Rigid element model for in-plane dynamics of masonry walls considering hysteretic behaviour and damage

Earthquake Engineering and Structural Dynamics

Volumn 36, Issue 8, 2007, Pages 1029-1048

  Casolo, Siro ^a   Peña, Fernando ^b  

^a POLITECNICO DI MILANO   (Italy)

^b UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

Degradation; Dynamics; Hysteretic material; In plane; Masonry; Rigid elements

Indexed keywords

AXIAL LOADS; DEGREES OF FREEDOM (MECHANICS); DYNAMIC ANALYSIS; ENERGY DISSIPATION; HYSTERESIS; MASONRY CONSTRUCTION; SHEAR DEFORMATION;

MECHANICAL DETERIORATION; RIGID BODY SPRING MODEL; RIGID ELEMENT MODEL;

WALLS (STRUCTURAL PARTITIONS);

CYCLIC LOADING; DAMAGE; ENERGY DISSIPATION; MASONRY; NUMERICAL MODEL; SEISMICITY; SHEAR; WALL;

EID: 34250771067     PISSN: 00988847     EISSN: 10969845     Source Type: Journal    
DOI: 10.1002/eqe.670     Document Type: Article

References (54)

1. Bertero VV. Innovative approaches to earthquake engineering (Chapter 1). In Innovative Approaches to Earthquake Engineering, Oliveto G (ed.). WIT Press: Ashurst, Southampton, U.K., 2002; 1-54.
2. Housner GW. 'Strong ground motion'. In Earthquake Engineering, Wiegel (ed.). Prentice-Hall: Englewood Cliffs, NJ, 1970; 75-91.
3. Petrini V, Casolo S. Vulnerability of historical and monumental buildings: significant ground motion parameters and evaluation of the seismic performance (Chapter 4). In Innovative Approaches to Earthquake Engineering, Oliveto G (ed.). WIT Press: Ashurst, Southampton, U.K., 2002; 203-228.
4. Uang C-M, Bertero VV. Evaluation of seismic energy in structures. Earthquake Engineering and Structural Dynamics 1990; 19(1):77-90.
5. Doglioni F, Moretti A, Petrini V. Le Chiese e il Terremoto (in Italian). Lint Press: Trieste, 1994.
6. Petrini V, Casolo S, Doglioni F. Models for vulnerability analysis of monuments and strengthening criteria. In Proceedings of the XI European Conference on Earthquake Engineering, Paris, Invited Lecture Volume. Baalkema, 1999; 179-198.
7. Lourenço PB. Computations on historic masonry structures. Progress in Structural Engineering and Materials 2002; 4(3):301-319.
8. Casolo S. Modelling the out-of-plane seismic behaviour of masonry walls by rigid elements. Earthquake Engineering and Structural Dynamics 2000; 29(12):1797-1813.
9. Casolo S, Neumair S, Parisi MA, Petrini V. Analysis of seismic damage in old masonry church façades. Earthquake Spectra 2000; 16(4):757-773.
10. Spence R, Hughes R, Nash D, Coburn A. Damage assessment and ground motion in the Italian earthquake of 23.11.1980. In Proceedings of the VII European Conference on Earthquake Engineering, Athens, August 1982.
11. Benedetti D, Benzoni GM. A numerical model for seismic analysis of masonry buildings: experimental correlations. Earthquake Engineering and Structural Dynamics 1984; 12:817-831.
12. Casolo S. A three-dimensional model for vulnerability analysis of slender medieval masonry towers. Journal of Earthquake Engineering 1998; 2(4):487-512.
13. D'Ayala D, Speranza E. Definition of collapse mechanisms and seismic vulnerability of historic masonry buildings. Earthquake Spectra 2003; 19(3):479-509.
14. Giuffrè A. A mechanical model for statics and dynamics of historical masonry buildings. In Protection of the Architectural Heritage Against Earthquakes, Petrini V, Save M (eds). CISM Courses and Lectures, vol. 359. Springer: Wien, 1996.
15. Magenes G, Calvi GM. In-plane seismic response of brick masonry walls. Earthquake Engineering and Structural Dynamics 1997; 26(11):1091-1112.
16. Tomazevic M. Dynamic modelling of masonry buildings: storey mechanism as a simple alternative. Earthquake Engineering and Structural Dynamics 1987; 15:731-749.
17. Anthoine A. Derivation of the in-plane elastic characteristics of masonry through homogenization theory. International Journal of Solids and Structures 1995; 32(2):137-163.
18. de Buhan P, de Felice G. A homogenization approach to the ultimate strength of brick masonry. Journal of the Mechanics and Physics of Solids 1997; 45(7):1085-1104.
19. Pande GN, Liang JX, Middleton J. Equivalent elastic moduli for unit masonry. Computers and Geotechnics 1989; 8:243-265.
20. Forest S, Sab K. Cosserat overall modeling of heterogeneous materials. Mechanics Research Communications 1985; 25(4):449-454.
21. Masiani R, Rizzi N, Trovalusci P. Masonry as structured continuum. Meccanica 1985; 30:673-683.
22. Sulem J, Mühlhaus H-B. A continuum model for periodic two-dimensional block structures. Mechanics of Cohesive-frictional Materials 1997; 2:31-46.
23. Calvi GM, Magenes G. Experimental research on response of URM building systems. Proceedings of the U.S. Italy Workshop on Guidelines for Seismic Evaluation and Rehabilitation of Unreinforced Masonry Buildings, Pavia. Technical Report NCEER-94-0021, National Centre for Earthquake Engineering, Buffalo, 20 July 1994.
24. Dhanasekar M, Page AW, Kleeman PW. The failure of brick masonry under biaxial stresses. Proceedings of the Institution of Civil Engineers 1985; 79:295-313.
