1. bookVolume 26 (2021): Issue 3 (September 2021)
Journal Details
License
Format
Journal
First Published
19 Apr 2013
Publication timeframe
4 times per year
Languages
English
access type Open Access

Probabilistic Mesoscale Analysis of Concrete Beams Subjected to Flexure

Published Online: 26 Aug 2021
Page range: 12 - 27
Received: 17 Jan 2021
Accepted: 14 Apr 2021
Journal Details
License
Format
Journal
First Published
19 Apr 2013
Publication timeframe
4 times per year
Languages
English
Abstract

In this paper, the probabilistic behavior of plain concrete beams subjected to flexure is studied using a continuous mesoscale model. The model is two-dimensional where aggregate and mortar are treated as separate constituents having their own characteristic properties. The aggregate is represented as ellipses and generated under prescribed grading curves. Ellipses are randomly placed so it requires probabilistic analysis for model using the Monte Carlo simulation with 20 realizations to represent geometry uncertainty. The nonlinear behavior is simulated with an isotropic damage model for the mortar, while the aggregate is assumed to be elastic. The isotropic damage model softening behavior is defined in terms of fracture mechanics parameters. This damage model is compared with the fixed crack model in macroscale study before using it in the mesoscale model. Then, it is used in the mesoscale model to simulate flexure test and compared to experimental data and shows a good agreement. The probabilistic behavior of the model response is presented through the standard deviation, moment parameters and cumulative probability density functions in different loading stages. It shows variation of the probabilistic characteristics between pre-peak and post-peak behaviour of load-CMOD curves.

Keywords

[1] Kachanov M. (1980): Continuum model of medium with cracks.– Journal of the engineering Mechanics Division, vol.106, No.3, pp.1039-1051. Search in Google Scholar

[2] Belletti B., Cerioni R. and Iori I. (2001): Physical approach for reinforced-concrete (PARC) membrane elements.– Journal of Structural Engineering, vol.127, No.12, pp.1412-1426. Search in Google Scholar

[3] Menin R. C.G., Trautwein L.M. and Bittencourt T.N. (2009): Smeared crack models for reinforced concrete beams by finite element method.– IBRACON Structures and Materials Journal, vol.2, No.2, pp.166-200. Search in Google Scholar

[4] Al-Jelawy H.M., Mackie K.R. and Haber Z.B. (2018): Shifted plastic hinging for grouted sleeve column connections.– ACI Structural Journal, vol.115, No.4, pp.1101-1114. Search in Google Scholar

[5] Al-Jelawy H.M., Mackie K.R. and Haber Z.B. (2018): Experimental and numerical studies on precast bridge columns with shifted plastic hinging.– Eleventh US National Conference on Earthquake Engineering, pp.25-29. Search in Google Scholar

[6] Haber Z.B., Mackie K.R. and Al-Jelawy H.M. (2017): Testing and analysis of precast columns with grouted sleeve connections and shifted plastic hinging.– Journal of Bridge Engineering, vol.22, No.10, pp.04017078. Search in Google Scholar

[7] Unger J.F., Eckardt S. and Kooenke C. (2017): A mesoscale model for concrete to simulate mechanical failure.– Computers & Concrete, vol.8, No.4, pp.401-423. Search in Google Scholar

[8] Unger J.F. and Eckardt S. (2011): Multiscale modeling of concrete.– Archives of Computational Methods in Engineering, vol.18, No.3, pp.341-393. Search in Google Scholar

[9] Häfner S., Eckardt S., Luther T. and Könke C. (2006): Mesoscale modeling of concrete: Geometry and numerics.– Computers & structures, vol.84, No.7, pp.450-461. Search in Google Scholar

[10] Zhang Z., Song X., Liu Y., Wu D. and Song C. (2017): Three-dimensional mesoscale modelling of concrete composites by using random walking algorithm.– Composites Science and Technology, vol.149, pp.235-245. Search in Google Scholar

[11] Grassl P. and Bažant Z.P. (2009): Random lattice-particle simulation of statistical size effect in quasi-brittle structures failing at crack initiation.– Journal of Engineering Mechanics, vol.135, No.2, pp.85-92. Search in Google Scholar

[12] Moës N., Dolbow J. and Belytschko T. (1999): A finite element method for crack growth without remeshing.– International Journal for Numerical Methods in Engineering, vol.46, No.1, pp.131-150. Search in Google Scholar

[13] Kim S.M. and Al-Rub R.K. (2011): Meso-scale computational modeling of the plastic-damage response of cementitious composites.– Cement and Concrete Research, vol.41, No.3, pp.339-358. Search in Google Scholar

[14] Chen H., Xu B., Mo Y.L. and Zhou T. (2018): Behavior of meso-scale heterogeneous concrete under uniaxial tensile and compressive loadings.– Construction and Building Materials, vol.178, pp.418-431. Search in Google Scholar

[15] Karavelić E., Nikolić M., Ibrahimbegovic A. and Kurtović A. (2019): Concrete meso-scale model with full set of 3D failure modes with random distribution of aggregate and cement phase. Part I: Formulation and numerical implementation.– Computer Methods in Applied Mechanics and Engineering, vol.344, pp.1051-1072. Search in Google Scholar

[16] Zhou R. and Lu Y. (2018): A mesoscale interface approach to modelling fractures in concrete for material investigation.– Construction and Building Materials, vol.165, pp.608-620. Search in Google Scholar

[17] Niknezhad D., Raghavan B., Bernard F. and Kamali-Bernard S. (2015): The influence of aggregate shape, volume fraction and segregation on the performance of Self-Compacting Concrete: 3D modeling and simulation.– Rencontres Universitaires de Genie Civil. Search in Google Scholar

