaded masonry walls by means of the finite element method, J. Eng. Mech. ASCE 131 (2) (2005) 185-198. open in new tab
- G. Milani, P. Lourenço, A. Tralli, Homogenised limit analysis of masonry walls, Part I: failure surfaces, Comput. Struct. 84 (3) (2019) 166-180. open in new tab
- G. Milani, Simple lower bound limit analysis homogenization model for in-and out-of-plane loaded masonry walls, Constr. Build. Mater. 25 (12) (2011) 4426-4443. open in new tab
- E. Bertolesi, G. Milani, P. Lourenço, Implementation and validation of a total displacement non-linear homogenization approach for in-plane loaded masonry, Comput. Struct. 176 (C) (2016) 13-33. open in new tab
- G. Milani, E. Bertolesi, Quasi-analytical homogenization approach for the non-linear analysis of in-plane loaded masonry panels, Constr. Build. Mater. 146 (2017) 723-743. open in new tab
- G. Milani, P. Lourenço, A simplified homogenized limit analysis model for randomly assembled blocks out-of-plane loaded, Comput. Struct. 88 (2010) 690-717. open in new tab
- S. Tiberti, M. Acito, G. Milani, Comprehensive FE numerical insight into Finale Emilia Castle behaviour under 2012 Emilia Romagna seismic sequence: damage causes and seismic vulnerability mitigation hypothesis, Eng. Struct. 117 (2016) 397-421. open in new tab
- S. Tiberti, G. Milani, 2D pixed homogenized limit analysis of non-periodic masonry walls, Comput. Struct. 219 (2019) 16-57. open in new tab
- O. Zienkiewicz, R. Taylor, The Finite Element Method, McGraw-Hill Book Company, 1989.
- D. Habbit, B. Karlsson, P. Sorensen, ABAQUS Analysis User's Manual, Hibbit, Karlsson, Sorensen Inc., 1997.
- A. Hillerborg, M. Modeer, P. Petersson, Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements, Cem. Concr. Res. 6 (6) (1976) 773-782. open in new tab
- J. Lubliner, J. Oliver, S. Oller, E. Oñate, A plastic-damage model for concrete, Int. J. Solids Struct. 25 (1998) 299-329. open in new tab
- J. Lee, G. Fenves, Plastic-damage model for cyclic loading of concrete structures, J. Eng. Mech. 124 (8) (1998) 892-900. open in new tab
- B. Alfarah, F. López-Almansa, S. Oller, New methodology for calculating damage variables evolution in plastic damage for RC structures, Eng. Struct. 132 (2017) 70-85. open in new tab
- M. Resta, A. Fiore, P. Monaco, Non-linear finite element analysis of masonry towers by adopting the damage plasticity constitutive model, Adv. Struct. Eng. 16 (5) (2013) 791-803. open in new tab
- B. Blackard, B. Kim, C. Citto, K. Willam, S. Mettupalayam, Failure issues of brick masonry, Proceedings of the Sixth International Conference on Fracture Mechanics of Concrete and Concrete Structures, 2007.
- J. Przewłócki, M. Zielińska, K. Grebowski, Numerical modelling of connections between stones in foundations of histrical buildings, WMESS, IOP Conf. Series, Earth and Environmental Science vol. 95, (2017). open in new tab
- N. Augenti, F. Parisi, Constitutive models for tuff masonry under uniaxial compression, J. Mater. Civ. Eng. ASCE 22 (11) (2010) 119-122. open in new tab
- P. Matysek, M. Witkowski, A study on the strength and deformability of XIX century brick masonry, in: XXVI Konferencja Naukowo-Techniczna, Awarie Budowlane, 2013, pp. 183-190. open in new tab
- M. Gołebiewski, I. Lubwiecka, M. Kujawa, Strength parameters of masonry walls in modelling historic constructions. Civil and Environmental Engineering Reports, vol. 18, 2015, pp. 55-63. open in new tab
- T. Jankowiak, T. Łodygowski, Identification of parameters of concrete damage plasticity constitutive model, Foundations of Civil and Environmental Engineering vol. 6, Publishing House of Poznań University of Technology, 2005. open in new tab
- J. Tejchman, J. Bobiński, Continuous and discontinuous modelling of fracture in concrete using FEM, Geomechanics & Geoengineering, Springer, 2013. open in new tab
- M. Kujawa, et al. Engineering Failure Analysis 107 (2020) 104233 open in new tab
- Sources of funding:
- Verified by:
- Gdańsk University of Technology
seen 266 times
Recommended for you
Multidisciplinary approach to the assessment of historic structures based on the case of a masonry bridge in Galicia (Spain)
- I. Lubowiecka,
- P. Arias,
- B. Riveiro
- + 1 authors