A nonlinear homogenization procedure for periodic masonry

European Journal of Mechanics, A/Solids

Volumn 28, Issue 2, 2009, Pages 209-222

  Sacco, Elio ^a  

^a UNIVERSITY OF CASSINO AND SOUTHERN LAZIO   (Italy)

Author keywords

Damage friction; Masonry; Nonlinear homogenization; Numerical procedure

Indexed keywords

COMPOSITE MICROMECHANICS; FOURIER TRANSFORMS; FRICTION; HOMOGENIZATION METHOD; MASONRY MATERIALS; MORTAR; PLASTER; TRIBOLOGY;

CONSTITUTIVE LAWS; CONSTITUTIVE RELATIONSHIPS; DAMAGE PROCESS; DAMAGE-FRICTION; DEVELOPED MODELS; FINITE ELEMENTS; HOMOGENIZATION PROCEDURES; IN PLANES; LINEAR ELASTICS; LOADING HISTORY; MASONRY; MECHANICAL BEHAVIORS; MICRO MECHANICALS; MICRO-MECHANICAL ANALYSIS; MORTAR JOINTS; NONLINEAR HOMOGENIZATION; NUMERICAL APPLICATIONS; NUMERICAL CODES; NUMERICAL PROCEDURE; REGULAR DISTRIBUTIONS; TRANSFORMATION FIELD ANALYSIS;

FOUNDATIONS;

EID: 59049101162     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2008.06.005     Document Type: Article

References (29)

1. Addessi D., Marfia S., and Sacco E. A plastic nonlocal damage model. Comp. Methods Appl. Mech. Engrg. 191 (2001) 1291-1310
2. Alfano G., and Sacco E. Combining interface damage and friction in a cohesive-zone model. Int. J. Numer. Methods Engrg. 68 5 (2006) 542-582
3. Berto L., Saetta A., Scotta R., and Vitaliani R. An orthotropic damage model for masonry structures. Int. J. Numer. Methods Engrg. 55 (2002) 127-157
4. Brasile S., Casciaro R., and Formica G. Multilevel approach for brick masonry walls - Part I: A numerical strategy for the nonlinear analysis. Comp. Methods Appl. Mech. Engrg. 196 (2007) 4934-4951
5. Carvelli V., and Taliercio A. Micromechanical model for the analysis of unidirectional elasto-plastic composites subjected to 3D stresses. Mech. Res. Commun. 26 (1999) 547-553
6. Chaboche J.L., Kruch S., Maire J.F., and Pottier T. Towards a micromechanics based inelastic and damage modeling of composites. Int. J. Plasticity 17 (2001) 411-439
7. Del Piero G. Constitutive equations and compatibility of external loads for linear elastic masonry-like materials. Meccanica 24 (1989) 150-162
8. Dvorak G.J. Transformation field analysis of inelastic composite materials. Proc. Roy. Soc. London A 437 (1992) 311-327
9. Fish J., and Shek K. Multiscale analysis of composite materials and structures. Composites Sci. Technol. 60 (2000) 2547-2556
10. Gambarotta L., and Lagomarsino S. Damage models for the seismic response of brick masonry shear walls part I: the continuum model and its application. Earthquake Engineering and Structural Dynamics 26 (1997) 423-439
11. Gambarotta L., and Lagomarsino S. Damage models for the seismic response of brick masonry shear walls part II: the mortar joint model and its application. Earthquake Engineering and Structural Dynamics 26 (1997) 441-462
12. Giambanco G., Rizzo S., and Spallino R. Numerical analysis of masonry structures via interface models. Comp. Methods Appl. Mech. Engrg. 190 (2001) 6493-6511
13. Hilsdorf H.K. Investigation into the failure of brick masonry loaded in axial compression. In: Johnson F.B. (Ed). Designing, Engineering and Constructing with Masonry Products (1969), Gulf Publishing, Houston, TX 34-41
14. Kralj B., Pande G.K., and Middleton J. On the mechanics of frost damage to brick masonry. Computers and Structures 41 1 (1991) 53-66
15. Lahellec N., and Suquet P. On the effective behavior of nonlinear inelastic composites: I. Incremental variational principles. J. Mech. Phys. Solids 55 (2007) 1932-1963
16. Lofti H.R., and Shing B.P. Interface model applied to fracture of masonry structures. J. Structural Engrg. ASCE 120 (1994) 63-80
17. Lourenço P.B., and Rots J. A multi-surface interface model for the analysis of masonry structures. J. Engrg. Mech., ASCE 123 7 (1997) 660-668
18. Lourenço P.B. Continuum model for masonry: parameter estimation and validation. J. Structural Engrg., ASCE 124 6 (1998) 642-652
19. Luciano R., and Sacco E. Homogenization technique and damage model for old masonry material. Int. J. Solids Structures 34 4 (1997) 3191-3208
20. Luciano R., and Sacco E. A damage model for masonry structures. Eur. J. Mech. A/Solids 17 2 (1998) 285-303
21. Luciano R., and Sacco E. Variational methods for the homogenization of periodic heterogeneous media. Eur. J. Mech. A/Solids 17 4 (1998) 599-617
22. Marfia S., and Sacco E. Numerical procedure for elasto-plastic no-tension model. Int. J. Comput. Methods Engrg. Sci. Mech. 6 (2005) 187-199
23. Mura T. Micromechanics of Defects in Solids. Second revised ed. (1987), Martinus
24. Oliveira D.V., and Lourenço P.B. Implementation and validation of a constitutive model for the cyclic behaviour of interface elements. Computers & Structures 82 (2004) 1451-1461
25. Pietruszczak S., and Niu X. A mathematical description of macroscopic behaviour of brick masonry. Int. J. Solids Structures 29 5 (1992) 531-546
26. Ponte Castañeda P. Exact second-order estimates for the effective mechanical properties of nonlinear composite materials. J. Mech. Phys. Solids 44 6 (1996) 827-862
27. Simo J.C., and Hughes T.J.R. Computational Inelasticity (1998), Springer-Verlag, New York
28. Suquet P.M. Elements of homogenization for inelastic solid mechanics. In: Sanchez-Palencia E., and Zaoui A. (Eds). Homogenization Techniques for Composite Media. Lecture Notes in Physics vol. 272 (1987), Springer-Verlag
29. Uva G., and Salerno G. Towards a multiscale analysis of periodic masonry brickwork: A FEM algorithm with damage and friction. Int. J. Solids Structures 43 (2006) 3739-3769