A numerical model for reinforced concrete structures

International Journal of Solids and Structures

Volumn 42, Issue 5-6, 2005, Pages 1327-1354

  Rabczuk, T ^a,b   Akkermann, J ^a   Eibl, J ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

^b Northwestern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONCRETE CONSTRUCTION; CRACK PROPAGATION; FRACTURE; LOADS (FORCES); STRESS ANALYSIS; TENSILE TESTING;

BIAXIAL STRESS; CONTINUUM MODELS; FAILURE MECHANISM; MODEL FRACTURE;

REINFORCED CONCRETE;

EID: 9944233452     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2004.07.019     Document Type: Article

References (49)

1. Akkermann, J., 2000. Rotationsverhalten von Stahlbeton Rahmenecken; Dissertation, Institut fuer Massivbau und Baustofftechnologie, Universitaet Karlsruhe.
2. Bazant, Z.P., 1991. Why continuum damage is nonlocal: micromechanics arguments. Journal of Engineering Mechanics 117 (5), 1070-1087.
3. Bazant, Z.P., 1998. Modelling of compressive strain softening, fracture and size effect in concrete, Computational Modelling of Concrete Structures, de Borst, Bicanic, Mang, Meschke, (Eds.), EURO-C, Balkema, Rotterdam, 249-264.
4. Bazant, Z.P., Oh, B.H., 1983. Crack band theory for fracture of concrete. Materials and Structures (January-February), 155-177.
5. Bazant, Z.P., Pihaudier-Gabot, G., 1988. Nonlocal continuum damage, localization instability and convergence. Journal of Applied Mechanics 55, 287-293.
6. Bazant, Z.P., Prat, P., 1988. Microplane model for brittle plastic materials. I: Theory, II: Verification. Journal of Engineering Mechanics ASCE 114, 1672-1702.
7. Bazant, Z.P., Ozbolt, J., 1990. Nonlocal microplane model for fracture, damage and size effect in structures. Journal of Engineering Mechanics ASCE 116 (11), 2485-2505.
8. Bazant, Z.P., Xiang, Y., Prat, P.C., 1996. Microplane model for concrete. I: Stress-strain boundaries and finite strain, II: Data delocalization and verification. Journal of Engineering Mechanics ASCE 122, 245-262.
9. Bazant, Z.P., Caner, F.C., Carol, I., Adley, M.D., Akers, S.A., 2000. Microplane model M4 for concrete. I: Formulation with work-conjugate deviatoric stress. Journal of Engineering Mechanics ASCE 126, 944-953.
10. Belytschko, T., Black, T., 1999. Elastic crack growth in finite elements with minimal remeshing. International Journal for Numerical Methods in Engineering 45 (5), 601-620.
11. Belytschko, T., Lu, Y.Y., 1995. Element-free Galerkin methods for static and dynamic fracture. International Journal of Solids and Structures 32, 2547-2570.
12. Belytschko, T., Lu, Y.Y., Gu, L., 1994. Element-free Galerkin methods. International Journal for Numerical Methods in Engineering 37, 229-256.
13. Belytschko, T., Moes, N., Usui, S., 2001. Parimi C.: Arbitrary discontinuities in finite elements. International Journal for Numerical Methods in Engineering 50 (4), 993-1013.
14. Carol, I., Bazant, Z.P., 1997. Damage and plasticity in microplane theory. International Journal of Solids and Structures 34, 3807-3835.
15. CEB-FIP MODEL CODE 1990 (MC90), 1993. Design code for concrete structures. Thomas Telford, London.
16. Cox, J.V., Herrmann, L.R., 1998a. Development of a plasticity bond model for steel reinforcement. Mechanics of Cohesive-Frictional Materials 3, 155-180.
17. Cox, J.V., Herrmann, L.R., 1998b. Development of a plasticity bond model for steel reinforcement. Mechanics of Cohesive-Frictional Materials 3, 155-180.
18. Darwin, D., Pecknold, D.A., 1977. Nonlinear biaxial stress-strain law for concrete. Journal of the Engineering Mechanics Division, Proc. of the ASCE 103 (EM2), 229-241.
19. Den Ujil, J., Bigaj, A.J., 1996. A bondmodel for ribbed bars based on concrete loaded in compression. Heron 41 (3), 201-226.
20. DeVree, J.H., Brekelmans, W.A.M., vanGils, M.A.J., 1995. Comparison of nonlocal approaches in continuum damage mechanics. Computers and Structures 55 (4), 581-588.
21. Eibl, J., Neuroth, U., 1988. Untersuchungen zur Druckfestigkeit von bewehrtem Beton bei gleichzeitig wirkendem Querzug, Abschlussbericht, Institut fuer Massivbau und Baustofftechnologie, Universitaet Karlsruhe.
22. Eibl, J., Stempniewski, L., Rabczuk, T., 2001. Untersuchungen zum Endbereich von im Spannbett vorgefertigten Fertigteiltraegern-Hohlplatten. Abschlussbericht, Institut fuer Massivbau und Baustofftechnologie, Universitaet Karlsruhe.
