Technical Papers
Oct 29, 2021

Material Parameters in the GTN Model for Ductile Fracture Simulation of G20Mn5QT Cast Steels

Publication: Journal of Materials in Civil Engineering
Volume 34, Issue 1

Abstract

Material parameters in the Gurson, Tvergaard and Needleman (GTN) model were calibrated for G20Mn5QT cast steels based on tests of tension coupons and smooth notched tensile specimens, and complementary FEA. The mesh sensitivity of the calibrated GTN model was discussed regarding the efficiency of the FEA. As the mesh size decreases to 0.15 mm or finer, the prediction of the ductile fracture by the calibrated GTN model tends to converge. Four single-edge notched plate specimens of G20Mn5QT cast steels were tested under uniaxial tension, and the entire ductile fracture processes of the specimens were obtained. The ductile fracture of a double-hole plate specimen and the single-edge notched plate specimens were then simulated using the calibrated GTN model. The accuracy of the calibrated GTN model was verified by comparing the numerical simulation with the test results. Also validated was that the GTN model is applicable to not only the ductile fracture prediction but also the simulation of the stable fracture propagation.

Get full access to this article

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

Data Availability Statement

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

Acknowledgments

The authors of this paper express their appreciation for the financial support given by the National Natural Science Foundation of China (Grant No. 51525803).

