Browse > Article
http://dx.doi.org/10.12989/sem.2002.14.2.209

A fracture criterion for high-strength steel cracked bars  

Toribio, J. (Department of Materials Engineering, University of Salamanca, E.P.S., Campus Viriato)
Publication Information
Structural Engineering and Mechanics / v.14, no.2, 2002 , pp. 209-221 More about this Journal
Abstract
In this paper a fracture criterion is proposed for cracked cylindrical samples of high-strength prestressing steels of different yield strength. The surface crack is assumed to be semi-elliptical, a geometry very adequate to model sharp defects produced by any subcritical mechanism of cracking: mechanical fatigue, stress-corrosion cracking, hydrogen embrittlement or corrosion fatigue. Two fracture criteria with different meanings are considered: a global (energetic) criterion based on the energy release rate G, and a local (stress) criterion based on the stress intensity factor $K_I$. The advantages and disadvantages of both criteria for engineering design are discussed in this paper on the basis of many experimental results of fracture tests on cracked wires of high-strength prestressing steels of different yield strength and with different degrees of strength anisotropy.
Keywords
high-strength steel; cracked cylindrical bars; stress intensity factor; energy release rate; fracture criterion;
Citations & Related Records

Times Cited By Web Of Science : 5  (Related Records In Web of Science)
Times Cited By SCOPUS : 5
연도 인용수 순위
1 Elices, M., Llorca, J. and Astiz, M.A. (1994), "Fatigue of steels for concrete reinforcement and cables", In: Carpinteri, A. (Ed.), Handbook of Fatigue Crack Propagation in Metallic Structures. Elsevier, Amsterdam, 191-220.
2 Ovejero, E. (1998), "Fractura en ambiente agresivo de aceros perlíticos con distinto grado de trefilado", Ph.D. Thesis, University of La Coruna, Spain.
3 Valiente, A. and Elices, M. (1998), "Premature failure of prestressed steel bars", Engng. Failure Analysis, 5, 219-227.
4 Bui, H.D. and Dang Van, K. (1979), "Généralisation de la théorie de la rupture de Griffith", Journal Mécanique Appliquée, 3(2), 205-225.
5 Astiz, M.A. (1976), "Estudio de la estabilidad de una fisura superficial en un alambre de acero de alta resistencia", Ph.D. Thesis, Polytechnic University of Madrid, Spain.
6 D'Escatha, Y. and Labbens, R. (1978), "Remarque sur deux criteres de rupture fragile pour les problemes tridimensionnels en mode I", Journal Mecanique Appliquee, 2(4), 541-552.
7 Toribio, J. (1997), "A fracture criterion for high-strength steel notched bars", Engng. Fracture Mech., 57, 391-404.   DOI   ScienceOn
8 Toribio, J. and Toledano, M. (2000), "Fatigue and fracture performance of cold drawn wires for prestressed concrete", Constr. Building Mater., 14, 47-53.   DOI   ScienceOn
9 Parkins, R.N., Elices, M., Sanchez-Galvez, V. and Caballero, L. (1982), "Environment sensitive cracking of prestressing steels", Corros. Sci., 22, 379-405.   DOI   ScienceOn
10 Daoud, O.E.K. and Cartwright, D.J. (1984), "Strain energy release rates for a straight-fronted edge crack in a circular bar subject to bending", Engng. Fracture Mech., 19, 701-707.   DOI   ScienceOn
11 Ng, C.K. and Fenner, D.N. (1988), "Stress intensity factors for an edge cracked circular bar in tension and bending", Int. J. Fracture, 36, 291-303.   DOI   ScienceOn
12 Sih, G.C. and Lee, Y.D. (1989), "Review of triaxial crack border stress and energy behaviour", Theor. Appl. Fracture Mech., 12, 1-17.   DOI   ScienceOn
13 Toribio, J. and Ovejero, E. (1998a), "Effect of cold drawing on microstructure and corrosion performance of high-strength steel", Mech. Time-Dependent Mater., 1, 307-319.
