Bulletin of Earthquake Engineering

, Volume 10, Issue 1, pp 211–234 | Cite as

Calibration and application of a continuum damage model on the simulation of stone masonry structures: Gondar church as a case study

  • Bruno Silva
  • João M. Guedes
  • António Arêde
  • Aníbal Costa
Original Research Paper

Abstract

The conservation and rehabilitation of monuments is a matter of important investigation, and the need for accurate structural analysis, capable of effectively predicting the structural behaviour of this type of constructions, under static and dynamic loads, is increasing. Currently there are numerous computational methods and tools, supported by different theories and strategies with different levels of complexity, computation time and cost which are available to perform such analyses. A complex analysis is not always synonym of a better result and the choice of a method over another depends mostly on the purpose of the analysis. This work aims at evaluating the capacity of a non linear continuum damage model (Faria et al. in Int J Solids Struct 35(14):1533–1558, 1998), originally developed for concrete structures, to simulate the behaviour of stone masonry structures. In particular, the seismic response of an old stone masonry construction, the Gondar church, is analysed considering different levels of geometrical and material complexity. The verification and calibration procedures use the experimental results from tests performed on stone masonry walls at the Laboratory for Earthquake and Structural Engineering of the Faculty of Engineering of Porto University and from other tests found in the bibliography (Vasconcelos in Experimental investigations on the mechanics of stone masonry: Characterization of granites and behaviour of ancient masonry shear walls. PhD Thesis, Universidade do Minho, Guimarães, Portugal, 2005). The results are compared, assessing the differences and the importance of using complex tools, such as the continuum damage model, to better simulate and understand the global behaviour of such constructions.

Keywords

Stone masonry In-plane behaviour Numerical modelling Continuum damage model Sensitivity analysis Seismic analysis 

