Technical Papers
Sep 28, 2024

Uncoupled Ductile Fracture Models for Grade 8.8S Steel Bolts Considering Different Stress States and Elevated Temperatures

Publication: Journal of Structural Engineering
Volume 150, Issue 12

Abstract

This paper presents the experimental results of Grade 8.8S high-strength steel coupons tensioned to fracture at room and elevated temperatures, followed by finite element analyses for investigating the ductile fracture behavior. Smooth round bars, notched round bars, flat shear sheets, and flat grooved sheets were tested at room temperature, which covered a wide range of stress states. The relationship between the ductility of the Grade 8.8S high-strength steel and the stress state was discussed. Extra smooth and notched round bars were also redesigned and tested at elevated temperatures. The nonlinear variations of material properties, including elastic modulus, yield strength, and tensile strength, were discussed. Different modeling strategies were used for the room and elevated temperatures. At room temperature, three uncoupled ductile fracture criteria were evaluated regarding their applications in the Grade 8.8S high-strength steel. Besides, in conjunction with a modified Johnson–Cook (JC) hardening model, the JC fracture criterion was improved and characterized by an exponential temperature function, as the original linear temperature function could not accurately describe the relationship between the fracture strain and temperatures. The developed finite element models closely traced most specimens’ load-displacement paths at the room and elevated temperatures.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

The authors would like to gratefully acknowledge the funding support of this research provided by the National Natural Science Foundation of China (Nos. 52478134 and 51778086) and Chongqing Key Project of Technological Innovation and Application Development Program (CSTB2022TIAD-KPX0204).