References

Bahrami, H., S. H. Hoseini, and G. Z. Voyiadjis. 2019. “Fracture investigation of the shape memory alloy using GTN model.” Eng. Fract. Mech. 216 (23): 106519. https://doi.org/10.1016/j.engfracmech.2019.106519.
Besson, J. 2010. “Continuum models of ductile fracture: A review.” Int. J. Damage Mech. 19 (8): 3–52. https://doi.org/10.1177/1056789509103482.
Brinnel, V., J. Langenberg, F. Kordtomeikel, Y. Di, and S. Munstermann. 2015. “Numerical derivation of strain-based criteria for ductile failure: Discussions on sensitivity and validity.” Eng. Fract. Mech. 148 (Aug): 421–440. https://doi.org/10.1016/j.engfracmech.2015.07.068.
Bron, F., and J. Besson. 2004. “A yield function for anisotropic materials—Application to aluminum alloys.” Int. J. Plasticity 20 (Jan): 937–963. https://doi.org/10.1016/j.ijplas.2003.06.001.
Bron, F., and J. Besson. 2006. “Simulation of the ductile tearing for two grades of 2024 aluminum alloy thin sheets.” Eng. Fract. Mech. 73 (45): 1531–1552. https://doi.org/10.1016/j.engfracmech.2006.01.024.
Chen, S., and S. Osovski. 2020. “Damage evolution around shear loaded intervoid ligaments in plane strain and plane stress.” Eur. J. Mech. A. Solids. 80 (1): 103909. https://doi.org/10.1016/j.euromechsol.2019.103909.
Chen, Y., and S. Lambert. 2004. “Finite element modeling of ductile tearing of pipeline-steel in cracked plates.” In Proc., Int. Pipeline Conf., 1677–1684. Washington, DC: ASME.
Chu, C., and A. Needleman. 1980. “Void nucleation effects in biaxially stretched sheets.” J. Eng. Mater. Technol. 102 (8): 249–256. https://doi.org/10.1115/1.3224807.
Danas, K., and P. P. Castaneda. 2012. “Influence of the Lode parameter and the stress triaxiality on the failure of elasto-plastic porous materials.” Int. J. Solids Struct. 49 (Jan): 1325–1342. https://doi.org/10.1016/j.ijsolstr.2012.02.006.
de Oliveira, J. C., J. A. Packer, and C. Christopoulos. 2008. “Cast steel connectors for circular hollow section braces under inelastic cyclic loading.” J. Struct. Eng. 134 (374): 374–383. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:3(374).
DIN (Deutsches Institut für Normung). 2005. Steel castings for general engineering uses. DIN EN 10293. Berlin: Beuth Verlag GmbH.
Faleskog, J., X. Gao, and C. F. Shih. 1998. “Cell model for nonlinear fracture analysis-I. Micromechanics calibration.” Int. J. Fract. 89 (2): 355–373. https://doi.org/10.1023/A:1007421420901.
Garrison, W., and N. R. Moody. 1987. “Ductile fracture.” J. Phys. Chem. Solids 48 (11): 1035–1074. https://doi.org/10.1016/0022-3697(87)90118-1.
Gray, M. G., C. Christopoulos, and J. A. Packer. 2014. “Cast steel yielding brace system for concentrically braced frames: Concept development and experimental validations.” J. Struct. Eng. 140 (10): 04013095. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000910.
Gurson, A. L. 1977. “Continuum theory of ductile rupture by void nucleation and growth. Part 1: Yield criteria and flow rules for porous ductile media.” J. Eng. Mater. Technol. 99 (23): 2–15. https://doi.org/10.1115/1.3443401.
Han, Q. H., X. X. Li, M. J. Liu, and B. F. Spencer. 2019. “Performance analysis and macromodel simulation of steel frame structures with beam-column joints using cast steel stiffeners for progressive collapse prevention.” Thin. Wall. Struct. 140 (2): 404–415. https://doi.org/10.1016/j.tws.2019.03.050.
Hutter, G., T. Linse, U. Muhlich, and M. Kuna. 2013. “Simulation of ductile crack initiation and propagation by means of a non-local Gurson-model.” Int. J. Solids Struct. 50 (1): 662–671. https://doi.org/10.1016/j.ijsolstr.2012.10.031.
Jiang, W., Y. Li, and J. Su. 2016. “Modified GTN model for a broad range of stress states and application to ductile fracture.” Eur. J. Mech. A. Solids 57 (2): 132–148. https://doi.org/10.1016/j.euromechsol.2015.12.009.
Kami, A., B. M. Dariani, A. S. Vanini, D. S. Comsa, and D. Banabic. 2015. “Numerical determination of the forming limit curves of anisotropic sheet metals using GTN damage model.” J. Mater. Process. Tech. 216 (10): 472–483. https://doi.org/10.1016/j.jmatprotec.2014.10.017.
Kanvinde, A. M., and G. G. Deierlein. 2004. “Prediction of ductile fracture in steel moment connections during earthquakes using micromechanical fracture models.” In Proc., 13th World Conf. on Earthquake Engineering, 1–6. Tokyo: International Association for Earthquake Engineering.
Kingklang, S., and V. Uthaisangsuk. 2018. “Plastic deformation and fracture behavior of X65 pipeline steel: Experiments and modeling.” Eng. Fract. Mech. 191 (2): 82–101. https://doi.org/10.1016/j.engfracmech.2018.01.026.
Kiran, R., and K. Khandelwal. 2014. “Gurson model parameters for ductile fracture simulation in ASTM A992 steels.” Fatigue Fract. Eng. Mater. Struct. 37 (23): 171–183. https://doi.org/10.1111/ffe.12097.
McClintock, F. A. 1968. “A criterion for ductile fracture by the growth of holes.” J. App. Mech. 35 (8): 363–371. https://doi.org/10.1115/1.3601204.
Morin, D., M. Fourmeau, T. Børvik, A. Benallal, and O. S. Hopperstad. 2018. “Anisotropic tensile failure of metals by the strain localization theory: An application to a high-strength aluminium alloy.” Eur. J. Mech. 69 (7): 99–112. https://doi.org/10.1016/j.euromechsol.2017.11.015.
Oh, C. K., Y. J. Kim, J. H. Baek, Y. P. Kim, and W. Kim. 2007. “A phenomenological model of ductile fracture for API X65 steel.” Int. J. Mech. Sci. 49 (22): 1399–1412. https://doi.org/10.1016/j.ijmecsci.2007.03.008.
Panontin, T. L., and S. D. Sheppard. 1995. “The relationship between constraint and ductile fracture initiation as defined by micromechanical analyses.” Fract. Mech. 1256 (1): 54–85. https://doi.org/10.1520/STP16379S.
Rice, J. R., and D. M. Tracey. 1969. “On the ductile enlargement of voids in triaxial stress fields.” J. Mech. Phys. Solids 17 (23): 201–217. https://doi.org/10.1016/0022-5096(69)90033-7.
Seidenfuss, M., M. K. Samal, and E. Roos. 2011. “On critical assessment of the use of local and nonlocal damage models for prediction of ductile crack growth and crack path in various loading and boundary conditions.” Int. J. Solids Struct. 48 (2): 3365–3381. https://doi.org/10.1016/j.ijsolstr.2011.08.006.
Sumer, A., R. B. Fleischman, and B. E. Hoskisson. 2007. “Development of a cast modular connector for seismic -resistant steel moment frames. Part 1: Prototype development.” Eng. J. AISC 44 (1): 195–211.
Teng, B. G., W. N. Wang, and Y. C. Xu. 2017. “Ductile fracture prediction in aluminium alloy 5A06 sheet forming based on GTN damage model.” Eng. Fract. Mech. 186 (1): 242–254. https://doi.org/10.1016/j.engfracmech.2017.10.014.
Tong, L. W., Y. Z. Chen, Y. Y. Chen, and C. Fang. 2016. “Cyclic behaviour of beam-to-column joints with cast steel connectors.” J. Constr. Steel Res. 116 (23): 114–130. https://doi.org/10.1016/j.jcsr.2015.09.005.
Tu, H. Y., S. Schmauder, and U. Weber. 2012. “Numerical study of electron beam welded butt joints with the GTN model.” Comput. Mech. 50 (1): 245–255. https://doi.org/10.1007/s00466-012-0739-1.
Tvergaard, V., and J. W. Hutchinson. 1992. “The relation between crack growth resistance and fracture process parameters in elastic-plastic solids.” J. Mech. Phys. Solids 40 (6): 1377–1397. https://doi.org/10.1016/0022-5096(92)90020-3.
Tvergaard, V., and A. Needleman. 1984. “Analysis of the cup-cone fracture in a round tensile bar.” Acta Metall. 32 (1): 157–169. https://doi.org/10.1016/0001-6160(84)90213-X.
Vadillo, G., J. Reboul, and J. Fernández-Sáez. 2016. “A modified Gurson model to account for the influence of the Lode parameter at high triaxialities.” Eur. J. Mech. A. Solids 56 (Mar): 31–44. https://doi.org/10.1016/j.euromechsol.2015.09.010.
Yin, Y., M. F. Li, Q. H. Han, S. Li, and P. Lei. 2020a. “Material parameters in void growth model for G20Mn5QT cast steel: Calibration and verification.” J. Mater. Civ. Eng. 32 (3): 04020012. https://doi.org/10.1061/(ASCE)MT.1943-5533.0003065.
Yin, Y., S. Li, Q. H. Han, and M. F. Li. 2020b. “Material parameters in void growth model for G20Mn5QT cast steel at low temperatures.” Constr. Build. Mater. 243 (May): 118123. https://doi.org/10.1016/j.conbuildmat.2020.118123.

