Out of plane model for heterogeneous periodic materials: The case of masonry

European Journal of Mechanics, A/Solids

Volumn 21, Issue 5, 2002, Pages 715-746

  Cecchi, Antonella ^a   Sab, Karam ^b  

^a UNIVERSITY IUAV OF VENICE   (Italy)

^b CNRS   (France)

Author keywords

Elastic interfaces; Masonry; Out of plane; Plate; Rigidity

Indexed keywords

BENDING (DEFORMATION); CHARACTERIZATION; ELASTICITY; INTERFACES (MATERIALS); MICROSTRUCTURE; PERTURBATION TECHNIQUES; STIFFNESS; WALLS (STRUCTURAL PARTITIONS);

ELASTIC INTERFACES; MASONRY STRUCTURES; MASONRY WALLS;

MASONRY MATERIALS;

EID: 0344807142     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0997-7538(02)01243-3     Document Type: Article

References (34)

1. Alpa G., Monetto I. Microstructural model for dry block masonry walls with in-plane loading. J. Mech. Phys. Solids. 47:(7):1994;1159-1175.
2. Anthoine A., Pegon P. Numerical strategies for solving continuum damage problems involving softening: application to the homogenization of masonry. Proc. Second International Conference on Computational Structures Technology, Atene. 1994.
3. Anthoine A. Derivation of in plane elastic characteristic of masonry through homogenization theory. Internat. J. Solid Structures. 32:1995;137-163.
4. Avila-Pozos O., Klarbring A., Movchan A.B. Asymptotic model of orthotropic highly inhomogeneous layered structure. Mech. Mater. 31:1999;101-115.
5. Bensoussan A., Lions J.L., Papanicolaou G. Asymptotic Analysis for Periodic Structures. 1978;North-Holland, Amsterdam.
6. Bogoliubov N.N., Mitropolsky Yu. Asymptotic Methods in Nonlinear Mechanics. 1961;Gordon Breach, New York.
7. Caillerie D. Thin elastic and periodic plates. Math. Meth. Appl. Sci. 6:1984;159-191.
8. Cecchi A., Di Marco R. Homogeneization of masonry walls with a numerical oriented procedure. Rigid or elastic blocks? European J. Mech. A. Solids. 19:2000;535-546.
9. Cecchi A., Rizzi N.L. Heterogeneous material. A mixed homogeneization rigidification technique. Internat. J. Solids Structures. 38/1:2001;29-36.
10. Cecchi A., Sab K. A multi-parameter homogenization study for modelling elastic masonry. European J. Mech. A. Solids. 21:2002;249-268.
11. Chiostrini S., Vignoli A. Application of a numerical method to the study of masonry panels with various geometry under sismic loads. Brebbia. Struct. Repair and Maintenance of Histirical Buildings. 1989.
12. Ciarlet P.G., Destuynder P. A justification of the two-dimensional linear plate model. J. Mécanique. 2:(18):1979;315-344.
13. de Felice G. Metodi di omogeneizzazione per sistemi regolari di corpi rigidi. Proc. Aimeta 95, 3-6 Ottobre, Napoli. 1995.
14. de Felice G. Détermination des coefficients d'élasticité de la maçonnerie par une méthode d'homogénéisation. Actes du 12ème Congrès Français de Mécanique, vol. 1, Strasbourg. 1995;393-396.
15. de Felice G., Salerno G. Continuum modelling of discrete systems: a variational approach. Proc. ECCOMAS, Barcelona, 11-14 September. 2000.
16. Gilstrap J.M., Dolan C.W. Out of plane bending of FRP-reinforced masonry walls. Compos. Sci. Technol. 58:1998;1277-1284.
17. Giuffré A. Kappa. Lettura sulla Meccanica Delle Murature Storiche, Roma. 1990.
18. Lee S.J., Pande G.N., Middleton J., Kralj B. Numerical modelling of brick masonry panels subject to lateral loading. Comput. Structures. 31:(211):1996;473-479.
19. Lee S.J., Pande G.N., Kralj B. A comparative study on the approximate analysis of masonry structures. Mater. Structures. 61:(4):1998;735-745.
20. Klarbring A. Derivation of model of adhesively bounded joints by the asymptotic expansion method. Internat. J. Engrg. Sci. 29:1991;493-512.
21. Lofti H.R., Benson Shing P. Interface model applied to fracture of masonry structures. J. Struct. Engrg. ASCE. 120:1994;63-80.
22. Lopez J., Oller S., Onate E., Lubliner J. A homogeneous constitutive model for masonry. Internat. J. Numer. Meth. Engrg. 46:1999;1651-1671.
23. Lourenço P.B. Anisotropic softening model for masonry plates and shells. J. Struct. Engrg. ASCE. 9:(126):2000;1008-1015.
24. Luciano R., Sacco E. Homogenization technique and damage model for old masonry material. Internat. J. Solids Structures. 34:(24):1997;3191-3208.
25. Maier G., Nappi A., Papa E. On damage and failure of brick masonry. Donea, Jones P.M. Experimental and Numerical Methods in Earthquake Engineering, Ispra. 1991;223-245.
26. Masiani R., Rizzi N.L., Trovalusci P. Masonry walls as structured continua. Meccanica. 30:1995;673-683.
27. Nayfeh A.H. Perturbation Methods. 1973;Wiley, New York.
28. Pande G.N., Liang J.X., Middleton J. Equivalent elastic moduli for brick masonry. Comp. Geothec. 8:1989;243-265.
29. Pietruszczak S., Niu X. A mathematical description of macroscopic behaviour of brick masonry. Internat. J. Solids Structures. 29:(5):1992;531-546.
30. Sanchez-Palencia E. Non Homogeneous Media and Vibration Theory. 1980;Springer-Verlag, Berlin.
31. Sanchez-Palencia E., Zaoui A. Homogeneization Techiques for Composite Media. Lectures Notes. 272:1987;Springer-Verlag, Berlin.
32. Sanchez-Hubert J., Sanchez-Palencia E. Introduction aux méthodes asymptotiques et a l'homogénéisation. 1992;Masson, Paris.
33. Shrive N.G., England G.L. Elastic creep and shrinkage behaviour of masonry. Internat. J. Solids Struct. 29:1991;103-109.
34. Zhang X., Shivas, Singh, Bull S., Desmond K., Cooke N. Out of plane performance of reinforced masonry walls with openings. J. Struct. Engrg. ASCE. 1:(127):2001;51-57.