Continuum modeling of periodic brickwork

International Journal of Solids and Structures

Volumn 46, Issue 5, 2009, Pages 1251-1267

  Salerno, Ginevra ^a   de Felice, Gianmarco ^a  

^a ROMA TRE UNIVERSITY   (Italy)

Author keywords

Brickwork; Constitutive identification; Discrete systems; Homogenization; Masonry; Scale effects

Indexed keywords

CONTINUUM MECHANICS; CONTROL THEORY; DEFORMATION; ELECTRONIC DOCUMENT IDENTIFICATION SYSTEMS; MASONRY MATERIALS; UNCERTAIN SYSTEMS;

BRICKWORK; CONSTITUTIVE IDENTIFICATION; DISCRETE SYSTEMS; HOMOGENIZATION; MASONRY; SCALE EFFECTS;

FOUNDATIONS;

EID: 58249134007     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2008.10.034     Document Type: Article

References (58)

1. Anthoine A. Derivation of in-plane elastic characteristic of masonry through homogeneization theory. International Journal of Solids and Structures 32 (1995) 137-163
2. Aristodemo M. A high-continuity finite element model for two-dimensional elastic problems. Computers & Structures 21 (1985) 987-993
3. Atkinson R.H., Amadei P.P., Saeb S., and Sture S. Response of masonry bed joints in direct shear. Journal of Structural Engineering, ASCE 115 9 (1989) 2276-2296
4. Bardet J.P., and Vardoulakis I. The asymmetry of stress in granular media. International Journal of Solids and Structures 38 (2001) 353-367
5. Bathurst R.J., and Rothenburg L. Micromechanical aspects of isotropic granular assemblies with linear contact interactions. Journal of Applied Mechanics 55 (1988) 17-23
6. Besdo D. Inelastic behaviour of plane frictionless block-systems described as Cosserat media. Archives of Mechanics 37 6 (1985) 603-619
7. Brasile S., Casciaro R., and Formica G. Multilevel approach for brick masonry wall. Part II: on the use of equivalent continua. Computer Methods in Applied Mechanics and Engineering 196 49-52 (2007) 4801-4810
8. Brasile S., Casciaro R., and Formica G. Multilevel approach for brick masonry wall. Part I: a numerical strategy for the non-linear analysis. Computer Methods in Applied Mechanics and Engineering 196 49-52 (2007) 4934-4951
9. Casolo S. Modelling in-plane micro-structure of masonry walls by rigid elements. International Journal of Solids and Structures 41 (2004) 3625-3641
10. Casolo S. Macroscopic modelling of structured materials: relationship between orthotropic continuum and rigid elements. International Journal of Solids and Structures 43 3-4 (2006) 475-496
11. Cecchi A., and Di Marco R. Homogenization of masonry walls with a computational oriented procedure. Rigid or elastic block?. European Journal of Mechanics A: Solids 19 (2000) 535-546
12. Cecchi A., and Rizzi N.L. Heterogeneus elastic solids: a mixed homogenization-rigidification technique. International Journal of Solids and Structures 38 (2001) 29-36
13. Cecchi A., and Sab K. A multi-parameter homogenization study for modeling elastic masonry. European Journal of Mechanics A: Solids 21 (2002) 249-268
14. Chang C.S., and Kuhn M.R. On virtual work and stress in granular media. International Journal of Solids and Structures 42 (2005) 3773-3793
15. Chang C.S., and Liao C.L. Constitutive relation for a particulate medium with the effect of particle rotation. International Journal of Solids and Structures 26 4 (1990) 437-453
16. Chetouane B., Dubois F., Vinches M., and Bohatier C. NSCD discrete element method for modelling masonry structures. International Journal for Numerical Methods in Engineering 64 1 (2005) 65-94
17. De Borst R. Simulation of strain localization: a reappraisal of the Cosserat continuum. Engineering Computation 8 (1991) 317-332
18. de Felice, G., 1995. Détermination des coefficients d'élasticité de la maçonnerie par une mé thode d'homogénéisation. Actes du 12ème Congrès Français de Mécanique, vol. 1, Strasbourg, pp. 393-396.
19. de Felice G., and Rizzi N. Macroscopic modelling of Cosserat media. Trends and Applications of Mathematics to Mechanics. Monographs and Surveys in Pure and Applied Mathematics vol. 10 (1999), Chapman & Hall, London pp. 58-65
20. Di Carlo, A., A memo on mortar modelling (or what could be behind a bonafide rigid block-springy mortar code)', private communication to the authors.
21. Florence C., and Sab K. Overall ultimate yield surface of periodic tetrakaidecahedral lattice with non-symmetric material distribution. Journal of Material Science 40 (2005) 5883-5892
22. Forest S., Pradel F., and Sab K. Asymptotic analysis of heterogeneous Cosserat media. International Journal of Solids and Structures 38 (2001) 4585-4608
23. Formica G., Sansalone V., and Casciaro R. A mixed solution strategy for the nonlinear analysis of brick masonry walls. Computer Methods in Applied Mechanics and Engineering 191 (2002) 5847-5876
24. Froiio F., Tomassetti G., and Vardoulakis I. Mechanics of granular materials: the discrete and the continuum descriptions juxtaposed. International Journal of Solids and Structures 43 (2006) 7684-7720
25. Gambarotta L., and Lagomarsino S. Damage models for the seismic responce of brick masonry shear wall. Part II: the continuum model and its applications. Eartquake Engineering and Structural Dynamics 26 (1997) 441-462
