Experimental Techniques

, Volume 42, Issue 4, pp 393–406 | Cite as

Mechanical Properties of AISI 1045 Steel Subjected to Combined Loads of Tension and Torsion

  • G. Zhao
  • L. Liu
  • D. Wang
  • J. GuoEmail author
  • W. Chen


The quasi-static standard tensile, torsional, and combined tension and torsion tests were performed at room temperature to investigate the mechanical properties of normalized AISI 1045 steel specimens. The performance of yielding, Young’s modulus, and modulus of elasticity in shear were analyzed via two kinds of experiments with sequence-given loading paths, such as tension-torsion (torsional response after tension) and torsion-tension (tensile response after torsion) tests, under various preloads. Additionally, time-variant coupled effects between the shear stress and normal stress responded similarly in tension-torsion and torsion-tension experiments. Results demonstrate that ultimate strengths of torsion and tension obtained by combined tension and torsion tests were consistent with those strengths achieved by standard uniaxial tests. Yield strengths derived by the Von Mises criterion and combined tension and torsion test were compared, and results showed maximum deviations of 23.01% and 43.28% in shear and normal stress, respectively. Results indicated that the material exhibited quite different mechanical properties under combined loads of tension and torsion from those under uniaxial loads.

Graphical Abstract


Tension-torsion test Torsion-tension test Mechanical property Coupled effects Von Mises error 



All of the experiments described herein was performed at Beijing University of Technology and was supported by National Natural Science Foundation of China (51305013).


