Publicou 6 edições por ano
ISSN Imprimir: 1543-1649
ISSN On-line: 1940-4352
Indexed in
DISCRETE ELEMENT MODEL FOR IN-PLANE LOADED VISCOELASTIC MASONRY
RESUMO
A viscoelastic constitutive model is proposed to evaluate the evolution in time of historical masonry behavior. Masonry structures may be subject, over time, to damage due to creep phenomena, accompanied by a consequent redistribution of stresses and strains. Two models are presented and compared. A discrete element model and a continuous model based on analytical homogenization procedures. Both models are based on the following assumptions: (i) the structure is composed of rigid blocks; (ii) the time dependence of masonry behavior is concentrated in mortar joints, modelled as viscoelastic interfaces. The rigid block hypothesis is particularly suitable for historical masonry, in which stone blocks may be assumed as rigid bodies; the hypothesis of viscoelastic mortar is based on the observation that nonlinear phenomena may be concentrated in mortar joints. The continuum homogenized model provides, in an analytical form, constitutive equivalent viscous functions; the discrete model describes masonry as a rigid skeleton such as to evaluate both its global and local behavior. A parametric analysis is carried out to investigate the effect of (i) mortar-to-brick thickness ratio; (ii) masonry texture (running versus header bond); and (iii) size of heterogeneity (block dimensions) with respect to panel dimensions. Elementary cases are proposed to directly compare constitutive functions of continuum and discrete models. In addition, a meaningful case is proposed: a masonry panel in which the principal stresses are both of compression and the no-tension assumption may therefore be discounted. A further investigation pointed out the sensitivity to heterogeneity size such as to verify model reliability and applicability field.
-
Allen, M. P. and Tildesley, D. J., Computer Simulations of Liquids.
-
Avila-Pozos, O., Klarbring, A., and Movchan, A. B., Asymptotic model of orthotropic highly inhomogeneous layered structure. DOI: 10.1016/S0167-6636(98)00062-3
-
Berto, L., Saetta, A., Scotta, R., and Vitaliani, R., Shear behaviour of masonry panel: Parametric FE analyses. DOI: 10.1016/j.ijsolstr.2004.02.046
-
Binda, I., Anzani, A., and Gioda, G., An analysis of the time dependent behaviour of masonry walls.
-
Brooks, J. J., Composite modelling of masonry deformation. DOI: 10.1007/BF02472197
-
Brooks, J. J. and Abdullah, C. S., Composite models for predicting elastic and long-term movements in brickwork walls.
-
Cecchi, A. and Di Marco, R., Homogenized strategy toward constitutive identification of masonry. DOI: 10.1061/(ASCE)0733-9399(2002)128:6(688)
-
Cecchi, A. and Sab, K., A comparison between a 3D discrete model and two homogenised plate models for periodic elastic brickwork. DOI: 10.1016/j.ijsolstr.2003.12.020
-
Cecchi, A. and Tralli, A., A homogenized viscoelastic model for masonry structures. DOI: 10.1016/j.ijsolstr.2012.02.034
-
Choi, K. K., Lissel, S. L., and Reda Taha, M. M., Rheological modeling of masonry creep. DOI: 10.1139/L07-062
-
Kaliske, M. and Rothert, H., Formulation and implementation of three-dimensional viscoelasticity at small and finite strains. DOI: 10.1007/s004660050171
-
Klarbring, A., Derivation of model of adhesively bounded joints by the asymptotic expansion method. DOI: 10.1016/0020-7225(91)90090-P
-
Lourenço, P. and Rots, J. G., Multi surface interface model for the analysis of masonry structures. DOI: 10.1061/(ASCE)0733-9399(1997)123:7(660)
-
Luciano, R. and Sacco, E., Homogenization technique and damage model for old masonry material. DOI: 10.1016/S0020-7683(96)00167-9
-
Owen, D. R. J. and Hinton, E., Finite Elements in Plasticity: Theory and Practice.
-
Papa, E. and Taliercio, A., A visco-damage model for brittle materials under monotonic and sustained stresses. DOI: 10.1002/nag.415
-
Park, S. W. and Schapery, S. A., Methods of interconversion between linear viscoelastic material functions, Part I. A numerical method based on Prony series. DOI: 10.1016/S0020-7683(98)00055-9
-
Taliercio, A., An overview of masonry creep, in C.A. Brebbia, Ed.
-
Baraldi Daniele, Cecchi Antonella, Tralli Antonio, Continuous and discrete models for masonry like material: A critical comparative study, European Journal of Mechanics - A/Solids, 50, 2015. Crossref
-
Asteris Panagiotis G., Sarhosis Vasilis, Mohebkhah Amin, Plevris Vagelis, Papaloizou L., Komodromos Petros, Lemos José V., Numerical Modeling of Historic Masonry Structures, in Handbook of Research on Seismic Assessment and Rehabilitation of Historic Structures, 2015. Crossref
-
Baraldi Daniele, Cecchi Antonella, Discrete approaches for the nonlinear analysis of in plane loaded masonry walls: Molecular dynamic and static algorithm solutions, European Journal of Mechanics - A/Solids, 57, 2016. Crossref
-
Baraldi Daniele, Bullo Sandra, Cecchi Antonella, Continuous and discrete strategies for the modal analysis of regular masonry, International Journal of Solids and Structures, 84, 2016. Crossref
-
Reccia Emanuele, Cecchi Antonella, Milani Gabriele, FEM/DEM Approach for the Analysis of Masonry Arch Bridges, in Computational Modeling of Masonry Structures Using the Discrete Element Method, 2016. Crossref
-
Asteris Panagiotis G., Sarhosis Vasilis, Mohebkhah Amin, Plevris Vagelis, Papaloizou L., Komodromos Petros, Lemos José V., Numerical Modeling of Historic Masonry Structures, in Civil and Environmental Engineering, 2016. Crossref
-
Baraldi D., Cecchi A., Discrete and continuous models for static and modal analysis of out of plane loaded masonry, Computers & Structures, 207, 2018. Crossref
-
Baraldi Daniele, De Carvalho Bello Claudia Brito, Cecchi Antonella, Ubertini Filippo, Refined Rigid Block Model for In-Plane Loaded Masonry, Advances in Civil Engineering, 2020, 2020. Crossref
-
Chaker Aida, Rekik Amna, Langlet André, Hambli Ridha, Semi-numerical micromechanical model for viscoelastic microcracked masonry, Mechanics of Materials, 166, 2022. Crossref