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Zhou, Feng; Cheng, Guangxu (2015)
Publisher: Hindawi Publishing Corporation
Journal: Mathematical Problems in Engineering
Languages: English
Types: Article
Subjects: TA1-2040, Mathematics, Engineering (General). Civil engineering (General), QA1-939, Article Subject
A coupled plastic damage model with two damage scalars is proposed to describe the nonlinear features of concrete. The constitutive formulations are developed by assuming that damage can be represented effectively in the material compliance tensor. Damage evolution law and plastic damage coupling are described using the framework of irreversible thermodynamics. The plasticity part is developed without using the effective stress concept. A plastic yield function based on the true stress is adopted with two hardening functions, one for tensile loading history and the other for compressive loading history. To couple the damage to the plasticity, the damage parameters are introduced into the plastic yield function by considering a reduction of the plastic hardening rate. The specific reduction factor is then deduced from the compliance tensor of the damaged material. Finally, the proposed model is applied to plain concrete. Comparison between the experimental data and the numerical simulations shows that the proposed model is able to describe the main features of the mechanical performances observed in concrete material under uniaxial, biaxial, and cyclic loadings.
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    • Voyiadjis, G. Z., Taqieddin, Z. N.. Elastic plastic and damage model for concrete materials: part I—theoretical formulation. The International Journal of Structural Changes in Solids. 2009; 1 (1): 31-59
    • Mazars, J., Pijaudier-Cabot, G.. Continuum damage theory: application to concrete. Journal of Engineering Mechanics. 1989; 115 (2): 345-365
    • Lubarda, V. A., Krajcinovic, D., Mastilovic, S.. Damage model for brittle elastic solids with unequal tensile and compressive strengths. Engineering Fracture Mechanics. 1994; 49 (5): 681-697
    • Feenstra, P. H., De Borst, R.. A composite plasticity model for concrete. International Journal of Solids and Structures. 1996; 33 (5): 707-730
    • Ju, J. W.. On energy-based coupled elastoplastic damage theories: constitutive modeling and computational aspects. International Journal of Solids and Structures. 1989; 25 (7): 803-833
    • Yazdani, S., Karnawat, S.. A constitutive theory for brittle solids with application to concrete. International Journal of Damage Mechanics. 1996; 5 (1): 93-110
    • Lee, J., Fenves, G. L.. Plastic-damage model for cyclic loading of concrete structures. Journal of Engineering Mechanics. 1998; 124 (8): 892-900
    • Faria, R., Oliver, J., Cervera, M.. A strain-based plastic viscous-damage model for massive concrete structures. International Journal of Solids and Structures. 1998; 35 (14): 1533-1558
    • Wu, J. Y., Li, J., Faria, R.. An energy release rate-based plastic-damage model for concrete. International Journal of Solids and Structures. 2006; 43 (3-4): 583-612
    • Nguyen, G. D., Houlsby, G. T.. A coupled damage-plasticity model for concrete based on thermodynamic principles: part I: model formulation and parameter identification. International Journal for Numerical and Analytical Methods in Geomechanics. 2008; 32 (4): 353-389
    • Voyiadjis, G. Z., Taqieddin, Z. N., Kattan, P. I.. Theoretical formulation of a coupled elastic-plastic anisotropic damage model for concrete using the strain energy equivalence concept. International Journal of Damage Mechanics. 2009; 18 (7): 603-638
    • Chen, D., Du, C., Feng, X. G., Ouyang, F.. An elastoplastic damage constitutive model for cementitious materials under wet-dry cyclic sulfate attack. Mathematical Problems in Engineering. 2013; 2013-7
    • Shen, F., Zhang, Q., Huang, D.. Damage and failure process of concrete structure under uniaxial compression based on peridynamics modeling. Mathematical Problems in Engineering. 2013; 2013-5
    • Kachanov, L. M.. Time of the rupture process under creep conditions. Isv Akad Nauk SSR Otd Tekh Nauk. 1958; 8: 26-31
    • Shao, J. F., Jia, Y., Kondo, D., Chiarelli, A. S.. A coupled elastoplastic damage model for semi-brittle materials and extension to unsaturated conditions. Mechanics of Materials. 2006; 38 (3): 218-232
    • Chen, L., Shao, J. F., Huang, H. W.. Coupled elastoplastic damage modeling of anisotropic rocks. Computers and Geotechnics. 2010; 37 (1-2): 187-194
    • Taqieddin, Z. N., Voyiadjis, G. Z., Almasri, A. H.. Formulation and verification of a concrete model with strong coupling between isotropic damage and elastoplasticity and comparison to a weak coupling model. Journal of Engineering Mechanics. 2012; 138 (5): 530-541
    • Lubliner, J., Oliver, J., Oller, S., Oñate, E.. A plastic-damage model for concrete. International Journal of Solids and Structures. 1989; 25 (3): 299-326
    • Budiansky, B., O'connell, R. J.. Elastic moduli of a cracked solid. International Journal of Solids and Structures. 1976; 12 (2): 81-97
    • Horii, H., Nemat-Nasser, S.. Overall moduli of solids with microcracks: load-induced anisotropy. Journal of the Mechanics and Physics of Solids. 1983; 31 (2): 155-171
    • Shao, J. F., Rudnicki, J. W.. Microcrack-based continuous damage model for brittle geomaterials. Mechanics of Materials. 2000; 32 (10): 607-619
    • Meschke, G., Lackner, R., Mang, H. A.. An anisotropic elastoplastic-damage model for plain concrete. International Journal for Numerical Methods in Engineering. 1998; 42 (4): 703-727
    • Ortiz, M.. A constitutive theory for the inelastic behavior of concrete. Mechanics of Materials. 1985; 4 (1): 67-93
    • Pelà, L., Cervera, M., Roca, P.. An orthotropic damage model for the analysis of masonry structures. Construction and Building Materials. 2013; 41: 957-967
    • Wu, J. Y., Xu, S. L.. Reconsideration on the elastic damage/degradation theory for the modeling of microcrack closure-reopening (MCR) effects. International Journal of Solids and Structures. 2013; 50 (5): 795-805
    • Zhang, Y., Luo, R., Lytton, R. L.. Characterization of viscoplastic yielding of asphalt concrete. Construction and Building Materials. 2013; 47: 671-679
    • Salari, M. R., Saeb, S., Willam, K. J., Patchet, S. J., Carrasco, R. C.. A coupled elastoplastic damage model for geomaterials. Computer Methods in Applied Mechanics and Engineering. 2004; 193 (27–29): 2625-2643
    • Crisfield, M. A.. Non-Linear Finite Element Analysis of Solids and Structure. 1997
    • Lemaitre, J., Desmorat, R.. Engineering Damage Mechanics: Ductile, Creep, Fatigue and Brittle Failures. 2005
    • H. Kupfer, null, H. K. Hilsdorf, null, H. Rusch, null. Behavior of concrete under biaxial stresses. ACI Journal Proceedings. 1969; 66 (8): 656-666
    • Karson, I. D., Jirsa, J. O.. Behavior of concrete under compressive loadings. Journal of the Structural Division. 1969; 95 (12): 2535-2563
    • Gopalaratnam, V. S., Shah, S. P.. Softening response of plain concrete in direct tension. ACI Journal Proceedings. 1985; 82 (3): 310-323
    • Taylor, R. L.. FEAP: a finite element analysis program for engineering workstation. 1992 (UCB/SEMM-92 (Draft Version))
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