Abstract
After chemical, morphological, and mechanical characterization of ductile cast iron, the damage mechanisms were studied by tensile tests inside the scanning electron microscope (SEM). The evolutions of Young’s modulus and of Poisson’s ratio were measured in uniaxial tensile tests. Compression tests were used to measure the pressure sensitivity coefficient of the flow stress. The damage is produced by early initiation of cavities at the pole cap of graphite nodules by debonding of the interface, followed by the growth of cavities. The mechanical behavior was modeled in the elastic region by calculating the Hashin-Shtrickman bounds. This provided the elastic constants for the graphite nodules. The plastic behavior was modeled by considering that the graphite nodules were replaced by voids. The critical interfacial stress for debonding was determined by analytical as well as by finite-element calculations. The growth rate of cavities was deduced from the evolution of the Poisson’s ratio and was compared with predictions from Gurson’s potential. The stress-strain behavior could be modeled either by extension of the Mori-Tanaka analysis in the plastic range or by finite-element computations. This allowed a fair prediction of the observed behavior.
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W.L. Bradley and M.N. Srinivasan: Int. Mater. Rev., 1990, vol. 35 (3), p. 129.
R.K. Nanstad: AFS Trans., 1975, p. 245.
Börje Östensson: Scandinavian, J. Metall., 1973, vol. 2, N DG 4, p. 194.
R. Salzbrenner: J. Mater. Sci., 1987, vol. 22, p. 2135.
M.S. Cayard and W.L. Bradley: Eng. Fract. Mech., 1989, vol. 33, p. 121.
D. Rousseau and D. François: Mém. Sci. Rev. Mét., 1978, May, p. 281.
Y.Q. Sun and D. François: Rev. Métall., 1984, Oct., p. 809.
Y.Q. Sun, J.M. Detraux, G. Touzot, and D. François: Mém. Sci. Rev. Mét., 1983, Apr., p. 183.
A. Le Douaron, R. Lafont, D. Poulain, and C. Cloitre: 5th Int. Conf. on Francture, Cannes, France, Mar. 29–Apr. 3, 1981, D. Francois, ed., Pergamon Press, New York, 1981, p. 255.
W.L. Bradley, K.E.M. Kinney, and P.C. Gerhardt: Fracture Mechanics, ASTM STP 905, ASTM, Philadelphia, PA, 1986, vol. 17, pp. 75–94.
F.J. Worzala and R.K. Nanstad: Proc. 5th Conf. on Dimensioning and Strength Calculations, Budapest, 1974, Akademiaai Kiado, Budapest, vol. 1, 1974, pp. 265–76.
F. Montheillet and F. Moussy: in Endommagement GRECO Grandes Déformations et Endommagement, Les Editions de Physique, Les Ulis, France, 1986.
F.Z. Li and J. Pan: Trans. ASME, 1990, vol. 57, p. 40.
A. Needleman and J.R. Rice: in Mechanics of Sheet Metal Forming, Donald P. Koistinen and Neng-Ming Wang, eds., Plenum Publishing Corporation, New York, NY, 1978.
A.L. Gurson: J. Engg. Mater. Technol., 1977, vol. 99, pp. 2–15.
Z. Hashin and S. Shtrikman: J. Mech. Phys. Solids, 1962, vol. 10, pp. 335–52.
B. Jaoul: Etude de la Plasticité et Application aux Métaux, Dunod, Paris, 1965, p. 458.
T. Mori and K. Tanaka: Acta Metall., 1973, vol. 21, p. 571.
L. Ledoux: Thesis, Ecole Centrale de Paris, Paris, 1989.
D. Francois, A. Pineau, and A. Zaoui: Comportement Mécanique des Matériaux—Elasticité et Plasticité, Hermès, Paris, 1991.
V. Tvergaard and A. Needleman: Int. J. Fract., 1981, vol. 17, pp. 389–407.
P. Bompard: Proc. ICF6, New Delhi, 1984, p. 1279.
F.R.N. Nabarro: Theory of Crystal Dislocations, Clarendon Press, Oxford, United Kingdom, 1967.
H. Biausser: in Le Livre de l’Acier, G. Beranger, G. Henry, and G. Sanz, Technique and Documentation—Lavoisier, Paris, 1994.
T.C. Lindley and R.E. Smallman: Acta Metall., 1963, vol. 11, pp. 361–71.
J.D. Eshelby: Proc. Roy. Soc., London, 1957, vol. 241, p. 376.
G.J. Weng: Int. J. Eng. Science, 1984, vol. 22, p. 845.
N. Bourgeois, M. Keyvani, D. Baptiste, and D. François: MECAMAT 93, Fontainebeau, France, July 6–8, 1993, Eyrolles, Paris, 1993, pp. 448–59.
G.P. Tandon and G.J. Weng: J. Appl. Mech., 1988, vol. 55, pp. 126–35.
R.J. Bourcier, D.A. Koss, R.E. Smelser, and O. Richmond: Acta Metall., 1986, vol. 34 (12), pp. 2443–53.
B. Tie: Ph.D. Thesis, Ecole Centrale de Paris, Paris, 1993.
D.D. Double and A. Hellawell: Proc. 2nd. Int. Symp. on the Metallurgy of Cast Iron, Geneva, 1974, pp. 509–25.
H. Era, K. Kishitake, K. Nagai, and Z.Z. Zhang: Mater. Sci. Technol., 1992, vol. 8, pp. 257–61.
P. Dierickx, C. Verdu, J.-C. Rouais, A. Reynaud and R. Fougeres: 5th Int. Symp. on the Physical Metallurgy of Cast Iron, Nancy, France, 1994.
B. Miao, K. Fang, W. Bian, and G. Liu: Acta Metall., 1990, vol. 38, pp. 2167–74.
T. Mitsuharu and U. Yoshisada: Trans. JIM, 1979, vol. 20, pp. 569–76.
B. Lux, I. Minkoff, F. Mollard, and E. Thury: 2nd Int. Symp. on the Metall. of Cast Iron, Geneva, 1974, pp. 495–505.
B. Marini, F. Mudry, and A. Pineau: Eng. Fract. Mech., 1985, vol. 22 (6), pp. 989–96.
R. Becker, R.E. Smelser, and O. Richmond: J. Mech. Phys. Solids, 1989, vol. 37 (1), pp. 111–29.
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Dong, M.J., Prioul, C. & François, D. Damage effect on the fracture toughness of nodular cast iron: Part I. Damage characterization and plastic flow stress modeling. Metall Mater Trans A 28, 2245–2254 (1997). https://doi.org/10.1007/s11661-997-0182-7
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DOI: https://doi.org/10.1007/s11661-997-0182-7