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References

  1. Autodesk Inc (2002) http://usa.autodesk.com. AutoCAD
  2. Berto L, Scotta R, Vitaliani V, Saetta A (2001) An orthotropic damage model for non linear masonry walls analysis: irreversible strain and friction effects. Structural Analysis of Historical Constructions, Guimarães, PortugalGoogle Scholar
  3. Betti M, Orlando M, Vignoli A (2006) Modelling and analysis of an italian castle under earthquake loading: diagnosis and strengthening. Structural Analysis of Historical Constructions, New DelhiGoogle Scholar
  4. Binda L, Modena C, Baronio G, Abbaneo S (1997) Repair and investigation techniques for stone masonry walls. Construct Build Mater 11(3): 133–142CrossRefGoogle Scholar
  5. Campos Costa, APN (1993) A acção dos sismos e o comportamento das estruturas. PhD Thesis, Departamento de Engenharia Civil, Faculdade de Engenharia da Universidade do Porto. Porto, PortugalGoogle Scholar
  6. CEA (1990) Visual Cast3M—Guide d’ utilisation, FranceGoogle Scholar
  7. CEN (2005) Eurocode 8: Design of structures for earthquake resistance. EN 1998 1:2005, Part 1Google Scholar
  8. Cervera, M (2003) Viscoelasticity and rate-dependent continuum damage models. Monograph M79, CIMNE. Barcelona, SpainGoogle Scholar
  9. Corradi M, Borri A, Vignoli A (2002) Strengthening techniques tested on masonry structures struck by the Umbria-Marche earthquake of 1997–1998. Construct Build Mater 16(4): 229–239CrossRefGoogle Scholar
  10. Corradi M, Borri A, Vignoli A (2003) Experimental study on the determination of strength of masonry walls. Construct Build Mater 17(5): 325–337CrossRefGoogle Scholar
  11. Costa C (2004) Implementação do modelo de dano em tracção e compressão com plasticidade no programa Cast3M, Laboratório ELSAGoogle Scholar
  12. Costa AA, Silva B, Costa A, Guedes J, Arêde A (2006) Structural behaviour of a masonry wall under horizontal cyclic load; experimental and numerical study. Structural Analysis of Historical Constructions, New DelhiGoogle Scholar
  13. Costa AA, Arêde A, Costa A, Oliveira CS (2010) In-situ cyclic tests on existing stone masonry walls and strengthening solutions. Earthq Eng Struct Dyn (in press)Google Scholar
  14. Faria R (1994) Avaliação do comportamento sísmico de barragens de betão através de um modelo de dano contínuo. PhD Dissertation, Departamento de Engenharia Civil, Faculdade de Engenharia da Universidade do Porto. Porto, PortugalGoogle Scholar
  15. Faria R, Oliver J, Cervera M (1998) A strain-based plastic viscous-damage model for massive concrete structures. Int J Solids Struct 35(14): 1533–1558CrossRefGoogle Scholar
  16. Gambarotta L, Lagomarsino S (1997) Damage models for the seismic response of brick masonry shear walls. Part I: the mortar joint model and its applications. Earthq Eng Struct Dyn 26: 423–439CrossRefGoogle Scholar
  17. Gambarotta L, Lagomarsino S (1997) Damage models for the seismic response of brick masonry shear walls. Part II: the continuum model and its applications. Earthq Eng Struct Dyn 26: 441–462CrossRefGoogle Scholar
  18. Lourenço PB, Rots JG (1997) A multi-surface interface model for the analysis of masonry structures. J Eng Mech ASCE 123(7): 660–668CrossRefGoogle Scholar
  19. Lourenço PB, de Borst R, Rots JG (1997) A plane stress softening plasticity model for orthotropic materials. Int J Numer Methods Eng 40: 4033–4057CrossRefGoogle Scholar
  20. Penazzi D, Valluzzi MR, Saisi A, Binda L, Modena C (2001) Repair and strengthening of historic masonry buildings in seismic areas. International Congress. More than Two Thousand Years in the History of Architecture Safeguarding the Structure of our Architectural Heritage, pp 1–6. Bethlehem, PalestineGoogle Scholar
  21. Roque JCA (2002) Reabilitação estrutural de paredes antigas de alvenaria. MSc Thesis, Universidade do Minho. Guimarães, PortugalGoogle Scholar
  22. Saetta A, Scotta R, Vitaliani R (2000) An orthotropic Fourth-Rank Damage Model for Masonry Structures. European Congress on Computational Methods in Applied Sciences and Engineering, ECOMAS 2000. Barcelona, SpainGoogle Scholar
  23. Silva B, Guedes J, Arêde A, Costa A (2007) Avaliação experimental do comportamento estrutural de uma parede de alvenaria de pedra não reforçada sob acção cíclica. SÍSMICA 2007—7° Congresso de Sismologia e Engenharia Sísmica, Porto, PortugalGoogle Scholar
  24. Tomaževic M (1992) Laboratory and in-situ tests of the efficacy of grouting and tying of stone masonry walls. In International workshop on the Effectiveness of injection techniques for retrofitting of stone and brick masonry walls in seismic areas, Politecnico di Milano, pp 95–116Google Scholar
  25. Valluzzi MR, Binda L, Modena C (2001) Experimental and analytical studies for the choice of repair techniques applied to historic buildings. Matériaux et Constructions (CD-ROM), RILEMGoogle Scholar
  26. Valluzzi MR, Cardani G, Binda L, Modena C (2004) Analysis of the seismic vulnerability of masonry buildings in historical centres and intervention proposals. 6th International symposium on the conservation of monuments in the mediterranean Basin, Lisbon, PortugalGoogle Scholar
  27. Vanmarckle CH, Cornell CA, Gasparini DA, Hou SN (1969) SIMQKE: simulation of earthquake ground motion. MIT, Cambridge, MAGoogle Scholar
  28. Vasconcelos G (2005) Experimental investigations on the mechanics of stone masonry: characterization of granites and behaviour of ancient masonry shear walls. PhD Thesis, Universidade do Minho, Guimarães, PortugalGoogle Scholar
  29. Vicente R, Varum H, Mendes da Silva JAR, Lagomarsino S, Parodi S (2007) Metodologia de avaliação da vulnerabilidade sísmica de edifícios antigos à escala do centro histórico. SÍSMICA 2007—7° Congresso de Sismologia e Engenharia Sísmica, Porto, PortugalGoogle Scholar
  30. Vintzileou E, Tassios TP (1995) Three leaf stone masonry strengthened by injecting cement grouts. J Struct Eng 848–856Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Bruno Silva
    • 1
  • João M. Guedes
    • 1
  • António Arêde
    • 1
  • Aníbal Costa
    • 2
  1. 1.Department of Civil Engineering, Faculty of EngineeringUniversity of PortoPortoPortugal
  2. 2.Department of Civil EngineeringUniversity of AveiroAveiroPortugal

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