Ductile Fracture Simulation of Constructional Steels Based on Yield-to-Fracture Stress–Strain Relationship and Micromechanism-Based Fracture Criterion
Publication: Journal of Structural Engineering
Volume 144, Issue 3
Abstract
Fracture is an important mode of failure in steel structures, whereas traditional fracture mechanics is difficult to apply in predicting ductile fracture in the presence of large-scale yielding or in flaw-free geometries. This study offers a means for numerical simulation of ductile fractures of constructional steels. Experimental investigations on the conventional smooth round bar specimens are carried out with special focus on the postnecking strain hardening and fracture properties, and a new experimental procedure is proposed to explicitly obtain the yield-to-fracture true stress–strain relationship, as well as the fracture strain and corresponding stress triaxiality. A fracture criterion is proposed by means of finite-element unit cell–based micromechanical studies, in which the most significant microscopic features of fracture including both void growth and coalescence are considered. To calibrate and validate the proposed fracture criterion, tests of notched round bar specimens representing high stress triaxiality are also carried out. The numerical method for material fracture simulation in implicit time integration analyses is addressed, and matters needing attention when using such a method are discussed, including the countermeasures of convergence difficulties caused by material softening and determination of mesh sizes.
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Acknowledgments
The work presented in this paper was funded by the National Natural Science Foundation of China (No. 51178332) and the Foundation of State Key Laboratory of Disaster Reduction in Civil Engineering (No. sLDRCEO93-03). The authors would like to thank Xiao-jing Cai (Engineering Mechanics Experimental Center in Shanghai Jiao Tong University) and Jin-sen Zhang (Mechanical Experimental Center in Tongji University) for their assistance in specimen tests and macro and micro measurements. The kind help provided by Jin-tai Liu and Qiu-yun Li (Department of Structural Engineering in Tongji University) during the tests is also acknowledged.
References
ABAQUS [Computer software]. Dassault Systèmes, Waltham, MA.
AIJ (Architectural Institute of Japan). (1995). Damage and lessons of steel structures in the Hyogoken-Nanbu earthquake, Tokyo.
Anderson, T. L. (1997). Fracture mechanics: Fundamentals and application, 2nd Ed., CRC Press, New York.
Bandstra, J. P., Koss, D. A., Geltmacher, A., Matric, P., and Everett, R. K. (2004). “Modeling void coalescence during ductile fracture of a steel.” Mater. Sci. Eng., A, A366(2), 269–281.
Bao, Y., and Wierzbicki, T. (2004). “On fracture locus in the equivalent strain and stress triaxiality space.” Int. J. Mech. Sci., 46(1), 81–98.
Bonora, N., Gentile, D., Pirondi, A., and Newaz, G. (2005). “Ductile damage evolution under triaxial state of stress: Theory and experiments.” Int. J. Plast., 21(5), 981–1007.
Bridgeman, D. W. (1952). Studies in large plastic flow and fracture, McGraw Hill, New York.
Brozzo, P., DeLuca, B., and Rendina, R. (1972). “A new method for the prediction of formability limits in metal sheets, sheet metal forming and formability.” Proc., 7th Biennial Conf. of the Int. Deep Drawing Research Group, International Deep Drawing Research Group, Amsterdam, Netherlands, 9–13.
Chaboche, J. L. (1984). “Anisotropic creep damage in the framework of the continuum damage mechanics.” Nucl. Eng. Des., 79(3), 309–319.
Cockroft, M. G., and Latham, D. J. (1968). “Ductility and the workability of metals.” J. Inst. Met., 96(1), 33–39.
Dunand, M., and Mohr, D. (2011). “On the predictive capabilities of the shear modified Gurson and the modified Mohr-Coulomb fracture models over a wide range of stress triaxialities and Lode angles.” J. Mech. Phys. Solids, 59(7), 1374–1394.
Faleskog, J., Gao, X., and Shih, C. (1998). “Cell model for nonlinear fracture analysis. I: Micromechanics calibration.” Int. J. Fract., 89(4), 355–373.
Fang, C., Wang, W., He, C., and Chen, Y. (2017). “Self-centring behaviour of steel and steel-concrete composite connections equipped with NiTi SMA bolts.” Eng. Struct., 150(Nov), 390–408.
Freudenthal, A. M. (1950). The inelastic behavior of engineering materials and structures, Wiley, New York.
Gurson, L. (1977). “Continuum theory of ductile rupture by void nucleation and growth. 1: Yield criteria and flow rules for porous ductile media.” J. Eng. Mater. Technol., 99(1), 2–15.
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), 147–160.
Horikawa, K., and Sakino, Y. (1995). “Review of damage in welded joints caused by the Kobe earthquake.” Trans. JWRI, 24(2), 1–10.
