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Ability of localizing gradient damage to determine size effect in concrete beams
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Cracow University of Technology, Faculty of Civil Engineering, Cracow, Poland
 
 
Submission date: 2023-10-30
 
 
Final revision date: 2023-11-26
 
 
Acceptance date: 2023-11-27
 
 
Online publication date: 2024-02-18
 
 
Publication date: 2024-04-30
 
 
Corresponding author
Adam Wosatko   

Faculty of Civil Engineering, Cracow University of Technology, Warszawska 24, 31-155, Cracow, Poland
 
 
 
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ABSTRACT
The objective of the paper is to demonstrate the potential of the localizing gradient dam- age model in size effect simulations. Three different gradient activity functions for variable internal length scale are considered. Numerical simulations for an unnotched beam under three-point bending are referred to the experiment performed by Gr´egoire et al. (2013). A confrontation with the conventional gradient damage model as well as mesh sensitivity studies are also presented. It is proved that the localizing gradient damage model with differ- ent variants of the gradient activity function can reproduce the size effect quite reasonably.
 
REFERENCES (26)
1.
Barbat G.B., Cervera M., Chiumenti M., Espinoza E., 2020, Structural size effect: Experimental, theoretical and accurate computational assessment, Engineering Structures, 213, 110555.
 
2.
Bažant Z.P., Jirásek M., 2002, Nonlocal integral formulations of plasticity and damage: Survey of progress, Journal of Engineering Mechanics – ASCE, 128, 11, 1119-1149.
 
3.
Bažant Z.P., Le J.-L., 2017, Probabilistic Mechanics of Quasibrittle Structures. Strength, Life-time, and Size Effects, Cambridge University Press, Cambridge.
 
4.
Bažant Z.P., Oh B., 1983, Crack band theory for fracture of concrete, RILEM Materials and Structures, 16, 155-177.
 
5.
Bažant Z.P., Planas J., 1998, Fracture and Size Effect in Concrete and Other Quasibrittle Materials, CRC Press, New York.
 
6.
Borden M.J., 2012, Isogeometric analysis of phase-field models for dynamic brittle and ductile fracture, Ph.D. Thesis, The University of Texas at Austin, Austin, Texas.
 
7.
Carmeliet J., 1999, Optimal estimation of gradient damage parameters from localization phenomena in quasi-brittle materials, Mechanics of Cohesive-Frictional Materials, 4, 1, 1–16.
 
8.
de Borst R., Verhoosel C.V., 2016, Gradient damage vs. phase-field approaches for fracture: Similarities and differences, Computer Methods in Applied Mechanics and Engineering, 312, 78-94.
 
9.
de Vree J.H.P., Brekelmans W.A.M., van Gils M.A.J., 1995, Comparison of nonlocal approaches in continuum damage mechanics, Computers anf Structures, 55, 4, 581-588.
 
10.
Feng D.-C., Wu J.-Y., 2018, Phase-field regularized cohesive zone model (CZM) and size effect of concrete, Engineering Fracture Mechanics, 197, 66-70.
 
11.
García-Álvarez V.O., Gettu R., Carol I., 2012, Analysis of mixed-mode fracture in concrete using interface elements and a cohesive crack model, Sadhana, 37, 1, 187-205.
 
12.
Geers M.G.D., 1997, Experimental analysis and computational modelling of damage and fracture, Ph.D. Thesis, Eindhoven University of Technology, Eindhoven.
 
13.
Grégoire D., Rojas-Solano L.B., Pijaudier-Cabot G., 2013, Failure and size effect for notched and unnotched concrete beams, International Journal for Numerical and Analytical Methods in Geomechanics, 37, 10, 1434-1452.
 
14.
Hoover C.G., Bažant Z.P., Vorel J., Wendner R., Hubler M.H., 2013, Comprehensive concrete fracture tests: Description and results, Engineering Fracture Mechanics, 114, 92-103.
 
15.
Hordijk D.A., 1991, Local approach to fatigue of concrete, Ph.D. Thesis, Delft University of Technology, Delft.
 
16.
Mazars J., Pijaudier-Cabot G., 1989, Continuum damage theory – application to concrete, Journal of Engineering Mechanics – ASCE, 115, 2, 345-365.
 
17.
Negi A., Singh U., Kumar S., 2021, Structural size effect in concrete using a micromorphic stress-based localizing gradient damage model, Engineering Fracture Mechanics, 243, 107511.
 
18.
Peerlings R.H.J., de Borst R., Brekelmans W.A.M., de Vree J.H.P., 1996, Gradient enhanced damage for quasi-brittle materials, International Journal for Numerical Methods in Engineering, 39, 19, 3391-3403.
 
19.
Peerlings R.H.J., Massart T.J., Geers M.G.D., 2004, A thermodynamically motivated implicit gradient damage framework and its application to brick masonry cracking, Computer Methods in Applied Mechanics and Engineering, 193, 30, 3403-3417.
 
20.
Poh L.H., Sun G., 2017, Localizing gradient damage model with decreasing interaction, International Journal for Numerical Methods in Engineering, 110, 6, 503-522.
 
21.
Saroukhani S., Vafadari R., Simone A., 2013, A simplified implementation of a gradient-enhanced damage model with transient length scale effects, Computational Mechanics, 51, 6, 899-909.
 
22.
Taylor R., 2001, FEAP – A Finite Element Analysis Program, Version 7.4, User Manual, University of California at Berkeley, Berkeley.
 
23.
Wang J., Poh L.H., Guo X., 2022, Mixed mode fracture of geometrically similar FRUHPC notched beams with the localizing gradient damage model, Engineering Fracture Mechanics, 275, 108843.
 
24.
Wosatko A., 2022, Survey of localizing gradient damage in static and dynamic tension of concrete, Materials, 15, 5, 1875.
 
25.
Zhang Y., Shedbale A.S., Gan Y., Moon J., Poh L.H., 2021, Size effect analysis of quasi-brittle fracture with localizing gradient damage model, International Journal of Damage Mechanics, 30, 7, 1012-1035.
 
26.
Zhao D., Yin B., Tarachandani S., Kaliske M., 2023, A modified cap plasticity description coupled with a localizing gradient-enahnced approach for concrete failure modeling, Computational Mechanics, 72, 787-801.
 
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