25. Dhanasekar M, Kleeman PW, Page AW. Biaxial stress-strain relations for brick masonry. Journal of Structural Engineering (ASCE) 1985; 111(5):1085-1100.
26. Hamid AA, Drysdale RG. Proposed failure criteria for concrete block masonry under biaxial stresses. Journal of the Structural Division (ASCE) 1981; 107:1675-1687.
27. Naraine K, Sinha S. Cyclic behaviour of brick masonry under biaxial compression. Journal of Structural Engineering (ASCE) 1991; 117(5):1336-1355.
28. Page AW, Samarasinghe W, Hendry AW. The failure of masonry shear walls. International Journal of Masonry Construction 1980; 1(2):52-57.
29. Berto L, Saetta A, Scotta R, Vitaliani R. Orthotropic damage model for masonry structures. International Journal for Numerical Methods in Engineering 2002; 55(2):127-157.
30. Gambarotta L, Lagomarsino S. Damage models for the seismic response of brick masonry shear walls. Part II: the continuum model and its application. Earthquake Engineering and Structural Dynamics 1997; 26(4):441-462.
31. Lourenço PB, de Borst R, Rots JG. A plane stress softening plasticity model for orthotropic materials, International Journal for Numerical Methods in Engineering 1997; 40:4033-4057.
32. Lucchesi M, Padovani C, Zani N. Masonry-like solids with bounded compressive strength. International Journal of Solids and Structures 1997; 33(14):1961-1994.
33. Pietruszczak S, Ushaksaraei R. Description of inelastic behaviour of structural masonry. International Journal of Solids anal Structures 2003; 40:4003-4019.
34. Trovalusci P, Masiani R. Non-linear micropolar and classical continua for anisotropic discontinuous materials. International Journal of Solids and Structures 2003; 40(5):1281-1297.
35. Griffiths DV, Mustoe GGW. Modelling of elastic continua using a grillage of structural elements based on discrete element concepts. International Journal for Numerical Methods in Engineering 2001; 50(7):1759-1775.
36. Kawai T. Some considerations on the finite element method. International Journal for Numerical Methods in Engineering 1980; 16:81-120.
37. Kikuchi A, Kawai T, Suzuki N. The rigid body-spring models and their application to three-dimensional crack problems. Computers and Structures 1992; 44(1/2):469-480.
38. Casolo S. Modelling in-plane micro-structure of masonry walls by rigid elements, International Journal of Solids and Structures 2004; 41(13):3625-3641.
39. Casolo S. Macroscopic modelling of structured materials: relationship between orthotropic Cosserat continuum and rigid elements, International Journal of Solids and Structures 2006; 43(3-4):475-496.
40. Goldstein H. Classical Mechanics. Addison-Wesley: New York, 1953.
41. Zienkiewicz OC, Taylor RL. The Finite Element Method, vol. II. McGraw-Hill: London, 1991.
42. Dialer C. Typical masonry failures and repairs: a German Engineer's view. Progress in Structural Engineering and Materials 2002; 4(3):332-339.
43. Massart TJ, Peerlings RHJ, Geers MGD. Mesoscopic modeling of failure and damage-induced anisotropy in brick masonry. European Journal of Mechanics - A/Solids 2004; 23:719-735.
44. Zucchini A, Lourenço PB. A micro-mechanical model for homogenisation of masonry, International Journal of Solids and Structures 2002; 39:3233-3255.
45. Malyszko L. In-plane shear and tensile strength tests of small brickwork specimens. In Proceedings of Structural Analysis of Historical Constructions, Modena, Lourenço & Roca (eds), Padova, Italia, 2004; 291-298.
46. Atkinson RH, Amadei PB, Saeb S, Sture S. Response of masonry bed joints in direct shear. Journal of Structural Engineering Division (ASCE) 1989; 115(9):2276-2296.
47. Anthoine A, Magenes G, Magonette G. Shear compression testing and analysis of brick masonry walls. Proceedings of the 10th European Conference on Earthquake Engineering, Vienna, 1994; 1657-1662.
48. Binda L, Gatti G, Mangano G, Poggi C, Sacchi Landriani G. The collapse of the civic tower of Pavia: a survey of the materials and structure. Masonry International 1992; 6(1):11-20.
49. Calvi GM, Priestley MJN. Post collapse analyses of a medieval masonry tower. Fifth North American Masonry Conference, University of Illinois at Urbana-Champaign, 3-6 June 1990.
50. Gambarotta L, Lagomarsino S. Damage models for the seismic response of brick masonry shear walls. Part I: the mortar joint model and its application. Earthquake Engineering and Structural Dynamics 1997; 26(4):423-439.
51. Magenes G, Calvi GM. Cyclic behaviour of brick masonry walls. Proceedings of the 10th World Conference on Earthquake Engineering, Madrid, 1992; 3517-3522.
52. Takeda T, Sozen MA, Nielson NN. Reinforced concrete response to simulated earthquakes. Journal of the Structural Division (ASCE) 1970; 96:2557-2573.
53. Cividini A, Gioda G. A finite element analysis of direct shear tests on stiff clays, International Journal for Numerical and Analytical Methods in Geomechanics 1992; 16:869-886.
54. de Borst R. Some recent issues in computational failure mechanics. International Journal for Numerical Methods in Engineering 2001; 52(7):63-95.