[18] Niknezhad D., Raghavan B., Bernard F. and Kamali-Bernard S. (2015): Towards a realistic morphological model for the meso-scale mechanical and transport behavior of cementitious composites.– Composites Part B: Engineering, vol.81, pp.72-83. Search in Google Scholar

[19] Xie Z.H., Guo Y.C., Yuan Q.Z. and Huang P.Y. (2015): Mesoscopic numerical computation of compressive strength and damage mechanism of rubber concrete.– Advances in Materials Science and Engineering, vol.2015, Article ID 279584, p.10, http://dx.doi.org/10.1155/2015/279584. Search in Google Scholar

[20] Eliáš J., Vořechovský M., Skoček J. and Bažant Z.P. (2015): Stochastic discrete meso-scale simulations of concrete fracture: Comparison to experimental data.– Engineering fracture mechanics, vol.135, pp.1-6. Search in Google Scholar

[21] Grassl P., Grégoire D., Solano L.R. and Pijaudier-Cabot G. (2012): Meso-scale modelling of the size effect on the fracture process zone of concrete.– International Journal of Solids and Structures, vol.49, No.13, pp.1818-1827. Search in Google Scholar

[22] Wang L.C. (2013): Meso-scale numerical modeling of the mechanical behavior of reinforced concrete members.– International Journal of Engineering and Technology, vol.5, No.6, pp.680. Search in Google Scholar

[23] Skarżyński Ł. and Tejchman J. (2012): Numerical mesoscopic analysis of fracture in fine-grained concrete.– Archives of Civil Engineering, vol.58, No.3, pp.331-361. Search in Google Scholar

[24] Jirásek M. (2000): Comparative study on finite elements with embedded discontinuities.– Computer Methods in Applied Mechanics and Engineering, vol.188, No.1-3, pp.307-330. Search in Google Scholar

[25] Rots J.G. (1988): Computational modeling of concrete fracture.– Delft: Technische Hogeschool Delft. Search in Google Scholar

[26] Rots J.G. and Blaauwendraad J. (1989): Crack models for concrete, discrete or smeared? Fixed, multi-directional or rotating?.– HERON, vol.34, No.1. Search in Google Scholar

[27] Rots J.G., Nauta P., Kuster G.M. and Blaauwendraad J. (1985): Smeared Crack Approach and Fracture Localization in Concrete.– HERON, vol.30, No.1. Search in Google Scholar

[28] Kachanov L. (1986): Introduction to Continuum Damage Mechanics.– Springer Science & Business Media. Search in Google Scholar

[29] Lemaitre J. and Chaboche J.L. (1994): Mechanics of Solid Materials.– Cambridge University Press. Search in Google Scholar

[30] Kurumatani M., Terada K., Kato J., Kyoya T. and Kashiyama K. (2016): An isotropic damage model based on fracture mechanics for concrete.– Engineering Fracture Mechanics, vol.155, pp.49-66. Search in Google Scholar

[31] Mahmoud K.S., Al-Sherrawi M.H. (2002): Nonlinear finite element analysis of composite concrete beams.– Journal of Engineering, Baghdad, Iraq, vol.3, No.8, pp.273-288. Search in Google Scholar

[32] Rashid Y.R. (1968): Ultimate strength analysis of prestressed concrete pressure vessels.– Nuclear Engineering and Design, vol.7, No.4, pp.334-344. Search in Google Scholar

[33] Eckardt S., Häfner S. and Könke C. (2004): Simulation of the fracture behaviour of concrete using continuum damage models at the mesoscale.– Proceedings of ECCOMAS. Search in Google Scholar

[34] Sena-Cruz J., Barros J.A. and Azevedo Á.F. (2004): Elasto-Plastic Multi-Fixed Smeared Crack Model for Concrete.– Universidade do Minho, Departamento de Engenharia Civil (DEC). Search in Google Scholar

[35] Bažant Z.P. and Lin F.B. (1988): Nonlocal smeared cracking model for concrete fracture.– Journal of structural engineering, vol.114, No.11, pp.2493-2510. Search in Google Scholar

[36] Petersson P.E. (1981): Crack Growth And Development Of Fracture Zones In Plain Concrete And Similar Materials.– Lund, Sweden: Lund Institute of Technology. Search in Google Scholar

[37] Grégoire D., Rojas-Solano L.B. and Pijaudier-Cabot G. (2013): Failure and size effect for notched and unnotched concrete beams.– International Journal for Numerical and Analytical Methods in Geomechanics, vol.37, No.10, pp.1434-1452. Search in Google Scholar

[38] Saliba J., Matallah M., Loukili A., Regoin J.P., Grégoire D., Verdon L. and Pijaudier-Cabot G. (2016): Experimental and numerical analysis of crack evolution in concrete through acoustic emission technique and mesoscale modelling.– Engineering Fracture Mechanics. vol.167, pp.123-137. Search in Google Scholar

[39] Engwirda D. (2014): Locally-optimal Delaunay-refinement and optimisation-based mesh generation.– School of Mathematics and Statistics, The University of Sydney. Search in Google Scholar

[40] Engwirda D. (2005): Unstructured mesh methods for the Navier-Stokes equations.– School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney. Search in Google Scholar

[41] Stefanou G. (2009): The stochastic finite element method: past, present and future.– Computer methods in applied mechanics and engineering, vol.198, No.9-12, pp.1031-1051. Search in Google Scholar

Recommended articles from Trend MD

Plan your remote conference with Sciendo