Technical Papers
Apr 20, 2012

Prediction of Ductile Fracture for S235JR Steel Using the Stress Modified Critical Strain and Gurson-Tvergaard-Needleman Models

Publication: Journal of Materials in Civil Engineering
Volume 24, Issue 12

Abstract

This paper presents results of experimental and numerical modeling of ductile fracture and failure of elements made of S235JR steel subjected to static tension. The prediction of failure was generally based on the stress modified critical strain (SMCS) model. The numerical simulations were performed using the Gurson-Tvergaard-Needleman (GTN) model, which takes into consideration the material structure. The approach applied in this study was based on the computational cells with microstructurally based length scales. The cell size and initial porosity were determined through microstructural examinations of S235JR steel. The parameters of the GTN model for S235JR steel were established on the basis of the microstructural analysis and the numerical modeling of tensile strength tests. As a result, it was possible to determine the SMCS failure criterion to predict ductile fracture for S235JR steel.

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References

Abaqus 6.10. (2010). Analysis user’s manual, Dassault Systèmes Simulia Corp., Providence, RI.
Anderson, T. L. (1995). Fracture mechanics, 2nd Ed., CRC Press, Boca Raton, FL.
Bandstra, J. P., Koss, D. A., Geltmacher, A., Matic, P., and Everett, R. K. (2004). “Modeling void coalescence during ductile fracture of a steel.” Mater. Sci. Eng. A, 366(2), 269–281.
Benzerga, A. A., Besson, J., and Pineau, A. (2004). “Anisotropic ductile fracture Part II: theory.” Acta Mater., 52(15), 4639–4650.
Berg, C. A. (1962). “The motion of cracks in plane viscous deformation.” Proc., 4th U.S. National Congress of Applied Mechanics, Rosenberg, R. M.ed., Vol. 2, ASME, New York, 885–892.
Brown, L. M., and Embury, J. D. (1973). “Initiation and growth of voids at second phase particles.” Proc., 3rd Int. Conf. on the Strength of Metals and Alloys, Institute of Metals; Iron and Steel Institute, London, 164–179.
Chi, W.-M., Kanvinde, A. M., and Deierlein, G. G. (2006). “Prediction of ductile fracture in steel connections using SMCS criterion.” Struct. Eng., 132(2), 171–181.
Chow, C. L., and Lu, T. J. (1992). “An analytical and experimental study of mixed-mode ductile fracture under nonproportional loading.” Int. J. Damage Mech., 1(2), 191–236.
Cordebois, J. P., and Sidoroff, F. (1982). “Endommanegament Anisotrope En Élasticité et Plasticité.” J. Méc. Théor. Appl., Numero Spécial, 45–60.
Dragon, A., and Chihab, A. (1985). “Quantifying of ductile fracture damage evolution by homogenization approach.” Transactions of the 8th Int. Conf. on Structural Mechanics in Reactor Technology, Centre de Conférences Albert Borschette, Brussels, Belgium, Aug. 19–23, 1985, v.L. Inelastic behaviour of materials and constitutive equations, 305–310.
Gurson, A. L. (1977). “Continuum theory of ductile rupture by void nucleation and growth: Part I—yield criteria and flow rules for porous ductile media.” J. Eng. Mater. Technol., 99(1), 2–15.
Hancock, J. W., and Brown, D. K. (1983). “On the role of strain and stress state in ductile failure.” J. Mech. Phys. Solids, 31(1), 1–24.
Hancock, J. W., and Mackenzie, A. C. (1976). “On the mechanisms of ductile failure in high-strength steels subjected to multi-axial stress-states.” J. Mech. Phys. Solids, 24(2–3), 147–160.
Johnson, G. R., and Cook, W. H. (1985). “Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures.” Eng. Fract. Mech., 21(1), 31–48.
Kachanov, L. M. (1958). “Time of the rupture process under creep conditions.” Izv. Akad Nauk SSSR Otd. Tekh. Nauk, 8, 26–31.
Kanvinde, A. M., and Deierlein, G. G. (2004). “Prediction of ductile fracture in steel moment connections during earthquakes using micromechanical fracture models.” 13th World Conf. on Earthquake Engineering Vancouver, Vancouver, B.C., 13 WCEE Secretariat, Aug. 1–6, Paper No. 297.