Jia, L., and Kuwamura, H. (2013). “Ductile fracture simulation of structural steels under monotonic tension.” J. Struct. Eng., 4013115.
Kachanov, L. M. (1986). Introduction to continuum damage mechanics, Martinus Nijhoff, Dordrecht, Netherlands.
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.
Khandelwal, K., and El-Tawil, S. (2014). “A finite strain continuum damage model for simulating ductile fracture in steels.” Eng. Fract. Mech., 116(1), 172–189.
Kiran, R., and Khandelwal, K. (2014a). “A triaxiality and Lode parameter dependent ductile fracture criterion.” Eng. Fract. Mech., 128(Sep), 121–138.
Kiran, R., and Khandelwal, K. (2014b). “Experimental studies and models for ductile fracture in ASTM A992 steels at high triaxiality.” J. Struct. Eng., 04013044.
Kiran, R., and Khandelwal, K. (2014c). “Gurson model parameters for ductile fracture simulation in ASTM A992 steels.” Fatigue Fract. Eng. Mater. Struct., 37(2), 171–183.
Kuna, M., and Sun, D. Z. (1996). “Three-dimensional cell model analyses of void growth in ductile materials.” Int. J. Fract., 81(3), 235–258.
Lemaitre, J. (1985). “A continuous damage mechanics model for ductile fracture.” J. Eng. Mater. Technol., 107(1), 83–89.
Liao, F., Wang, W., and Chen, Y. (2012). “Parameter calibrations and application of micromechanical fracture models of structural steels.” Struct. Eng. Mech., 42(2), 1–22.
Liao, F., Wang, W., and Chen, Y. (2015). “Ductile fracture prediction for welded steel connections under monotonic loading based on micromechanical fracture criteria.” Eng. Struct., 94(Jul), 16–28.
Ling, Y. (1996). “Uniaxial true stress-strain after necking.” AMP J. Technol., 5(1), 37–48.
Mahin, S. A. (1998). “Lessons from damage to steel buildings during the 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.
MTS Systems Corporation. (2015). “MTS landmark testing solutions.” Eden Prairie, MN.
Norris, D. M., Jr., Moran, B., Quinones, D. F., and Reaugh, J. E. (1978). “A plastic-strain, mean-stress criterion for ductile fracture.” J. Eng. Mater. Technol., 100(3), 279–286.
Oh, C-S., Kim, N-H., Kim, Y-J., Baek, J-H., Kim, Y-P., and Kim, W-S. (2011). “A finite element ductile failure simulation method using stress-modified fracture strain model.” Eng. Fract. Mech., 78(1), 124–137.
Panontin, T. L., and Sheppard, S. D. (1995). “The relationship between constraint and ductile fracture initiation as defined by micromechanical analyses.” ASTM STP 1256, ASTM, Philadelphia, 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.
Rice, J. R., and Tracey, D. M. (1969). “On the ductile enlargements of voids in the 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), 113–120.
Ruggieri, C., Panontin, T. L., and Dodds, R. H. (1996). “Numerical modeling of ductile crack growth in 3-D using computational cell elements.” Int. J. Fract., 82(1), 67–95.
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.
Xia, L., and Shih, F. (1995). “Ductile crack growth-I. A numerical study using computational cells with microstructurally-based length scales.” J. Mech. Phys. Solids, 43(2), 233–259.
Yam, M. C. H., Fang, C., Lam, A. C. C., and Zhang, Y. (2015). “Numerical study and practical design of beam-to-column connections with shape memory alloys.” J. Constr. Steel Res., 104(Jan), 177–192.
Yang, F. (2010). “Theoretical and numerical simulation studies of progressive failure for metallic components.” Ph.D. thesis, Northwestern Polytechnical Univ., Xi’an, China (in Chinese).
Zhang, K. (1995). “Fracture prediction and necking analysis.” Eng. Fract. Mech., 52(3), 575–582.
Zhang, K., Bai, J., and François, D. (2001). “Numerical analysis of the influence of the Lode parameter on void growth.” Int. J. Solids Struct., 38(32–33), 5847–5856.
Zhang, K., Zheng, C., and Yang, N. (1991). “A new model for predicting the failure of ductile material.” Proc., 6th Int. Conf. on Mechanical Behavior of Materials, Vol. 4, Pergamon Press, Oxford, U.K., 263–268.
Zhao, X., Yan, S., and Chen, Y. (2017). “Comparison of progressive collapse resistance of single-layer latticed domes under different loadings.” J. Constr. Steel Res., 129(Feb), 204–214.
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Published In
Journal of Structural Engineering
Volume 144 • Issue 3 • March 2018
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©2018 American Society of Civil Engineers.
History
Received: Sep 21, 2016
Accepted: Aug 16, 2017
Published online: Jan 4, 2018
Published in print: Mar 1, 2018
Discussion open until: Jun 4, 2018
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