Ductile Fracture Simulation of Structural Steels under Monotonic Tension
Publication: Journal of Structural Engineering
Volume 140, Issue 5
Abstract
This paper aims to predict ductile fracture of mild steel under monotonic loading only from the test results of notchless tensile coupons. A simple fracture model based on the concept of a damage index with only one model parameter is proposed to predict ductile fracture of structural steels. The model is based on an idea of a combination of the void growth model and Miner’s rule in incremental form. Moreover, a new method to modify the true stress-true strain data after necking initiates is proposed, and it is found that the hardening modulus of several structural steels after necking initiates is approximately the same. Finally, ductile fracture of smooth and notched steel specimens is numerically simulated for three types of structural steels, which proves simplicity and acceptable accuracy of the fracture model and the modification method of the true stress-true strain.
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Acknowledgments
The research reported herein was sponsored by the Ministry of Education under the Grant-in-Aid for Scientific Research (A) No. 23246097 with the title “Study on the coupling of buckling and fracture of steel structural members.” This financial support is sincerely acknowledged. The test data provided by Professor Iyama, Mr. Arita, Mr. Yamamoto, and Mr. Funabashi are greatly appreciated, and thanks also go to Dr. Koyama for the experimental support.
References
ABAQUS. (2010). Standard manual (version 6.10), Hibbitt, Karlsson & Sorensen, Pawtucket, RI.
Anderson, T. L. (1995). Fracture mechanics, 2nd Ed., CRC, Boca Raton, FL.
Architectural Institute of Japan (AIJ). (1995). Fracture in steel structures during a severe earthquake, Tokyo (in Japanese).
Arita, M., and Iyama, J. (2009). “Fundamental verification of crack extension rule to estimate fracture of steel.” Summaries of technical papers of annual meeting of AIJ, Paper No. 20137, Sendai, Japan, 273–274 (in Japanese).
Belytschko, T., Gracie, R., and Ventura, G. (2009). “A review of extended/generalized finite element methods for material modeling.” Model. Simul. Mater. Sci. Eng., 17(4), 1–24.
Besson, J., Steglich, D., and Brocks, W. (2001). “Modeling of crack growth in round bars and plane strain specimens.” Int. J. Solids Struct., 38(46–47), 8259–8284.
Bridgman, P. W. (1952). Studies in large plastic flow and fracture, McGraw-Hill, New York.
Chaboche, J. L. (1984). “Anisotropic creep damage in the framework of continuum damage mechanics.” Nucl. Eng. Des., 79(3), 309–319.
Chaboche, J. L. (1988). “Continuum damage mechanics: Part I-General concepts.” J. Appl. Mech., 55(1), 59–64.
Chi, W. M., Kanvinde, A. M., and Deierlein, G. G. (2006). “Prediction of ductile fracture in steel connections using SMCS criterion.” J. Struct. Eng., 171–181.
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 Cowling, M. J. (1980). “Role of state of stress in crack-tip failure processes.” Met. Sci., 14(8–9), 293–304.
Kachanov, L. M. (1958). “Time of the rupture process under creep conditions.” Izvestia Akademii Nauk SSSR, Otdelenie tekhnicheskich nauk, 8(8), 26–31 (in Russian).
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., 1907–1918.
Kanvinde, A. M., and Deierlein, G. G. (2007a). “Cyclic void growth model to assess ductile fracture initiation in structural steels due to ultra low cycle fatigue.” J. Eng. Mech., 701–712.
Kanvinde, A. M., and Deierlein, G. G. (2007b). “Finite-element simulation of ductile fracture in reduced section pull-plates using micromechanics-based fracture models.” J. Struct. Eng., 656–664.
Kuwamura, H. (1998). “Fracture of steel during an earthquake/State-of-art in Japan.” Eng. Struct., 20(4–6), 310–322.
Kuwamura, H. (2003). “Classification of material and welding in fracture consideration of seismic steel frames.” Eng. Struct., 25(5), 547–563.
Kuwamura, H., and Akiyama, H. (1994). “Brittle fracture under repeated high stresses.” J. Constr. Steel Res., 29(1–3), 5–19.
Kuwamura, H., Iyama, J., and Matsui, K. (2003). “Effects of material toughness and plate thickness on brittle fracture of steel members.” J. Struct. Eng., 1475–1483.
Kuwamura, H., and Yamamoto, K. (1997). “Ductile crack as trigger of brittle fracture in steel.” J. Struct. Eng., 729–735.
Kuwamura Lab. (1995). Field survey report on structural damage during the 1995 Hyogoken-Nanbu Earthquake, School of Engineering, Univ. of Tokyo, Tokyo (in Japanese).
Lemaitre, J. (1985). “A continuum damage mechanics model for ductile fracture.” J. Eng. Mater. Technol., 107(1), 83–89.
Ling, Y. (1996). “Uniaxial true stress-strain after necking.” AMP J. Technol., 5, 37–48.
Mackenzie, A. C., Hancock, J. W., and Brown, D. K. (1977). “On the influence of state of stress on ductile failure initiation in high strength steels.” Eng. Fract. Mech., 9(1), 167–188.
Mahin, S. A. (1998). “Lessons from damage to steel buildings during Northridge earthquake.” Eng. Struct., 20(4–6), 261–270.
McClintock, F. A. (1968). “A criterion for ductile fracture by the growth of holes.” J. Appl. Mech., 35(2), 363–371.
Miner, M. A. (1945). “Cumulative damage in fatigue.” J. Appl. Mech., 12(3), A159–A164.
Myers, A. T., Kanvinde, A. M., and Deierlein, G. G. (2010). “Calibration of the SMCS criterion for ductile fracture in steels: Specimen size dependence and parameter assessment.” J. Struct. Eng., 136(11), 1401–1410.
Norris, D. M., Reaugh, J. E., Moran, B., and Quiñones, 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.”, ASTM, West Conshohoken, PA, 54–85.
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.
Rousselier, G. (1987). “Ductile fracture models and their potential in local approach of fracture.” Nucl. Eng. Des., 105(1), 97–111.
The Building Center of Japan. (2003). Guidelines for prevention of brittle fracture at the beam ends of welded beam-to-column connections in steel frames, Tokyo, (in Japanese).
Tvergaard, V., and Needleman, A. (1984). “Analysis of the cup-cone fracture in a round tensile bar.” Acta Metall., 32(1), 157–169.
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© 2013 American Society of Civil Engineers.
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Received: Feb 5, 2013
Accepted: Sep 9, 2013
Published online: Dec 31, 2013
Published in print: May 1, 2014
Discussion open until: May 31, 2014
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