Information & Authors

Information

Published In

Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 34Issue 1January 2022

History

Received: Nov 3, 2020
Accepted: Jun 3, 2021
Published online: Oct 29, 2021
Published in print: Jan 1, 2022
Discussion open until: Mar 29, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Yue Yin
Associate Professor, Dept. of Civil Engineering, Tianjin Univ., Tianjin 300072, China; Associate Professor, Key Laboratory of Coast Civil Structure Safety, Ministry of Education, Tianjin Univ., Tianjin 300072, China.
Tao Ma
Master Student, Dept. of Civil Engineering, Tianjin Univ., Tianjin 300072, China.
Qinghua Han
Professor, Dept. of Civil Engineering, Tianjin Univ., Tianjin 300072, China; Professor, Key Laboratory of Coast Civil Structure Safety, Ministry of Education, Tianjin Univ., Tianjin 300072, China.
Associate Professor, Dept. of Civil Engineering, Tianjin Univ., Tianjin 300072, China; Associate Professor, Key Laboratory of Coast Civil Structure Safety, Ministry of Education, Tianjin Univ., Tianjin 300072, China (corresponding author). Email: [email protected]
Yongjie Zhang
Master Student, Dept. of Civil Engineering, Tianjin Univ., Tianjin 300072, China.

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.

Cited by

  • Parameter Optimization and Mechanical Properties of Laser Cladding of 316L Stainless Steel Powder on G20Mn5QT Steel, Coatings, 10.3390/coatings13030481, 13, 3, (481), (2023).
  • Research on the Application of Ductile Fracture Criterion in Fracture Prediction during Sheet Metal Deep Drawing, MATERIALS TRANSACTIONS, 10.2320/matertrans.MT-M2022060, 63, 8, (1179-1187), (2022).
  • A Simplified Strategy to Address Effects of the Drop of Temperature on the Gurson-Tvergaard-Needleman Model for G20Mn5QT Cast Steels, Journal of Materials in Civil Engineering, 10.1061/(ASCE)MT.1943-5533.0004451, 34, 11, (2022).

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