14 Daoud, O.E.K., Cartwright, D.J. and Carney, M. (1978), "Strain energy release rate for a single-edge-cracked circular bar in tension", J. Strain Anal, 13, 83-89.   DOI   ScienceOn
15 Carpinteri, A. (1992b), "Elliptical-arc surface cracks in round bars", Fatigue Fracture Engng. Mater. Struct., 15, 1141-1153.   DOI
16 Bui, H.D. (1977), "An integral equations method for solving the problem of a plane crack of arbitrary shape", J. Mech. Physics Solids, 25, 29-39.   DOI   ScienceOn
17 Astiz, M.A. and Elices, M. (1980), "On the application of the stiffness derivative method to two and three dimensional fracture problems", Proc. Second Int. Conf. Numerical Methods in Fracture Mechanics, 93-106.
18 Astiz, M.A., Elices, M. and Valiente, A. (1986), "Numerical and experimental analysis of cracked cylindrical bars", In: Van Elst, H.C., Bakker, A. (Eds.), Fracture Control of Engineering Structures-ECF 6. EMAS, West Midlands, 65-74.
19 Athanassiadis, A. (1979), "Stabilite, tenacite, propagation des fissures dans les fils et barres en acier", Laboratoire Central des Ponts et Chaussees. Rapport de Recherche LPC $n^{\circ}$ 89.
20 Bush, A.J. (1976), "Experimentally determined stress-intensity factors for single-edge-crack round bars loaded in bending", Expl. Mech., 16, 249-257.   DOI   ScienceOn
21 Bush, A.J. (1981), "Stress intensity factors for single-edge-crack solid and hollow round bars loaded in tension", J. Test. Eval., 9, 216-223.   DOI
22 Carpinteri, A. (1992a), "Stress intensity factors for straight-fronted edge cracks in round bars", Engng. Fracture Mech., 42, 1035-1040.   DOI   ScienceOn
23 Elices, M. (1985), "Fracture of steels for reinforcing and prestressing concrete", In: Sih, G.C., DiTommaso, A. (Eds.), Fracture Mechanics of Concrete: Structural Application and Numerical Calculation, Martinus Nijhoff Publishers, Dordrecht, 226-271.
24 Salah el din, A.S. and Lovegrove, J.M. (1981), "Stress intensity factors for fatigue cracking of round bars", Int. J. Fatigue, 3, 117-123.   DOI   ScienceOn
25 Daoud, O.E.K. and Cartwright, D.J. (1985), "Strain energy release rate for a circular-arc edge crack in a bar under tension or bending", J. Strain Anal., 20, 53-58.   DOI   ScienceOn
26 Valiente, A. (1980), "Criterios de fractura para alambres", Ph.D. Thesis, Polytechnic University of Madrid, Spain.
27 Toledano, M. (1998), "Fatiga y fractura de aceros perlíticos con distinto grado de trefilado", Ph.D. Thesis, University of La Coruna, Spain.
28 Barsom, J.M. and Rolfe, S.T. (1987), Fracture & Fatigue Control in Structures, Prentice-Hall, Inc., Englewood Cliffs, New Jersey.
29 Toribio, J. and Ovejero, E. (1998b), "Microstructure orientation in a pearlitic steel subjected to progressive plastic deformation", J. Mater. Sci. Lett., 17, 1037-1040.
30 Athanassiadis, A., Boissenot, J.M., Brevet, P., Francois, D. and Raharinaivo, A. (1981), "Linear elastic fracture mechanics computations of cracked cylindrical tensioned bodies", Int. J. Fracture, 17, 553-566.   DOI   ScienceOn
31 Toribio, J. and Toledano, M. (1998), "Anisotropic fracture behaviour of eutectoid steels with different degrees of drawing", In: Brown, M.W., de los Ríos, E.R., Miller, K.J. (Eds.), Fracture from Defects-ECF12, EMAS, West Midlands, 685-690.
32 Astiz, M.A. (1986), "An incompatible singular elastic element for two- and three- dimensional crack problems", Int. J. Fracture, 31, 105-124.   DOI   ScienceOn
33 Blackburn, W.S. (1976), "Calculation of stress intensity factors for straight cracks in grooved and ungrooved shafts", Engng. Fracture Mech., 8, 731-736.   DOI   ScienceOn