26. Haller, P., 1958. Die technische Eigenschaften von Backstein, Schweizerische Bauzeitung (Dutch translation 1967).
27. Kouznetsova, V.G., 2002. Computational homogenization for the multi-scale analysis of multi-phase materials, Ph.D. Thesis, Technische Universiteit Eindhoven, Department of Engineering.
28. Kruyt N.P. Static and kinematics of discrete Cosserat-type granular materials. International Journal of Solids and Structures 40 (2003) 511-534
29. Liao C.L., Chang T.P., Young D.H., and Chang C.S. Stress-strain relationship for granular materials based on the hypothesis of best fit. International Journal of Solids and Structures 34 (1997) 4087-4100
30. Lofty H.R., and Shing P.B. Multisurface interface model for analysis of masonry structures. Journal of Engineering Mechanics, ASCE 123 7 (1997) 660-668
31. Lourenço, P.B., Rots, J.G., 1993. Discrete models for jointed block masonry walls. In: Proceedings of the Sixth North American Masonry Conference, Philadelphia, pp. 939-949.
32. Luciano R., and Sacco E. Homogenization technique and damage model for old masonry material. International Journal of Solids and Structures 34 24 (1997) 3191-3208
33. Maghous S., de Buhan P., and Bekaert A. Failure design of jointed rock structures by means of a homogenization approach. Mechanics of Coesive-Frictional Materials 3 (1998) 207-228
34. Maghous S., de Buhan P., and Dormieux L. Non-linear global elastic behaviour of periodically jointed material. Mechanics Research Communications 29 (2002) 45-51
35. Maier G., Papa E., and Nappi A. On damage and failure of brick masonry. In: Donea J., and Jones P.M. (Eds). Experimental and Numerical Methods in Earthquake Engineering (1991), Balkema, The Netherlands 223-245
36. Masiani R., Rizzi N., and Trovalusci P. Masonry as structured continuum. Meccanica 30 (1995) 673-683
37. Massart, T.J., 2003. Multi-scale modeling of damage in masonry structures, Ph.D. Thesis, Technische Universiteit Eindhoven, Department of Engineering.
38. Milani G., Lourenço P.B., and Tralli A. Homogenised limit analysis of masonry walls. Part I: failure surfaces. Computers & Structures 84 (2006) 166-180
39. Mindlin R.D. Micro-structure in linear elasticity. Archives of Rational Mechanics and Analysis 16 (1964) 51-78
40. Mühlhaus H.B. Application of Cosserat theory in numerical solutions of limit load problems. Ingenieur Archive 59 (1989) 124-137
41. Mühlhaus H.B. Continuum models for layered soil and blocky rock. Comprehensive Rock Engineering vol. 2 (1993), Pergamon Press, Oxford
42. Pande G.N., Liang J.X., and Middleton J. Equivalent elastic moduli for brick masonry. Computer and Geotechnics 8 (1989) 243-265
43. Pegon P., and Anthoine A. Numerical strategies for solving continuum damage problems with softening: application to the homogenization of masonry. Computers & Structures 64 1-4 (1997) 623-642
44. Peters J.F. Some fundamental aspects of the continuumization problem in granular media. Journal of Engineering Mathematics 52 (2005) 231-250
45. Pietruszczak S., and Niu X. A mathematical description of macroscopic behaviour of brick masonry. International Journal of Solids and Structures 29 (1992) 531-546
46. Rizzi, N.L., Tatone, A., 1995. Masonry modeled as nonlinear structured continuum. In: Proceedings of the 15th Canadian Congress of Applied Mechanics.
47. Stefanou I., Sulem J., and Vardulakis I. Three-dimensional Cosserat homogenization of masonry structures: elasticity. Acta Geotecnica 3 (2008) 71-83
48. Sulem J., and Mühlhaus H.-B. A continuum model for periodic two-dimensional block structures. Mechanics of Cohesive-Frictional Materials 2 (1997) 31-46
49. Sutcliffe D.J., Yu H.S., and Page A.W. Lower bound limit analysis for unreinforced masonry shear walls. Computers & Structures 79 (2001) 1295-1312
50. Trovalusci P., and Masiani R. Cosserat and Cauchy materials as continuum models of brick masonry. Meccanica 31 (1996) 421-432
51. Trovalusci P., and Masiani R. Strain rates of micropolar continua equivalent to discrete systems. Meccanica 32 (1997) 581-583
52. Trovalusci P., and Masiani R. Material symmetries of micropolar continua equivalent to lattices. International Journal of Solids and Structures 36 (1999) 2091-2108
53. Uva G., and Salerno G. Towards a multiscale analysis of periodic masonry brickwork: a FEM algorithm with damage and friction. International Journal of Solids and Structures 43 (2006) 3739-3769
54. Woźniak Cz. Refined macro-dynamics of periodic structures. Archives of Mechanics 45 3 (1993) 295-304
55. Wu C., and Hao H. Numerical derivation of averaged material properties of how concrete block masonry. Engineering Structures 30 (2008) 870-883
56. Zhao Y.H., and Weng G.J. Effective elastic moduli of ribbon-reinforced composites. Journal of Applied Mechanics 57 (1990) 158-167
57. Zucchini A., and Lourenço P.B. A micro-mechanical model for the homogenization of masonry. International Journal of Solids and Structures 39 (2002) 3233-3255
58. Zucchini A., and Lourenço P.B. A coupled homogenization-damage model for masonry cracking. Computers & Structures 82 (2004) 917-929