References

AISC. 2022. Specification for structural steel buildings. ANSI/AISC 360-22. Chicago: AISC.
ASTM. 2004. Standard test method for tension testing of metallic materials. ASTM E8. West Conshohocken, PA: ASTM.
Bai, Y., X. Teng, and T. Wierzbicki. 2009. “On the application of stress triaxiality formula for plane strain fracture testing.” J. Eng. Mater. Technol. 131 (2): 021002. https://doi.org/10.1115/1.3078390.
Bai, Y., and T. Wierzbicki. 2008. “A new model of metal plasticity and fracture with pressure and Lode dependence.” Int. J. Plast. 24 (6): 1071–1096. https://doi.org/10.1016/j.ijplas.2007.09.004.
Bai, Y., and T. Wierzbicki. 2015. “A comparative study of three groups of ductile fracture loci in the 3D space.” Eng. Fract. Mech. 135 (Feb): 147–167. https://doi.org/10.1016/j.engfracmech.2014.12.023.
Bao, Y., and T. Wierzbicki. 2005. “On the cut-off value of negative triaxiality for fracture.” Eng. Fract. Mech. 72 (7): 1049–1069. https://doi.org/10.1016/j.engfracmech.2004.07.011.
Cao, J., Z. Sun, L. Huang, and Z. Yin. 2021. “A unified model of ductile fracture considering strain rate and temperature under the complex stress states.” J. Mater. Process. Technol. 297 (Nov): 117275. https://doi.org/10.1016/j.jmatprotec.2021.117275.
CEN (European Committee for Standardization). 2005. Eurocode 3: Design of steel structures, Part 1–2: General rules—Structural fire design. BS EN 1993-1-2: 2005. Brussels, Belgium: CEN.
Chinese Standard. 2015. Metallic materials-tensile testing—Part 2: Method of test at elevated temperature. [In Chinese.] GB/T 228.2. Beijing: Standards Press of China.
Deole, A. D., M. R. Barnett, and M. Weiss. 2018. “The numerical prediction of ductile fracture of martensitic steel in roll forming.” Int. J. Solids Struct. 144–145 (Jul): 20–31. https://doi.org/10.1016/j.ijsolstr.2018.04.011.
Dong, J. H., M. Elchalakani, D. Li, G. Xiong, and B. Yang. 2022. “Dynamic hardening behavior and ductile fracture of high-strength steel at intermediate strain rates.” J. Struct. Eng. 148 (9): 04022121. https://doi.org/10.1061/(ASCE)ST.1943-541X.0003416.
Dong, J. H., D. Y. Kong, Z. Zheng, B. Yang, and M. Elchalakani. 2020. “A dislocation-movement-and-void-growth-motivated ductile fracture criterion considering size effect.” Int. J. Solids Struct. 206 (Dec): 137–152. https://doi.org/10.1016/j.ijsolstr.2020.09.013.
Du, R., C. Mareau, Y. Ayed, E. Giraud, and P. D. Santo. 2020. “Experimental and numerical investigation of the mechanical behavior of the AA5383 alloy at high temperatures.” J. Mater. Process. Technol. 281 (Jul): 116609. https://doi.org/10.1016/j.jmatprotec.2020.116609.
Gatea, S., H. Ou, B. Lu, and G. McCartney. 2017. “Modelling of ductile fracture in single point incremental forming using a modified GTN model.” Eng. Fract. Mech. 186 (Dec): 59–79. https://doi.org/10.1016/j.engfracmech.2017.09.021.
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. https://doi.org/10.1115/1.3443401.
Hancock, J. W., and A. C. Mackenzie. 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. https://doi.org/10.1016/0022-5096(76)90024-7.
Hanus, F., G. Zilli, and J. M. Franssen. 2011. “Behaviour of Grade 8.8 bolts under natural fire conditions—Tests and model.” J. Constr. Steel Res. 67 (8): 1292–1298. https://doi.org/10.1016/j.jcsr.2011.03.012.
Jia, L.-J., and H. Kuwamura. 2014. “Ductile fracture simulation of structural steels under monotonic tension.” J. Struct. Eng. 140 (5): 04013115. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000944.
Johnson, G. R., and W. H. Cook. 1985. “Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures.” Eng. Fract. Mech. 21 (1): 31–48. https://doi.org/10.1016/0013-7944(85)90052-9.
Kanvinde, A. 2017. “Predicting fracture in civil engineering steel structures: State of the art.” J. Struct. Eng. 143 (3): 03116001. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001704.
Kanvinde, A. M., and G. G. Deierlein. 2006. “The void growth model and the stress modified critical strain model to predict ductile fracture in structural steels.” J. Struct. Eng. 132 (12): 1907–1918. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:12(1907).
Ketabdari, H., A. S. Daryan, and N. Hassani. 2019. “Predicting post-fire mechanical properties of grade 8.8 and 10.9 steel bolts.” J. Constr. Steel Res. 162 (Nov): 105735. https://doi.org/10.1016/j.jcsr.2019.105735.
Kirby, B. R. 1995. “The behaviour of high-strength grade 8.8 bolts in fire.” J. Constr. Steel Res. 33 (1–2): 3–38. https://doi.org/10.1016/0143-974X(94)00013-8.
Kong, D.-Y., L.-M. Ren, B. Yang, X.-H. Zhou, and M. Elchalakani. 2020. “Comparative study of uncoupled ductile-fracture models on fracture prediction of structural steels under monotonic loading.” J. Eng. Mech. 146 (8): 04020080. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001807.
Kong, D.-Y., and B. Yang. 2020. “Enhanced voids growth model for ductile fracture prediction of high-strength steel Q690D under monotonic tension: Experiments and numerical simulation.” J. Struct. Eng. 146 (6): 04020107. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002658.
Li, W., F. Liao, T. Zhou, and H. Askes. 2016. “Ductile fracture of Q460 steel: Effects of stress triaxiality and Lode angle.” J. Constr. Steel Res. 123 (Aug): 1–17. https://doi.org/10.1016/j.jcsr.2016.04.018.
Lou, Y., L. Chen, T. Clausmeyer, A. E. Tekkaya, and J. W. Yoon. 2017. “Modeling of ductile fracture from shear to balanced biaxial tension for sheet metals.” Int. J. Solids Struct. 112 (May): 169–184. https://doi.org/10.1016/j.ijsolstr.2016.11.034.
Lou, Y., and H. Huh. 2013. “Extension of a shear-controlled ductile fracture model considering the stress triaxiality and the Lode parameter.” Int. J. Solids Struct. 50 (2): 447–455. https://doi.org/10.1016/j.ijsolstr.2012.10.007.
