A 3D visco-elasto-plasto damage constitutive model of concrete under long-term effects

A 3D visco-elasto-plasto damage constitutive model of concrete under long-term effects

Beaudin Freinrich Dongmo, Gianluca Mazzucco, Beatrice Pomaro, Jiangkun Zhang, Carmelo Majorana, Valentina Salomoni

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Abstract. A comprehensive 3D visco-elasto-plasto-damage constitutive model of concrete is proposed to analyze its behaviour under long-term and cyclic loadings. This model combines the visco-elasticy and plasticity theories together with damage mechanics. The work aims at providing an efficient model capable of predicting the material behaviour, taking into account time-dependent effects at the mesoscale. The visco-elastic part is modeled within the framework of the linear visco-elasticity theory. The creep function is evaluated with the aid of the B3 model by Bažant and Baweja, and implemented via the exponential algorithm. The modified Menétrey-Willam pressure-dependent yield surface, and a non-associated flow rule are used for the plastic formulation of the model. The damage part of the model considers two exponential damage parameters: one in tension, and one in compression, that account for a realistic description of the transition from tensile to compressive failure. After discussing the numerical implementation, the proposed model is calibrated, and numerical results at the mesoscale level are compared to experimental results.

Keywords
Visco-Elasto-Plasto-Damage, Long-Term Effects, Concrete, Creep

Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Beaudin Freinrich Dongmo, Gianluca Mazzucco, Beatrice Pomaro, Jiangkun Zhang, Carmelo Majorana, Valentina Salomoni, A 3D visco-elasto-plasto damage constitutive model of concrete under long-term effects, Materials Research Proceedings, Vol. 26, pp 34-40, 2023

DOI: https://doi.org/10.21741/9781644902431-6

The article was published as article 6 of the book Theoretical and Applied Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] C. E. Majorana, V. Salomoni, B. A. Schrefler, Hygrothermal and mechanical model of concrete at high temperature, Materials and structures 31(1998) 378-386. https://doi.org/10.1007/BF02480710
[2] X. Ren, Q. Wang, R. Ballarini, X. Gao, Coupled creep-damage-plasticity model for concrete under long-term loading, Journal of Engineering Mechanics 146 (2020) 04020027. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001748
[3] P. Yu, R. Li, D. Bie, X. Yao, X. Liu, Y. Duan, A coupled creep and damage model of concrete considering rate effect, Journal of Building Engineering 45 (2022) 103621. https://doi.org/10.1016/j.jobe.2021.103621
[4] G. Pijaudier-Cabot, J. Mazars, Handbook of materials behavior models, three-volume set, Elsevier, 2001.
[5] G. Mazzucco, B. Pomaro, G. Xotta, C. E. Maiorana, V. A. Salomoni, Tomography reconstruction of concrete materials for mesoscale modelling, Engineering Computations 37 (2020) 2275–2291. https://doi.org/10.1108/EC-10-2019-0448
[6] P. Menétrey, K.J. Willam, Triaxial failure criterion for concrete and its generalization, Structural Journal 92 (1995) 311–318. https://doi.org/10.14359/1132
[7] Z. P. Bažant, S. Baweja, Creep and shrinkage prediction model for analysis and design of concrete structures: Model b3, ACI Special Publications 194 (2000) 1–84.
[8] P. Grassl, D. Xenos, U. Nyström, R. Rempling, K. Gylltoft, Cdpm2: A damage-plasticity approach to modelling the failure of concrete, International Journal of Solids and Structures 50 (2013) 3805–3816. https://doi.org/10.1016/j.ijsolstr.2013.07.008
[9] P. Grassl, K. Lundgren, K. Gylltoft, Concrete in compression: a plasticity theory with a novel hardening law, International Journal of Solids and Structures 39 (2002) 5205–5223. https://doi.org/10.1016/S0020-7683(02)00408-0
[10] Q. Yu, Z. P. Bažant, R. Wendner, Improved algorithm for efficient and realistic creep analysis of large creep-sensitive concrete structures, ACI Structural Journal 109 (2012) 665. https://doi.org/10.14359/51684044