  1. 1.
    Guo JZ, Wang D, Fan R, Chen WY, Zhao GH (2016) Development of a material testing machine with multi-dimensional loading capability. J Adv Mech Des Syst 10.
  2. 2.
    Li Y, Lu J (2014) Lightweight structure design for wind energy by integrating nanostructured materials. Mater Design 57:689–696. CrossRefGoogle Scholar
  3. 3.
    Anderson KR, Clark A, Forgette D, Devost M, Okerson R, Wells T, Cunningham S, Stuart M (2014) Analysis and design of a lightweight high specific power two-stroke polygon engine. J Eng Gas Turbines Power 136:041508-1-041508-8. Google Scholar
  4. 4.
    Feng B, Xu ML, Zhao TF, Zhang ZJ, Lu TJ (2010) Triaxial extensometer for volumetric strain measurement in a hydro-compression loading test for foam materials. Meas Sci Technol 21.
  5. 5.
    Yu MH (2002) Advances in strength theories for materials under complex stress state in the 20th Century. Mech Rev 55:169–218. CrossRefGoogle Scholar
  6. 6.
    De Souza Neto EA, Perić D, Owen DRJ (2008) Computational methods for plasticity: theory and applications. Oxford, New York.
  7. 7.
    Wei QS (1995) Interaction yield hypersurfaces for the plastic behaviour of beams - II. Combining bending, tension, shear and torsion. Int J Mech Sci 37:221–238. CrossRefGoogle Scholar
  8. 8.
    Barlat F, Ha J, Gracio JJ, Lee M-G, Rauch EF, Vincze G (2013) Extension of homogeneous anisotropic hardening model to cross-loading with latent effects. Int J Plast 46:130–142. CrossRefGoogle Scholar
  9. 9.
    Andrianopoulos NP, Manolopoulos VM (2014) Elastic strain energy density decomposition in failure of ductile materials under combined torsion-tension. IJMME 9:1–12. Google Scholar
  10. 10.
    Marciniak Z, Duncan JL, Hu SJ (2002) Mechanics of sheet metal forming. Butterworth-Heinemann, OxfordGoogle Scholar
  11. 11.
    Lee CS, Hwang W, Park HC, Han KS (1999) Failure of carbon/epoxy composite tubes under combined axial and torsional loading 1. Experimental results and prediction of biaxial strength by the use of neural networks. Compos Sci Technol 59:1779–1788. CrossRefGoogle Scholar
  12. 12.
    Khashaba UA, Aldousari SM, Najjar IMR (2012) Behavior of [0]8 woven composites under combined bending and tension loading: part - I experimental and analytical. J Compos Mater 46:1345–1355. CrossRefGoogle Scholar
  13. 13.
    Khoshbakht M, Chowdhury SJ, Seif MA, Khashaba UA (2009) Failure of woven composites under combined tension-bending loading. Compos Struct 90:279–286. CrossRefGoogle Scholar
  14. 14.
    Palmer SO, Nettles AT, Poe CC (1999) An experimental study of a stitched composite with a notch subjected to combined bending and tension loading. NASA TM 1999–209511Google Scholar
  15. 15.
    Zheng XL, Zhao K, Wang H, Yan JH (2003) Failure criterion with given survivability for ceramic notched elements under combined tension/torsion. Mat Sci Eng A-Struct 357:196–202. CrossRefGoogle Scholar
  16. 16.
    Nohut S, Usbeck A, Oezcoban H, Krause D, Schneider GA (2010) Determination of the multiaxial failure criteria for alumina ceramics under tension-torsion test. J Eur Ceram Soc 30:3339–3349. CrossRefGoogle Scholar
  17. 17.
    Lee JW, Kim SN, Lee MG, Barlat F (2011) Evaluation of anisotropic yield functions characterized by uniaxial and biaxial experiments for formability of DP590 sheet steel. In: Menary G (ed) 14th international conference on material forming Esaform, 2011 proceedings, vol 1353. AIP conference proceedings. pp 1458-1463.
  18. 18.
    Brünig M, Gerke S, Schmidt M (2016) Experiments on damage and failure mechanisms in ductile metals at different loading conditions. In: Naumenko K, Aßmus M (eds) Advanced methods of continuum mechanics for materials and structures. Springer Nature, Singapore, pp 279–293. Google Scholar
  19. 19.
    Kim S, Lee J, Barlat F, Lee MG (2013) Formability prediction of advanced high strength steels using constitutive models characterized by uniaxial and biaxial experiments. J Mater Process Technol 213:1929–1942. CrossRefGoogle Scholar
  20. 20.
    Bruschi S, Altan T, Banabic D, Bariani PF, Brosius A, Cao J, Ghiotti A, Khraisheh M, Merklein M, Tekkaya AE (2014) Testing and modelling of material behaviour and formability in sheet metal forming. Cirp Ann-Manuf Techn 63:727–749. CrossRefGoogle Scholar
  21. 21.
    Graf A, Hosford W (1994) The influence of strain-path changes on forming limit diagrams of A1 6111 T4. Int J Mech Sci 36:897–910. CrossRefGoogle Scholar
  22. 22.
    Wilson DV, Zandrahimi M, Roberts WT (1990) Effects of changes in strain path on work-hardening in CP aluminium and an Al Cu Mg alloy. Acta Mater 38:215–226. CrossRefGoogle Scholar
  23. 23.
    Ha J, Lee MG, Barlat F (2013) Strain hardening response and modeling of EDDQ and DP780 steel sheet under non-linear strain path. Mech Mater 64:11–26. CrossRefGoogle Scholar
  24. 24.
    Andrusca L, Goanta V, Barsanescu PD, Savin A (2016) Experimental characterization of materials subjected to combined loading conditions. In: Doroftei I, Popescu A, Bujoreanu C (eds) 7th international conference on advanced concepts in mechanical engineering, vol 147. IOP Conference Series-Materials Science and Engineering.
  25. 25.
    Wang CP, Li FG, Wei L, Yang YJ, Dong JZ (2013) Experimental microindentation of pure copper subjected to severe plastic deformation by combined tension-torsion. Mat Sci Eng A-Struct 571:95–102. CrossRefGoogle Scholar
  26. 26.
    Li JH, Li FG, Hussain MZ, Wang CP, Wang L (2014) Micro-structural evolution subjected to combined tension-torsion deformation for pure copper. Mat Sci Eng A-Struct 610:181–187. CrossRefGoogle Scholar
  27. 27.
    Correa ECS, Aguilar MTP, Cetlin PR (2002) The effect of tension/torsion strain path changes on the work hardening of Cu-Zn brass. J Mater Process Technol 124:384–388. CrossRefGoogle Scholar
  28. 28.
    Correa ECS, Aguilar MTP, Monteiro WA, Cetlin PR (2000) Work hardening behavior of pre-strained steel in tensile and torsion tests. J Mater Sci Lett 19:779–781. CrossRefGoogle Scholar
  29. 29.
    Graham SM, Zhang TT, Gao XS, Hayden M (2012) Development of a combined tension-torsion experiment for calibration of ductile fracture models under conditions of low triaxiality. Int J Mech Sci 54:172–181. CrossRefGoogle Scholar
  30. 30.
    Millán MR, Romero AV, Arias Á (2015) Failure behavior of 2024-T3 aluminum under tension-torsion conditions. J Mech Sci Technol 29:4657–4663. CrossRefGoogle Scholar
  31. 31.
    Korneva A, Korznikova G, Berent K, Korznikov A, Kashaev R, Bogucka J, Sztwiertnia K (2014) Microstructure evolution and magnetic properties of hard magnetic FeCr22Co15 alloy subjected to tension combined with torsion. J Alloys Compd 615:S300–S303. CrossRefGoogle Scholar
  32. 32.
    Timoshnko SP (1991) Mechanics of material. Springer Science, UK.
  33. 33.
    Liu LH (2015) Material mechanics experimental tutorial. Posts & Telecom, BeijingGoogle Scholar
  34. 34.
    Richard GB (1999) Advanced strength and applied stress analysis. WCB/McGraw-Hill, BostonGoogle Scholar

Copyright information

© The Society for Experimental Mechanics, Inc 2018

Authors and Affiliations

  1. 1.School of Mechanical Engineering and AutomationBeihang UniversityBeijingChina

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