Simple numerical model with second order effects for out-of-plane loaded masonry walls

Engineering Structures

Volumn 48, Issue , 2013, Pages 98-120

  Milani, Gabriele ^a   Pizzolato, Marco ^b   Tralli, Antonio ^b  

^a POLITECNICO DI MILANO   (Italy)

^b UNIVERSITY OF FERRARA   (Italy)

Author keywords

Flexural behavior; Homogenization; Masonry walls; Material and geometric non linearity

Indexed keywords

BUCKLING BEHAVIORS; FINITE ELEMENT MODELS; FLEXURAL BEHAVIOR; FOUR-POINT BENDING TEST; GEOMETRIC NON-LINEARITY; HOMOGENIZATION; INCREMENTAL RESPONSE; LATERAL LOADS; MASONRY WALLS; MOMENT-CURVATURE; NODAL DISPLACEMENT; OUT-OF-PLANE; POSTBUCKLING BEHAVIOR; PRELIMINARY ANALYSIS; RESTRAINT CONDITIONS; SECOND ORDER EFFECT; TOTAL ENERGY; TRIANGULAR ELEMENTS; UNIT CELLS; UNREINFORCED MASONRY WALLS;

BUCKLING; FINITE ELEMENT METHOD; MASONRY CONSTRUCTION; WALLS (STRUCTURAL PARTITIONS);

RETAINING WALLS;

ANALYTICAL FRAMEWORK; BENDING; BUCKLING; COMPRESSION; CURVATURE; FINITE ELEMENT METHOD; FLEXURE; MASONRY; NONLINEARITY; NUMERICAL MODEL; WALL;

EID: 84869890278     PISSN: 01410296     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engstruct.2012.08.029     Document Type: Article

References (31)

1. Giuffrè A, editor. Safety and conservation of historical centers: the Ortigia case. Bari (Italy): Laterza Editore; 1993.
2. Instructions, Circolare esplicativa, no. 617 C.S.LL.PP. 2.02.2009, 2009.
3. DM 2008 Nuove norme tecniche per le costruzioni DM 14.01.2008.
4. Como M. Statica delle costruzioni storiche in muratura 2010, Aracne, Rome (Italy).
5. Frish-Fay R. Stability of masonry piers. Int J Solids Struct 1975, 11(2):187-198.
6. Lu M., Schultz A.E., Stolarski H.K. Application of the arc-length method for the stability analysis of solid unreinforced masonry walls under lateral loads. Eng Struct 2005, 27(5):909-919.
7. Bean Popehn J., Schultz A.E., Lu M., Stolarski H.K., Ojard N.J. Influence of transverse loading on the stability of slender unreinforced masonry walls. Eng Struct 2008, 30:2830-2839.
8. Da Porto F., Mosele F., Modena C. Cyclic out-of-plane behaviour of tall reinforced masonry walls under P-Δ effects. Eng Struct 2011, 33:287-297.
9. Milani G., Tralli A. Simple SQP approach for out-of-plane loaded homogenized brickwork panels, accounting for softening. Comput Struct 2011, 89(1-2):201-215.
10. Milani G., Tralli A. A simple meso-macro model based on SQP for the non-linear analysis of masonry double curvature structures. Int J Solids Struct 2012, 49(5):808-834.
11. Luciano R., Sacco E. Homogenisation technique and damage model for old masonry material. Int J Solids Struct 1997, 34(24):3191-3208.
12. Milani G., Lourenço P.B., Tralli A. Homogenised limit analysis of masonry walls. Part I: Failure surfaces. Comput Struct 2006, 84(3-4):166-180.
13. Cecchi A., Milani G., Tralli A. Validation of analytical multi-parameter homogenization models for out-of-plane loaded masonry walls by means of the finite element method. J Eng Mech ASCE 2005, 131(2):185-198.
14. Lourenço P.B. A review of the out-of-plane behaviour of masonry. Masonry Int 2001, 14(3):67-73.
15. Willis C.R., Griffith M.C., Lawrence S.J. Horizontal bending of unreinforced clay brick masonry. Masonry Int 2004, 17(3):109-121.
16. Lourenço P.B., Rots J. A multi-surface interface model for the analysis of masonry structures. J Eng Mech ASCE 1997, 123(7):660-668.
17. De Donato O., Franchi A. A modified gradient method for finite element elastoplastic analysis by quadratic programming. Comput Meth Appl Mech Eng 1973, 2(2):107-131.
18. Maier G. Incremental plastic analysis in the presence of large displacements and physical instabilizing effects. Int J Solids Struct 1971, 7:345-372.
19. Tangaramvong S., Tin-Loi F. Extended limit analysis of strain softening frames involving 2nd-order geometric nonlinearity and limited ductility. CMES 2009, 42(3):217-256.
20. Tangaramvong S., Tin-Loi F. Limit analysis of elastoplastic frames considering 2nd-order geometric nonlinearity and displacement constraints. Int J Mech Sci 2009, 51:179-191.
21. Munro J., Da Fonseca A.M.A. Yield-line method by finite elements and linear programming. J Struct Eng ASCE 1978, 56B:37-44.
22. Kawai New discrete models and their application to seismic response analysis of structures. Nucl Eng Des 1978, 48(1):207-229.
23. Wilson E. Three dimensional static and dynamic analysis of structures. A physical approach with emphasis on earthquake engineering, 3rd ed., California (USA): CSI Book Series; 2002.
24. Cocchetti G., Maier G. Elastic-plastic and limit state analyses of frames with softening plastic-hinge models by mathematical programming. Int J Solids Struct 2003, 40:7219-7244.
25. Kaliszky S. Elastoplastic analysis with limited plastic deformations and displacements. Mech Struct Mach 1996, 24:39-50.
26. Denton S.R., Morley C.T. Limit analysis and strain softening structures. Int J Mech Sci 2000, 42:503-522.
27. Milani G., Zuccarello F.A., Olivito R.S., Tralli A. Heterogeneous upper-bound finite element limit analysis of masonry walls out-of-plane loaded. Comput Mech 2007, 40(6):911-931.
28. DIANA 9.4.3. User's guide. TNO Building and Construction Research, The Netherlands, 2010.
29. Lourenço PB. Computational strategies for masonry structures. PhD thesis Delft University, The Netherlands, 1996.
30. Casolo S., Milani G. A simplified homogenization-discrete element model for the non-linear static analysis of masonry walls out-of-plane loaded. Eng Struct 2010, 32:2352-2366.
31. Doherty K., Griffith M.C., Lam N., Wilson J. Displacement based seismic analysis of out-of-plane bending of unreinforced masonry walls. Earthq Eng Struct Dyn 2002, 31:833-850.