Formulation and numerical implementation of a constitutive law for concrete with strain-based damage and plasticity

International Journal of Non-Linear Mechanics

Volumn 43, Issue 5, 2008, Pages 399-415

  Häussler Combe, Ulrich ^a   Hartig, Jens ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Concrete; Crack band model; Isotropic damage; Non linear analysis; Plasticity

Indexed keywords

AXIAL COMPRESSION; CONCRETE TESTING; CONSTITUTIVE EQUATIONS; DAMAGE TOLERANCE; NONLINEAR ANALYSIS; PLASTICITY;

CRACK BAND MODELS; ISOTROPIC DAMAGE; MODEL PARAMETER DETERMINATION;

CONCRETES;

EID: 43249112695     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2008.01.005     Document Type: Article

References (39)

1. Kupfer H., and Hilsdorf H.K. Behavior of concrete under biaxial stresses. ACI J. 66 (1969) 656-666
2. Gerstle K.H., et al. Behavior of concrete under multiaxial stress states. J. Eng. Mech. 106 (1980) 1383-1403
3. Hussein A., and Marzouk H. Behavior of high-strength concrete under biaxial stresses. ACI Mater. J. 97 (2000) 27-37
4. Wang C., Guo Z., and Zhang X. Experimental investigation of biaxial and triaxial compressive concrete strength. ACI Mater. J. 84 (1987) 92-100
5. Imran I., and Pantazopoulou J. Experimental study of plain concrete under triaxial stress. ACI Mater. J. 93 (1996) 589-601
6. Kotsovos M.D., and Newman J.B. Generalized stress-strain relations for concrete. J. Eng. Mech. 104 (1978) 845-856
7. Li Q., and Ansari F. Mechanics of damage and constitutive relationships for high-strength concrete in triaxial compression. J. Eng. Mech. 125 (1999) 1-10
8. Sfer D., Carol I., Gettu R., and Etse G. Study of the behavior of concrete under triaxial compression. J. Eng. Mech. 128 (2002) 156-163
9. Curbach M., Hampel T., Scheerer S., and Speck K. Hochleistungsbeton unter zwei- und dreiaxialer Beanspruchung. Beton- Stahlbetonbau 97 (2002) 275-280
10. Z. Guo, Y. Zhou, D. Nechvatal, Evaluation of the multiaxial strength of concrete tested at the Technische Universität München, Deutscher Ausschuss für Stahlbeton (DAfStb) Heft 447, 1995.
11. van Mier J.G.M. Fracture of concrete under complex stress. Heron 31 3 (1986) 1-90
12. Carol I., Rizzi E., and Willam K. A unified theory of elastic degradation and damage based on a loading surface. Int. J. Solids Struct. 31 (1994) 2835-2865
13. Dougill J.W. On stable progressively fracturing solids. J. Appl. Math. Phys. 27 (1976) 423-437
14. L.M. Kachanov, On Rupture Time Under Condition of Creep, vol. 8, Izvestia Akademi Nauk USSR, Otd. Techn. Nauk, Moscow, 1958, pp. 26-31.
15. Simo J.C., and Ju J.W. Strain- and stress-based continuum damage models-I. Formulation, II. Computational aspects. Int. J. Solids Struct. 23 (1987) 821-869
16. Mazars J., and Pijaudier-Cabot G. Continuum damage theory-application to concrete. J. Eng. Mech. 115 (1989) 345-365
17. Ortiz M. A constitutive theory for the inelastic behavior of concrete. Mech. Mater. 4 (1985) 67-93
18. Lemaitre J. A Course on Damage Mechanics (1992), Springer, Berlin
19. Carol I., Rizzi E., and Willam K. On the formulation of anisotropic elastic degradation. I. Theory based on a pseudo-logarithmic damage tensor rate. II. Generalized pseudo-Rankine model for tensile damage. Int. J. Solids Struct. 38 (2001) 491-546
20. Govindjee S., Kay G.J., and Simo J.C. Anisotropic modelling and numerical simulation of brittle damage in concrete. Int. J. Numer. Methods Eng. 38 (1995) 3611-3633
21. E. Hansen, K. Willam, I. Carol, A two-surface anisotropic damage/plasticity model for plain concrete, in: R. de Borst, et al. (Eds.), Fracture Mechanics of Concrete Structures, Swets & Zeitlinger, Lisse, 2001, pp. 549-556.
22. Krätzig W., and Pölling J. An elasto-plastic damage model for reinforced concrete with a minimum number of material parameters. Comput. Struct. 82 (2004) 1201-1215
23. Lemaitre J. Coupled elasto-plasticity and damage constitutive equations. Comput. Methods Appl. Mech. Eng. 51 (1985) 31-49
24. Lemaitre J., and Desmorat R. Engineering Damage Mechanics (2005), Springer, Berlin
25. Chen W.F., and Saleeb A.F. Constitutive Equations for Engineering Materials, Volume 2: Plasticity and Modeling (1994), Elsevier Science, Amsterdam
26. Jirázek M., and Bažant Z.P. Inelastic Analysis of Structures. first ed. (2002), Wiley, New York
27. Rizzi E., Maier G., and Willam K. On failure indicators in multi-dissipative materials. Int. J. Solids Struct. 33 (1996) 3187-3214
28. Simo J.C., and Hughes T.J.R. Computational Inelasticity. first ed. (1998), Springer, New York
29. Chen W.F., and Saleeb A.F. Constitutive Equations for Engineering Materials, Volume 1: Elasticity and Modeling. second ed. (1994), Elsevier Science, Amsterdam
30. Etse G., and Willam K. Fracture energy formulation for inelastic behavior of plain concrete. J. Eng. Mech. 120 (1994) 1983-2011
31. Hsieh S.S., Ting E., and Chen W.F. A plasticity fracture-model for concrete. Int. J. Solids Struct. 18 (1982) 181-197
32. Ottosen N.S. A failure criterion for concrete. J. Eng. Mech. 103 (1977) 527-535
33. Willam K.J., and Warnke E. Constitutive model for the triaxial behavior of concrete. IABSE Proceedings. International Association for Bridge and Structural Engineering vol. 19 (1975)
34. Comité Euro-International du Béton, CEB-FIP Model Code 1990, Thomas Telford, London, 1993.
35. Bažant Z.P., and Jirázek M. Nonlocal integral formulations of plasticity and damage: survey of progress. J. Eng. Mech. 128 (2002) 1119-1149
36. Häußler-Combe U. Zur Verwendung von Stoffgesetzen mit Entfestigung in numerischen Rechenverfahren. Bauingenieur 82 (2007) 286-298
37. B. Winkler, Traglastuntersuchungen von unbewehrten und bewehrten Betonstrukturen auf der Grundlage eines objektiven Werkstoffgesetzes für Beton, Ph.D. Thesis, University of Innsbruck, 2001.
38. Feist Ch., Kerber W., Lehar H., and Hofstetter G. A comparative study of numerical models for concrete cracking. In: Neittaanmäki P., et al. (Ed). Proceedings of European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2004) (2004) (CD-ROM)
39. M. Arrea, A.R. Ingraffea, Mixed-mode crack propagation in mortar and concrete, Technical Report 81-13, Department of Structural Engineering, Cornell University, Ithaka, 1982.