Skip to main content
Log in

Large Strain Shear Compression Test of Sheet Metal Specimens

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

A hybrid experimental-computational procedure to establish accurate true stress-plastic strain curve of sheet metal specimen covering the large plastic strain region using shear compression test data is described. A new shear compression jig assembly with a machined gage slot inclined at 35° to the horizontal plane of the assembly is designed and fabricated. The novel design of the shear compression jig assembly fulfills the requirement to maintain a uniform volume of yielded material with characteristic maximum plastic strain level across the gage region of the Shear Compression Metal Sheet (SCMS) specimen. The approach relies on a one-to-one correlation between measured global load–displacement response of the shear compression jig assembly with SCMS specimen to the local stress-plastic strain behavior of the material. Such correlations have been demonstrated using finite element (FE) simulation of the shear compression test. Coefficients of the proposed correlations and their dependency on relative plastic modulus were determined. The procedure has been established for materials with relative plastic modulus in the range 5 × 10−4 < (E p /E) < 0.01. It can be readily extended to materials with relative plastic modulus values beyond the range considered in this study. Nonlinear characteristic hardening of the material could be established through piecewise linear consideration of the measured load–displacement curve. Validity of the procedure is established by close comparison of measured and FE-predicted load–displacement curve when the provisional hardening curve is employed as input material data in the simulation. The procedure has successfully been demonstrated in establishing the true stress-plastic strain curve of a demonstrator 0.0627C steel SCMS specimen to a plastic strain level of 49.2 pct.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  1. Rice JR, Tracey DM (1969) On the ductile enlargement of voids in triaxial stress fields. J Mech Phys Solids 17(3):201–217

    Article  Google Scholar 

  2. Choung JM, Cho SR (2008) Study on true stress correction from tensile tests. J Mech Sci Technol 22(6):1039–1051

    Article  Google Scholar 

  3. Ling Y (1996) Uniaxial true stress–strain after necking. AMP J Technol 5:37–48

    Google Scholar 

  4. Zhang ZL, Hauge M, Ødegård J, Thaulow C (1999) Determining material true stress–strain curve from tensile specimens with rectangular cross-section. Int J Solids Struct 36(23):3497–3516

    Article  MATH  Google Scholar 

  5. Joun M, Choi I, Eom J, Lee M (2007) Finite element analysis of tensile testing with emphasis on necking. Comput Mater Sci 41(1):63–69

    Article  Google Scholar 

  6. Johnson GR, Cook WH (1983) A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. Proc 7th International Symposium on Ballistics. The Hague, Netherlands: International Ballistics Committee

  7. Bodner SR, Partom Y (1975) Constitutive equations for elastic-viscoplastic strain-hardening materials. Trans ASME J Appl Mech 42:385–389

    Article  Google Scholar 

  8. Anand L (1985) Constitutive equations for hot-working of metals. Int J Plast 1(3):213–231

    Article  MATH  Google Scholar 

  9. Rusinek A, Klepaczko JR (2001) Shear testing of a sheet steel at wide range of strain rates and a constitutive relation with strain-rate and temperature dependence of the flow stress. Int J Plast 17(1):87–115

    Article  Google Scholar 

  10. Lee W-S, Liu C-Y (2006) The effects of temperature and strain rate on the dynamic flow behaviour of different steels. Mater Sci Eng, A 426(1):101–113

    Article  MathSciNet  Google Scholar 

  11. Brar NS, Joshi VS, Harris BW (2007) Constitutive model constants for low carbon steels from tension and torsion data. Proc 15th APS Topical Conference on Shock Compression of Condensed Matter. Hawaii: APS

  12. Hooputra HH, Gese HD, Werner H (2004) A comprehensive failure model for crashworthiness simulation of aluminum extrusions. Int J Crashworthiness 9(5):449–463

    Article  Google Scholar 

  13. Ishiguro TY, Yoshida NY, Ishikawa T (2009) Deformation analysis of shearing process using results of notched round bar tension test. Mater Trans 50(7):1671–1677

    Article  Google Scholar 

  14. Oh CS, Kim NH, Kim YJ, Baek JH, Kim YP, Kim WS (2011) A finite element ductile failure simulation method using stress-modified fracture strain model. Eng Fract Mech 78(1):124–137

    Article  Google Scholar 

  15. Borhana AA, Mohamad AT, Abdul-Latif A, Ahmad Z, Ayob A, Tamin MN (2012) Ductile failure prediction of spot welded lap joint. Appl Mech Mater 165:285–289