Kanvinde, A. M., and Deierlein, G. G. (2006). “Void growth model and stress modified critical strain model to predict ductile fracture in structural steels.” J. Struct. Eng., 132(12), 1907–1918.
Lemaitre, J. (1984). “How to use damage mechanics.” Nucl. Eng. Des., 80(2), 233–245.
Lemaitre, J. (1985). “A continuous damage mechanics model for ductile fracture.” J. Eng. Mater. Technol., 107(1), 83–89.
Marino, B., Mudry, F., and Pineau, A. (1985). “Experimental study of cavity growth in ductile rupture.” Eng. Fract. Mech., 22(6), 989–996.
McClintock, F. A. (1968). “A criterion for ductile fracture by the growth of holes.” J. Appl. Mech., 35(2), 363–371.
Mou, Y., and Han, R. P. S. (1996). “Damage evolution in ductile materials.” Int. J. Damage Mech., 5(3), 241–258.
Murzewski, J. (1992). “Brittle and ductile damage of stochastically homogeneous solids.” Int. J. Damage Mech., 1(3), 276–289.
Needleman, A., and Tvergaard, V. (1984). “An analysis of the ductile rupture in notched bars.” J. Mech. Phys. Solids, 32(6), 461–490.
Norris, D. M. Jr., Reaugh, J. E., Moran, B., and Quinones, D. F. (1978). “A plastic-strain, mean-stress criterion for ductile fracture.” J. Eng. Mater. Technol., 100(3), 279–286.
Panontin, T. L., and Sheppard, S. D. (1995). “The relationship between constraint and ductile fracture initiation as defined by micromechanical analyses.” Fract. Mech. ASTM STP 1256, 26, 54–85.
Pardoen, T., and Hutchinson, J. W. (2000). “An extended model for void growth and coalescence.” J. Mech. Phys. Solids, 48(12), 2467–2512.
Polish Committee for Standardization. (2004). “Metallic materials—Tensile testing—Part 1: Method of test at ambient temperature.”, Warsaw, Poland.
Polish Committee for Standardization. (2007). “Eurocode 3—Design of steel structures—Part 1: Material toughness and through-thickness properties.”, Warsaw, Poland.
Rice, J. R., and Tracey, D. M. (1969). “On the ductile enlargement of voids in triaxial stress fields.” J. Mech. Phys. Solids, 17(3), 201–217.
Richelsen, A. B., and Tvergaard, V. (1994). “Dilatant plasticity or upper bound estimates for porous ductile solids.” Acta Metall. Mater., 42(8), 2561–2577.
Rousselier, G. (1987). “Ductile fracture models and their potential in local approach of fracture.” Nucl. Eng. Des., 105(1), 97–111.
Saanouni, K., Foster, C. H., and Hatira, F. B. (1994). “On the anelastic flow with damage.” Int. J. Damage Mech., 3(2), 140–169.
Sedlacek, G. et al. (2008). “Material toughness and through thickness properties“ and other toughness oriented rules in EN 1993.”, Office for Official Publications of the European Communities, Luxembourg.
Suquet, P. (1982). “Plasticité et homogénéisation.” Dissertation: Thèse d’Etat: Sciences Mathématiques (Mécanique théorique): Paris 6, Université Pierre et Marie Curie, Paris.
Taher, S. F., Baluch, M. H., and Al-Gadhib, A. H. (1994). “Towards a canonical elastoplastic damage model.” Eng. Fract. Mech., 48(2), 151–166.
Thomason, P. F. (1968). “A theory for ductile fracture by internal necking of cavities.” J. Inst. Met., 96, 360–365.
Tvergaard, V. (1981). “Influence of voids on shear band instabilities under plane strain conditions.” Int. J. Fract., 17(4), 389–407.
Tvergaard, V., and Needleman, A. (1984). “Analysis of the cup-cone fracture in a round tensile bar.” Acta Metall., 32(1), 157–169.
Voyiadjis, G. Z., and Kattan, P. I. (1992). “A plasticity-damage theory for large deformation of solids - Part I: Theoretical formulation.” Int. J. Eng. Sci., 30(9), 1089–1108.

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Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 24Issue 12December 2012
Pages: 1492 - 1500

History

Received: Sep 12, 2011
Accepted: Apr 18, 2012
Published online: Apr 20, 2012
Published in print: Dec 1, 2012

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P. G. Kossakowski [email protected]
Kielce Univ. of Technology, Kielce, Poland. E-mail: [email protected]

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