Skip to main content
SpringerLink
Log in

Enhanced Constitutive Model for Aeronautic Aluminium Alloy (AA2024-T351) under High Strain Rates and Elevated Temperatures

  • Published:
International Journal of Automotive Technology Aims and scope Submit manuscript

Abstract

Success of the numerical simulations depends on the accuracy of the material constitutive relations. Most of the ductile materials exhibit increased strain rate sensitivity at higher strain rates (> 103 s−1) compared to low and medium strain rates. Meanwhile, plastic deformation of any ductile material under high strain rate conditions results in heat generation due to plastic work. Hence, a reliable constitutive model should be able to predict the accurate thermo-mechanical response of the material over a wide range of strain rate loading conditions. In the present work, an enhanced constitutive model for high strain rate and elevated temperature is proposed. For calibration purpose, the stress-strain response of AA2024-T351 is studied under quasi-static and dynamic loading conditions using uniaxial compression and split Hopkinson compressive pressure bar (SHPB) respectively at various temperatures. A threshold strain rate value is identified and used to improve the prediction capabilities of the present model. Later, the proposed model is compared with Johnson-Cook (JC) and Khan-Huang-Liang (KHL) models using the different statistical parameters. This analysis revealed the improved stress-strain prediction capability of the proposed model compared to the others.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Arsecularatne, J. A. and Zhang, L. C. (2004). Assessment of constitutive equations used in machining. Key Engineering Materials, 274–276, 277–282.

    Article  Google Scholar 

  • Bobbili, R. and Madhu, V. (2017). Constitutive modeling and fracture behavior of a biomedical Ti-13Nb-13Zr alloy. Materials Science and Engineering: A, 700, 82–91.

    Article  Google Scholar 

  • Børvik, T., Olovsson, L., Dey, S. and Langseth, M. (2011). Normal and oblique impact of small arms bullets on AA6082-T4 aluminium protective plates. Int. J. Impact Engineering 38, 7, 577–589.

    Article  Google Scholar 

  • Davies, E. D. H. and Hunter, S. C. (1963). The dynamic compression testing of solids by the method of the split Hopkinson pressure bar. J. Mechanics and Physics of Solids 11, 3, 155–179.

    Article  Google Scholar 

  • Djapic Oosterkamp, L., Ivankovic, A. and Venizelos, G. (2000). High strain rate properties of selected aluminium alloys. Materials Science and Engineering: A 278, 1, 225–235.

    Article  Google Scholar 

  • El-Magd, E. and Brodmann, M. (2001). Influence of precipitates on ductile fracture of aluminium alloy AA7075 at high strain rates. Materials Science and Engineering: A 307, 1, 143–150.

    Article  Google Scholar 

  • Fahad, M., Mativenga, P. T. and Sheikh, M. A. (2013). On the contribution of primary deformation zone-generated chip temperature to heat partition in machining. Int. J. Advanced Manufacturing Technology 68, 1, 99–110.

    Article  Google Scholar 

  • Gilat, A., Schmidt, T. E. and Walker, A. L. (2009). Full field strain measurement in compression and tensile split Hopkinson bar experiments. Experimental Mechanics 49, 2, 291–302.

    Article  Google Scholar 

  • Guo, Y. B., Wen, Q. and Horstemeyer, M. F. (2005). An internal state variable plasticity-based approach to determine dynamic loading history effects on material property in manufacturing processes. Int. J. Mechanical Sciences 47, 9, 1423–1441.

    Article  MATH  Google Scholar 

  • Hajari, A., Morakabati, M., Abbasi, S. M. and Badri, H. (2017). Constitutive modeling for high-temperature flow behavior of Ti-6242S alloy. Materials Science and Engineering: A, 681, 103–113.

    Article  Google Scholar 

  • Huh, H., Ahn, K., Lim, J. H., Kim, H. W. and Park, L. J. (2014). Evaluation of dynamic hardening models for BCC, FCC, and HCP metals at a wide range of strain rates. J. Materials Processing Technology 214, 7, 1326–1340.

    Article  Google Scholar 

  • Huh, H., Lee, H. J. and Song, J. H. (2011). Dynamic hardening equation of the auto-body steel sheet with the variation of temperature. Int. J. Automotive Technology 13, 1, 43–60.

    Article  Google Scholar 

  • Johnson, G. R., Hoegfeldt, J. M., Lindholm, U. S. and Nagy, A. (1983). Response of various metals to large torsional strains over a large range of strain rates — Part 2: Less ductile metals. J. Engineering Materials and Technology 105, 1, 48–53.

    Article  Google Scholar 

  • Kariem, M. A. (2012). Reliable Materials Performance Data from Impact Testing. Ph. D. Dissertation. Swinburne University of Technology. Melbourne, Australia.

    Google Scholar 

  • Khan, A. S. and Huang, S. (1992). Experimental and theoretical study of mechanical behavior of 1100 aluminum in the strain rate range 10−5 — 104 s−1. Int. J. Plasticity, 8, 397–424.

    Article  Google Scholar 

  • Khan, A. S. and Liang, R. (1999). Behaviors of three BCC metal over a wide range of strain rates and temperatures: Experiments and modeling. Int. J. Plasticity 15, 10, 1089–1109.

    Article  MATH  Google Scholar 

  • Khan, A. S. and Liang, R. (2000). Behaviors of three BCC metals during non-proportional multi-axial loadings: Experiments and modeling. Int. J. Plasticity 16, 12, 1443–1458.