    Article  Google Scholar 

  16. (2000) ASTM, Standard test method for uniaxial tension test, ASTM-E8. Philadelphia, PA

  17. (2009) BSI, British Standard Institution BS EN ISO 6892-1, Metallic materials-Tensile testing. London

  18. (2000) ASTM, Standard test methods for compression testing of metallic materials at room temperature, ASTM E9-89a. West Conshohocken, PA

  19. (2011) BSI, British Standard Institution BS ISO 13314, Mechanical testing of metals. Ductility testing. Compression test for porous and cellular metals. London

  20. Bao Y (2003) Prediction of ductile crack formation in uncracked bodies. Dissertation, Department of Ocean Engineering, Massachusetts Institute of Technology

  21. Dorogoy A, Karp B, Rittel D (2011) A shear compression disk specimen with controlled stress triaxiality under quasi-static loading. Exp Mech 51:1545–1557

    Article  Google Scholar 

  22. Dorogoy A, Karp B, Rittel D (2013) A shear compression disk specimen with controlled stress triaxiality under dynamic loading. Exp Mech 53(2):243–253

    Article  Google Scholar 

  23. Balakrishnan V (1999) Measurement of in-plane Bauschinger effect in metal sheets. Dissertation, Ohio State University

  24. Bae GH, Huh H (2011) Cyclic tension/compression test of auto-body steel sheets with the variation of the strain rate. In: IDDRG, Bilbao, Spain

  25. Merklein M, Kuppert A (2009) A method for the layer compression test considering the anisotropic material behavior. Int J Mater Form 2:483–486

    Article  Google Scholar 

  26. Rittel D, Lee S, Ravichandran G (2002) A shear-compression specimen for large strain testing. Exp Mech 42(1):58–64

    Article  Google Scholar 

  27. Vural M, Rittel D, Ravichandran G (2003) Large strain mechanical behavior of 1018 cold-rolled steel over a wide range of strain rates. Metall Mater Trans A Phys Metall Mater Sci 34A(12):2873–2885

    Article  Google Scholar 

  28. Rittel D, Ravichandran G, Lee S (2002) Large strain constitutive behavior of OFHC copper over a wide range of strain rates using the shear compression specimen. Mech Mater 34(10):627–642

    Article  Google Scholar 

  29. Vural M, Molinari A, Bhattacharyya N (2011) Analysis of slot orientation in shear-compression specimen (SCS). Exp Mech 51(3):263–273

    Article  Google Scholar 

  30. Dorogoy A, Rittel D (2005) Numerical validation of the shear compression specimen. Part 1: quasi-static large strain testing. Exp Mech 45(2):167–177

    Article  Google Scholar 

  31. Dorogoy A, Rittel D (2006) A numerical study of the applicability of the shear compression specimen to parabolic hardening materials. Exp Mech 46(3):355–366

    Article  Google Scholar 

  32. Kalidindi SR, Abusafieh A, ElDanaf E (1997) Accurate characterization of machine compliance for simple compression testing. Exp Mech 37(2):210–215

    Article  Google Scholar 

  33. Lovato ML, Stout MG (1992) Compression testing techniques to determine the stress/strain behavior of metals subject to finite deformation. Metall Trans A 23(A):935–951

    Article  Google Scholar 

Download references

Acknowledgments

This work is supported by the Ministry of Science, Technology and Innovation (MOSTI), Malaysia through Technofund Research Grant No. 79909 and by Sebha University, Libya through UTM Grant No. 73746.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. N. Tamin.

Appendix

Appendix

Details on geometry and dimensions of the shear compression jig assembly is illustrated in Figs. 15 and 16, along with definitions of variables used in the text.

Fig. 15
figure 15

Drawings of inner loading parts and the outer guide cylinder of the shear compression jig assembly illustrating geometrical parameters used in the study. Dimensions in mm

Fig. 16
figure 16

Shear compression jig assembly illustrating the global load and displacement variables used in the study

Rights and permissions

Reprints and permissions

About this article

Cite this article

Borhana, A., Ali, H.O. & Tamin, M.N. Large Strain Shear Compression Test of Sheet Metal Specimens. Exp Mech 53, 1449–1460 (2013). https://doi.org/10.1007/s11340-013-9763-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11340-013-9763-0

Keywords

Navigation