23. Etse, G., Willam, K., 1999. Failure analysis of elastoviscoplastic material models. ASCE Journal of Engineering Mechanics 125 (1), 60-69.
24. Hillerborg, A., Modeer, M., Petersson, P.E., 1976. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cement and Concrete Research 6, 773-782.
25. Jansen, D.C., Shah, S.P., 1997. Effect of length on compressive strain softening of concrete. ASCE, Journal of Engineering Mechanics 123(1).
26. Jirasek, M., 1993. Modeling of fracture and damage in quasibrittle materials, Ph.D. thesis, Northwestern University, USA.
27. Jirasek, M., Zimmermann, T., 1998. Rotating crack model with transition to scalar damage. ASCE Journal of Engineering Mechanics 124 (3), 277-284.
28. Kolleger, J., Mehlhorn, G., 1990. Experimentelle Untersuchungen zur Bestimmung der Druckfestigkeit des gerissenen Stahlbetons bei einer Querzugbeanspruchung, DAfStb Heft 413, Berlin, Germany.
29. Kupfer, H., 1973. Das Verhalten des Betons unter mehrachsiger Kurzzeitbelastung unter besonderer Beruecksichtigung der zweiachsigen Beanspruchung, DAfStb Heft 229, Berlin, Germany.
30. Lemaitre, L., 1971. Evaluation of dissipation and damage in metal submitted to dynamic loading, In: Proceedings ICM 1.
31. Liang, Q.Q., Xie, Y.M., Steven, G.P., 2001. Generating optimal srut-and-tie models in prestressed concrete beams by performance-based optimazation. ACI Structural Journal 98 (2), 226-232.
32. Liang, Q.Q., Uy, B., Steven, G.P., 2002. Performance-based optimization for stut-tie modeling of structural concrete. Journal of Structural Engineering ASCE 128 (6), 815-823.
33. Markeset, G., Hillerborg, A., 1995. Softening of concrete in compression-localization and size effects. Cement and Concrete Research 25 (4), 702-708.
34. Meyer, J., Koenig, G., 1998. Verformungsfaehigkeit der Betonbiegedruckzone-Spannungs-Dehnungs-Linien fuer die nichtlineare Berechnung, Beton- und Stahlbeton 93, Heft 7, pp. 189-194, Heft 8, pp. 224-228.
35. Ozbolt, J., 1995. Massstabseffekt und Duktilitaet von Beton- und Stahlbetonkonstruktionen, Habilitationsschrift. Institut fuer Werkstoffe im Bauwesen, Universitaet Stuttgart.
36. Ramm, E., 1981. Strategies for tracing nonlinear response near limit points. In: Wunderlich, E. (Ed.), Nonlinear Finite Element Analysis in Structural Mechanics. Springer Verlag, Berlin, pp. 63-89.
37. Rots, J.G., 1988. Computational modeling of concrete fracture. Ph.D. thesis, Delft University of Technology.
38. Rots, J.G., 1992. Removal of finite elements in strain-softening analysis of tensile fracture. In: Bazant, Z.P. (Ed.), Proceeding of the First International Conference on Fracture Mechanics of concrete Structures FraMCoS1. Elsevier Applied Science, London, New York, pp. 330-338.
39. Roelfstra, P.E., Wittmann, F.H., 1986. Numerical method to link strain softening with failure of concrete. In: Wittmann, F.H. (Ed.), Fracture Toughness and Fracture Energy of Concrete. Elsevier, pp. 164-175.
40. Samaniego, E., Oliver, X., Huespe, A., 2003. Contributions to the continuum modelling of strong discontinuities on two-dimensional solids. Monograph CIMNE No. 72, International Center for Numerical Methods in Engineering, Barcelona, Spain.
41. Schweitzerhof, K., 1989. Quasi-Newton Verfahren und Kurvenverfolgungsalgorithmen fuer die Loesung nichtlinearer Gleichungssysteme in der Strukturmechanik. Institut fuer Baustatik, Unversitaet Karlsruhe.
42. Sluys, L.J., 1992. Wave propagation, localisation and dispersion in softening solids. PhD thesis, TH Delft.
43. Walraven, J.C., 1980. Aggregate Interlock: A theoretical and epxerimental analysis Ph D thesis, TH Delft.
44. van Mier, J.G.M., 1984. Strain softening of concrete under multiaxial loading conditions. Ph.D. thesis, TU Eindhoven.
45. van Mier, J.G.M., Shah, S.P. et al., 1997. Strain-softening of concrete in uniaxial compression. Materials and Structures 30, 195-209.
46. Vonk, R.A., 1993. A micromechanical investigation of softening of concrete loaded in compression. Heron 38 (3).
47. Wells, G.N., Sluys, L.J., 2001. A new method for modelling cohesive cracks using finite elements. International Journal for Numerical Methods in Engineering 50, 2667-2682.
48. Willam, K., Pramono, E., Sture, S., 1987. Fundamental issues of smeared crack models. SEM/RILEM International Conference on Fracture of Concrete and Rock, Houston, Texas, June.
49. Xu, X.P., Needleman, A., 1996. Numerical simulations of dynamic crack growth along an interface. International Journal of Fracture 74 (4), 289-324.