Lou, Y., H. Huh, S. Lim, and K. Pack. 2012. “New ductile fracture criterion for prediction of fracture forming limit diagrams of sheet metals.” Int. J. Solids Struct. 49 (25): 3605–3615. https://doi.org/10.1016/j.ijsolstr.2012.02.016.
Lou, Y., J. W. Yoon, and H. Huh. 2014. “Modeling of shear ductile fracture considering a changeable cut-off value for stress triaxiality.” Int. J. Plast. 54 (Mar): 56–80. https://doi.org/10.1016/j.ijplas.2013.08.006.
Ma, X., W. Wang, Y. Chen, and X. Qian. 2015. “Simulation of ductile fracture in welded tubular connections using a simplified damage plasticity model considering the effect of stress triaxiality and Lode angle.” J. Constr. Steel Res. 114 (Nov): 217–236. https://doi.org/10.1016/j.jcsr.2015.07.023.
McDonald, B., H. Bornstein, A. Ameri, A. Daliri, and A. C. Orifici. 2019. “Plasticity and ductile fracture behaviour of four armour steels.” Int. J. Solids Struct. 176–177 (Nov): 135–149. https://doi.org/10.1016/j.ijsolstr.2019.05.013.
Mohr, D., and S. J. Marcadet. 2015. “Micromechanically-motivated phenomenological Hosford–Coulomb model for predicting ductile fracture initiation at low stress triaxialities.” Int. J. Solids Struct. 67–68 (Aug): 40–55. https://doi.org/10.1016/j.ijsolstr.2015.02.024.
Nahshon, K., and J. W. Hutchinson. 2008. “Modification of the Gurson model for shear failure.” Eur. J. Mech. A Solids 27 (1): 1–17. https://doi.org/10.1016/j.euromechsol.2007.08.002.
Needleman, A., and V. Tvergaard. 1984. “An analysis of ductile rupture in notched bars.” J. Mech. Phys. Solids 32 (6): 461–490. https://doi.org/10.1016/0022-5096(84)90031-0.
Nielsen, K. L., and V. Tvergaard. 2010. “Ductile shear failure or plug failure of spot welds modelled by modified Gurson model.” Eng. Fract. Mech. 77 (7): 1031–1047. https://doi.org/10.1016/j.engfracmech.2010.02.031.
Pang, X. P., Y. Hu, S. L. Tang, Z. Xiang, G. Wu, T. Xu, and X. Q. Wang. 2019. “Physical properties of high-strength bolt materials at elevated temperatures.” Results Phys. 13 (Jun): 102156. https://doi.org/10.1016/j.rinp.2019.102156.
Pantousa, D., and T. Karavasilis. 2021. “Experimental and numerical investigation of the ductile fracture of structural steel at elevated temperatures.” J. Constr. Steel Res. 177 (Feb): 106444. https://doi.org/10.1016/j.jcsr.2020.106444.
Peng, Z., H. Zhao, and X. Li. 2021. “New ductile fracture model for fracture prediction ranging from negative to high stress triaxiality.” Int. J. Plast. 145 (Oct): 103057. https://doi.org/10.1016/j.ijplas.2021.103057.
Rice, J. R., and D. M. Tracey. 1969. “On the ductile enlargement of voids in triaxial stress fields*.” J. Mech. Phys. Solids 17 (3): 201–217. https://doi.org/10.1016/0022-5096(69)90033-7.
Roth, C. C., and D. Mohr. 2016. “Ductile fracture experiments with locally proportional loading histories.” Int. J. Plast. 79 (Apr): 328–354. https://doi.org/10.1016/j.ijplas.2015.08.004.
Song, Q.-Y., A. Heidarpour, X.-L. Zhao, and L.-H. Han. 2018. “Experimental and numerical investigation of ductile fracture of carbon steel structural components.” J. Constr. Steel Res. 145 (Jun): 425–437. https://doi.org/10.1016/j.jcsr.2018.02.032.
Swift, H. W. 1952. “Plastic instability under plane stress.” J. Mech. Phys. Solids 1 (1): 1–18. https://doi.org/10.1016/0022-5096(52)90002-1.
Valoppi, B., S. Bruschi, A. Ghiotti, and R. Shivpuri. 2017. “Johnson-Cook based criterion incorporating stress triaxiality and deviatoric effect for predicting elevated temperature ductility of titanium alloy sheets.” Int. J. Mech. Sci. 123 (Apr): 94–105. https://doi.org/10.1016/j.ijmecsci.2017.02.005.
Voce, E. 1948. “The relationship between stress and strain for homogeneous deformation.” J. Inst. Met. 74: 537–562.
Wang, Q., S. Bruschi, A. Ghiotti, and Y. Mu. 2019. “Modelling of fracture occurrence in Ti6Al4V sheets at elevated temperature accounting for anisotropic behaviour.” Int. J. Mech. Sci. 150 (Jan): 471–483. https://doi.org/10.1016/j.ijmecsci.2018.10.045.
Wang, W., Y. Zhang, L. Xu, and X. Li. 2020. “Mechanical properties of high-strength Q960 steel at elevated temperature.” Fire Saf. J. 114 (Jun): 103010. https://doi.org/10.1016/j.firesaf.2020.103010.
Wen, H., and H. Mahmoud. 2016. “New model for ductile fracture of metal alloys. I: Monotonic loading.” J. Eng. Mech. 142 (2): 04015088. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001009.
Xia, P., F. Vercruysse, R. Petrov, I. Sabirov, M. Castillo-Rodríguez, and P. Verleysen. 2019. “High strain rate tensile behavior of a quenching and partitioning (Q&P) Fe-0.25C-1.5Si-3.0Mn steel.” Mater. Sci. Eng. 745 (Feb): 53–62. https://doi.org/10.1016/j.msea.2018.12.064.
Xue, L. 2007. “Damage accumulation and fracture initiation in uncracked ductile solids subject to triaxial loading.” Int. J. Solids Struct. 44 (16): 5163–5181. https://doi.org/10.1016/j.ijsolstr.2006.12.026.
Zhou, J., X. Gao, J. C. Sobotka, B. A. Webler, and B. V. Cockeram. 2014. “On the extension of the Gurson-type porous plasticity models for prediction of ductile fracture under shear-dominated conditions.” Int. J. Solids Struct. 51 (18): 3273–3291. https://doi.org/10.1016/j.ijsolstr.2014.05.028.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 150Issue 12December 2024

History

Received: Oct 10, 2023
Accepted: Jun 25, 2024
Published online: Sep 28, 2024
Published in print: Dec 1, 2024
Discussion open until: Feb 28, 2025

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

School of Civil Engineering, Chongqing Univ., No. 83, Shabei St., Shapingba District, Chongqing 400045, China. ORCID: https://orcid.org/0000-0002-5087-5409
Haomin Ding
School of Civil Engineering, Chongqing Univ., No. 83, Shabei St., Shapingba District, Chongqing 400045, China.
Professor, School of Civil Engineering, Chongqing Univ., No. 83, Shabei St., Shapingba District, Chongqing 400045, China (corresponding author). Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share