    Article  MATH  Google Scholar 

  • Khan, A. S. and Liu, H. (2012). Variable strain rate sensitivity in an aluminum alloy: Response and constitutive modeling. Int. J. Plasticity, 36, 1–14.

    Article  Google Scholar 

  • Kotkunde, N., Deole, A. D., Gupta, A. K. and Singh, S. K. (2014). Comparative study of constitutive modeling for Ti-6Al-4V alloy at low strain rates and elevated temperatures. Materials & Design, 55, 999–1005.

    Article  Google Scholar 

  • Lee, W.-S. and Chen, C.-W. (2013). High temperature impact properties and dislocation substructure of Ti-6Al-7Nb biomedical alloy. Materials Science and Engineering: A, 576, 91–100.

    Article  Google Scholar 

  • Lindholm, U. S. and Yeakley, L. M. (1968). High strain-rate testing: Tension and compression. Experimental Mechanics 8, 1, 1–9.

    Article  Google Scholar 

  • Lou, Y. and Yoon, J. W. (2018). A stress based model for shear ductole fracture. Proc. AEPA2018, Jeju, Korea.

  • Ludwik, P. (1909). Elemente der Technologischen Mechanik. 1st edn. Spriger-Verlag Berlin Heidelberg. Heidelberg, Germany.

    Book  MATH  Google Scholar 

  • Nguyen, D. T., Banh, T.-L., Kim, Y. S. and Jung, D. W. (2011). A modified Johnson-Cook model for sheet metal forming at elevated temperatures and its application for cooled stress-strain curve and spring-back prediction. AIP Conf. Proc. 1383, 1, 626–633.

    Google Scholar 

  • Regazzoni, G., Kocks, U. F. and Follansbee, P. S. (1987). Dislocation kinetics at high strain rates. Acta Metallurgica 35, 12, 2865–2875.

    Article  Google Scholar 

  • Rodríguez, J., Navarro, C. and Sánchez-Gálvez (1994). Some corrections to the data analysis of the dynamic tensile tests in the Hopkinson bar. 04, C8, C8–83–C8–88.

    Google Scholar 

  • Seidt, J. D. and Gilat, A. (2013). Plastic deformation of 2024-T351 aluminum plate over a wide range of loading conditions. Int. J. Solids and Structures 50, 10, 1781–1790.

    Article  Google Scholar 

  • Sima, M. and Özel, T. (2010). Modified material constitutive models for serrated chip formation simulations and experimental validation in machining of titanium alloy Ti-6Al-4V. Int. J. Machine Tools and Manufacture 50, 11, 943–960.

    Article  Google Scholar 

  • Smerd, R., Winkler, S., Salisbury, C., Worswick, M., Lloyd, D. and Finn, M. (2005). High strain rate tensile testing of automotive aluminum alloy sheet. Int. J. Impact Engineering 32, 1, 541–560.

    Article  Google Scholar 

  • Tanaka, K. and Nojima, T. (1975). Strain rate change tests of aluminum alloys under high strain rate. Proc. 19th Japan Cong. Materials Research, Tokyo, Japan, 48–51.

  • Wang, R., Zhang, H., Tang, L., Shao, J., Xiao, Z., Chen, Z., Liu, C. and Tang, J. (2019). Adiabatic shear deformation behaviors of cold-rolled copper under different impact loading directions. Materials Science and Engineering: A, 754, 330–338.

    Article  Google Scholar 

  • Xu, Z., He, X., Hu, H., Tan, P. J., Liu, Y. and Huang, F. (2019). Plastic behavior and failure mechanism of Ti-6Al-4V under quasi-static and dynamic shear loading. Int. J. Impact Engineering, 130, 281–291.

    Article  Google Scholar 

  • Zhang, X., Shivpuri, R. and Srivastava, A. K. (2016). Chip fracture behavior in the high speed machining of titanium alloys. J. Manufacturing Science and Engineering 138, 8, 081001.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Frontier Materials, Deakin University, Melbourne, VIC, 3216, Australia

    Prudvi Reddy Paresi & Jeong Whan Yoon

  2. School of Mechanical Engineering, Xi’an Jiaotong University, Shanxi, 710049, China

    Yanshan Lou

  3. Department of Mechanical Engineering, IIT Madras, Madras, Tamil Nadu, 600036, India

    Prudvi Reddy Paresi & Arunachalam Narayanan

  4. Department of Mechanical Engineering, KAIST, Daejeon, 34141, Korea

    Jeong Whan Yoon

Authors
  1. Prudvi Reddy Paresi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yanshan Lou
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Arunachalam Narayanan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Jeong Whan Yoon
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jeong Whan Yoon.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This paper was significantly extended and modified from the original paper presented in Asia-Pacific Symposium on Engineering Plasticity and its Applications 2018, and recommended by the Scientific & Technical Committee for journal publication.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Paresi, P.R., Lou, Y., Narayanan, A. et al. Enhanced Constitutive Model for Aeronautic Aluminium Alloy (AA2024-T351) under High Strain Rates and Elevated Temperatures. Int.J Automot. Technol. 20 (Suppl 1), 79–87 (2019). https://doi.org/10.1007/s12239-019-0130-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12239-019-0130-8

Key Words

Search

Navigation