Abstract
Brittle materials are very complex in their behavior, which is characterized by anisotropy in tension and in compression. Therefore, numerical modeling of brittle materials requires an insight view of material behavior and an advanced constitutive material model. This paper presents an approach to model brittle materials by using the concrete damage plasticity model (CDP). Firstly, the CDP model, including the procedure to determine its parameters is described. Secondly, size effects due to tensile cracking and compressive crushing are considered within calibration of parameters and via development and implementation of a subroutine in ABAQUS. Finally, this numerical approach is validated through numerical simulation of different mechanical tests: three-points bending test, uniaxial compression tests.
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References
Abaqus (2012). Abaqus Analysis User’s Manual. Dassault Systèmes.
Bazant, Z, and B Oh. (1983). Rack band theory of concrete. Materials and Structures 16: 155–77.
Bažant, Zdeněk P, and Qiang Yu. (2004). Size effect in fracture of concrete specimens and structures: new problems and progress. FraMCoS-5, 5th Int. Conf. on Fracture Mech. of Concrete and Concr. Structures 1: 153–62.
Carpinteri, A., M. Corrado, and M. Paggi. (2011). An analytical model based on strain localisation for the study of size-scale and slenderness effects in uniaxial compression Tests. Strain 47 (4):351–62.
D.-A. Ho, M. Bost, J.-P. Rajot. “Numerical study of the bolt-grout interface for fully grouted rockbolt under different confining conditions”, International Journal of Rock Mechanics and Mining Sciences, 2019.
FIB (1993). CEB-FIP MODEL CODE 1990. Edited by fib. Thomas Telford Publishing.
Grassl, P. (2009). On a damage–plasticity approach to model concrete failure. Proceedings of the Institution of Civil Engineers - Engineering and Computational Mechanics 162 (4): 221–31.
Hillerborg, A., M. Modéer, and P.-E. Petersson. (1976). Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements.” Cement and Concrete Research 6 (6): 773–81.
Ho, D.A. (2017). Comportement axial des ancrages passifs scellés au rocher: étude de l’interface barre- scellement et modélisation. Ph.D. thesis, Université de Lyon.
Jansen, Daniel C., and Surendra P. Shah. (1997). Effect of length on compressive strain softening of concrete. Journal of Engineering Mechanics 123 (1): 25–35.
Krätzig, Wilfried B., and Rainer Pölling. (2004). An elasto-plastic damage model for reinforced concrete with minimum number of material Parameters. Computers & Structures 82 (15–16): 1201–15.
Kupfer, H., H.K. Hilsdorf, and H. Rusch. (1969). Behavior of concrete under biaxial stresses. ACI Journal 66 (8): 656–66.
Lee, Jeeho, and Gregory L. Fenves. (1998). Plasticdamage model for cyclic loading of concrete structures. Journal of Engineering Mechanics 124 (8): 892–900.
Lubliner, J., J. Oliver, S. Oller, and E. Oñate. (1989). A plastic-damage model for concrete. International Journal of Solids and Structures 25 (3): 299–326.
Mazars, J., and G. Pijaudier-Cabot. (1989). Continiuum damage theory - appliation to concrete. Journal of Engineering Mechanics 115 (2): 345–65.
Padevět, Pavel, and Ondřej Zobal. (2012). Changes of the fracture energy of cement paste with addition of fly ash in time. Procedia Engineering 48 (April): 513–19.
Planas, J, G V Guinea, and M Elices. (1997). Generalized size effect equation for quasibrittle materials. Fatigue & Fracture of Engineering Materials & Structures 20 (5): 671–87.
Xu, Shilang, and Yu Zhu. (2009). Experimental determination of fracture parameters for crack propagation in hardening cement paste and mortar. International Journal of Fracture 157 (1–2): 33–43.
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Ho, D.A., Bost, M., Rajot, JP. (2020). Numerical Modeling of Brittle Materials by Damage Plasticity Model: Determination of Parameters with Consideration of Size Effects Due to Tensile Cracking and Compressive Crushing. In: Duc Long, P., Dung, N. (eds) Geotechnics for Sustainable Infrastructure Development. Lecture Notes in Civil Engineering, vol 62. Springer, Singapore. https://doi.org/10.1007/978-981-15-2184-3_138
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DOI: https://doi.org/10.1007/978-981-15-2184-3_138
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