Constitutive models for cohesive zones in mixed-mode fracture of plain concrete

Engineering Fracture Mechanics

Volumn 76, Issue 14, 2009, Pages 2281-2297

  Lens, Luciani N ^a   Bittencourt, Eduardo ^b   d'Avila, Virgínia M R ^b  

^a UNIVERSIDADE ESTADUAL DO OESTE DO PARANÁ   (Brazil)

^b FEDERAL UNIVERSITY OF RIO GRANDE DO SUL   (Brazil)

Author keywords

Cohesive zone models; Concrete; Finite element analysis; Mixed mode fracture

Indexed keywords

COHESIVE ZONE MODELS; COHESIVE ZONES; COUPLED MODELS; CRACK OPENING; FINITE ELEMENT; FINITE ELEMENT ANALYSIS; FOUR-POINT; FRACTURE SURFACES; KEY VARIABLES; MIXED-MODE FRACTURE; MODE II; NOTCHED BEAM; PLAIN CONCRETE; PLASTIC POTENTIALS; SINGLE-EDGE NOTCHED BEAMS;

CONCRETE BEAMS AND GIRDERS; CONCRETES; CONSTITUTIVE MODELS; COUPLED CIRCUITS; FRACTURE; HYDROGEN EMBRITTLEMENT; TRACTION (FRICTION);

FINITE ELEMENT METHOD;

EID: 69249245291     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2009.07.020     Document Type: Article

References (35)

1. Wawrzynek P.A., and Ingraffea A.R. Interactive finite-element analysis of fracture processes - an integrated approach. Theor Appl Fract Mech 8 (1987) 130-150
2. Bittencourt T.N., Wawrzynek P.A., Ingraffea A.R., and Sousa J.L. Quasi-automatic simulation of crack propagation for 2D LEFM problems. Engng Fract Mech 55 2 (1996) 321-334
3. Belytschko T., and Black T. Elastic crack growth in finite elements with minimal remeshing. Int J Numer Methods Engng 45 (1999) 601-620
4. Xu X.P., and Needleman A. Numerical simulations of fast crack growth in brittle solids. J Mech Phys Solids 42 (1994) 1397-1424
5. Camacho G.T., and Ortiz M. Computational modeling of impact damage in brittle materials. Int J Solids Struct 33 (1996) 2899-2938
6. Tijssens M.G.A., Sluys B.L.J., and Van der Giessen E. Numerical simulation of quasi-brittle fracture using damaging cohesive surface. Eur J Mech: A/Solids 19 (2000) 761-779
7. Carol I., López C.M., and Roa O. Micromechanical analysis of quasi-brittle materials using fracture-based interface elements. Int J Num Methods Engng 52 (2001) 193-215
8. Basche H.D., Rhee I., William K.J., and Shing P.B. Analysis of shear capacity of lightweight concrete beams. Engng Fract Mech 74 (2007) 179-193
9. Hogberg J.L. Mixed mode cohesive law. Int J Fract 141 (2006) 549-559
10. Walter R., and Olesen J.F. Cohesive mixed mode fracture modeling and experiments. Engng Fract Mech 75 (2008) 5163-5176
11. Jenq Y., and Shah S.P. Mixed mode fracture of concrete. Int J Fract 38 (1988) 123-142
12. Bocca P., Carpinteri A., and Valente S. Size effects in the mixed mode crack propagation: softening and snap-back analysis. Engng Fract Mech 35 (1990) 159-170
13. Cervenka J. Discrete crack modeling in concrete structures. PhD Thesis, University of Colorado; 1994.
14. García VO, Gettu R, Carol I. Numerical analysis of mixed mode fracture in concrete using interface elements. In: Oñate E, editor. ECCOMAS European congress on computational methods in applied science and engineering; 2000.
15. Di Prisco M., Ferrara L., Meftah F., Pamin J., de Borst R., Mazars J., and Reynouard J. Mixed mode fracture in plain and reinforced concrete: some results on benchmark tests. Int J Fract 103 (2000) 127-148
16. Gálvez J.C., Cendón D.A., and Planas J. Influence of shear parameters on mixed mode fracture of concrete. Int J Fract 118 (2002) 163-189
17. Cendón D.A., Gálvez J.C., Elices M., and Planas J. Modeling the fracture of concrete under mixed loading. Int J Fract 103 (2000) 293-310
18. Ponthot JP. Traitement unifié de la mécanique des milieux continus solides en grandes transformations par la méthode des éléments finis. PhD Thesis, Université de Liège; 1995.
19. Needleman A. Continuum model for void nucleation by inclusion debonding. J Appl Mech 54 (1987) 525-531
20. Beltz G.E., and Rice J.R. Dislocation nucleation versus cleavage decohesion at crack tip. In: Lowe T.C., Rollett A.D., Follansbee P.S., and Daehn G.S. (Eds). Modeling the deformation of crystalline solids (1991), The Minerals, Metals & Materials Society 457-480
21. Rots JG. Computational modeling of concrete fracture. PhD Thesis, Delft University of Technology; 1988.
22. Planas J., Elices M., Guinea G.V., Gómes F.J., Cendón D.A., and Arbilla I. Generalizations and specializations of cohesive crack models. Engng Fract Mech 70 (2003) 1759-1776
23. de Borst R., Remmers J.J.C., and Needleman A. Mesh-independent discrete numerical representations of cohesive-zone models. Engng Fract Mech 73 (2006) 160-177
24. Lens LN, Bittencourt E, d'Avila VMR. Cohesive laws to model concrete rupture - a methodology that takes mesh effects into consideration. In: Elaskar SA, Pilotta EA, Torres GA, editors. Mecánica computacional. Asociación Argentina de Mecánica Computacional; 2007. p. 1440-52.
25. Hillerborg A., Modéer M., and Peterson P.E. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cem Concr Res 6 (1976) 773-782
26. CEB-FIP Model Code 1990 - Bulletin d'Infornacion. Comité Euro-International du Béton; 1993.
27. Xu S. Determination of parameters in the bilinear, Reinhardt́s non-linear and exponentially non-linear softening curves and their physical meanings. Werkstoffe und Werkstoffprüfung im Bauwesen. Libri Bod; 1999. p. 410-24.
28. Carpinteri A., Cornetti P., Barpi F., and Valente S. Cohesive crack model description of ductile to brittle size-scale transition: dimensional analysis vs. re-normalization group theory. Engng Fract Mech 70 (2003) 1809-1839
29. Bažant Z.P., and Pfeiffer P.A. Shear fracture tests of concrete. Mater Struct 19 (2006) 111-121
30. Carpinteri A., Valente S., Ferrara G., and Melchiorri G. Is mode II fracture energy a real material property?. Comput Struct 48 (1993) 397-413
31. Gálvez J.C., Elices M., Guinea G.V., and Planas J. Mixed mode fracture of concrete under proportional and non-proportional loading. Int J Fract 94 (1998) 267-284
32. Nooru-Mohamed MB. Mixed mode fracture of concrete: an experimental approach. PhD Thesis, Delft University of Technology; 1992.
33. Ballatore E., Carpinteri A., Ferrara G., and Melchiorri G. Mixed mode fracture energy of concrete. Engng Fract Mech 35 (1990) 145-157
34. Chandra N., Li H., Shet C., and Ghonem H. Some issues in the application of cohesive zone models for metal-ceramic interfaces. Int J Solids Struct 39 (2002) 2827-2855
35. Bažant Z.P., and Oh B.H. Crack band theory for fracture of concrete. Mater Struct 93 16 (1983) 155-177