Skip to main content
Log in

Revisiting the first Sandia Fracture Challenge with transient deformation heating and strain localization considerations

  • Original Paper
  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

Here, we present a systematic experimental study and accompanying theoretical analysis of the dependence of ductile fracture on strain localization, strain hardening rates, deformation-induced thermal softening, and transient heat conduction under spatially uniform as well as spatially heterogeneous deformation. Spatially uniform cases are studied via standard dogbone shaped specimens subject to uniaxial tension. Spatially heterogeneous deformation is studied via the so-called Sandia Fracture Challenge (SFC) specimen, which is a standard compact tension specimen modified with three machined holes in front of a blunt notch (Boyce et al. in Int J Fract 186(1–2):5–68, 2014). We utilize the same precipitation hardened martensitic stainless steel used in the first SFC experiments, i.e. 15-5 PH with an H1075 heat treatment. We also study 15-5 PH in Condition A and with the H900 heat treatment, each of which has a different hardening behavior and ductility. We find that the ductility does not correlate with the deformation to first crack initiation in the SFC specimen. Instead, hardening rates are better correlated. Moreover, a re-examination of (Boyce et al. in Int J Fract 186(1–2):5–68, 2014) finds that an accurate calibration of the hardening rates is strongly correlated with accurate blind predictions of ductile fracture in the SFC specimens. Given that thermal softening can greatly affect hardening rates, we provided a thermographic analysis of deformation-induced heating and transient heat transfer in both the dogbone shaped samples and the SFC specimens. Transient heating in stainless steels is found to have first-order effects on the strain at the onset of necking, strain to fracture, as well as strain localization and ductile fracture in complex geometries even under so-called quasi-static loading rates.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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
Fig. 15
Fig. 16
Fig. 17
Fig. 18

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  • Antolovich SD, Armstrong RW (2014) Plastic strain localization in metals: origins and consequences. Prog Mater Sci 59:1–160

    Google Scholar 

  • Ayres RA (1985) Thermal gradients, strain rate, and ductility in sheet steel tensile specimens. Metall Trans A 16(1):37–43

    Google Scholar 

  • Baxevanis T, Lagoudas D (2015) Fracture mechanics of shape memory alloys: review and perspectives. Int J Fract 191(1–2):191–213

    CAS  Google Scholar 

  • Birman V, Byrd LW (2000) Application of thermography to detection of matrix cracks in transverse layers and yarns of ceramic matrix composites. Int J Fract 102(1):21–26

    Google Scholar 

  • Blaber J, Adair B, Antoniou A (2015) Ncorr: open-source 2d digital image correlation matlab software. Exp Mech 55(6):1105–1122

    Google Scholar 

  • Boyce B, Kramer S, Bosiljevac T, Corona E, Moore J, Elkhodary K, Simha C, Williams B, Cerrone A, Nonn A et al (2016) The second sandia fracture challenge: predictions of ductile failure under quasi-static and moderate-rate dynamic loading. Int J Fract 198(1–2):5–100

    CAS  Google Scholar 

  • Boyce BL, Kramer SL, Fang HE, Cordova TE, Neilsen MK, Dion K, Kaczmarowski AK, Karasz E, Xue L, Gross AJ et al (2014) The sandia fracture challenge: blind round robin predictions of ductile tearing. Int J Fract 186(1–2):5–68

    Google Scholar 

  • Considère M (1885) Mémoire sur l’emploi du fer et de l’acier dans les constructions. Dunod, Vue Ch

    Google Scholar 

  • Cullen GW, Korkolis YP (2013) Ductility of 304 stainless steel under pulsed uniaxial loading. Int J Solids Struct 50(10):1621–1633

    CAS  Google Scholar 

  • Culver R (1973) Thermal instability strain in dynamic plastic deformation. In: Rohde R (ed) Metallurgical effects at high strain rates. Springer, Berlin, pp 519–530

    Google Scholar 

  • Dorward R, Hasse K (1995) Strain rate effects on tensile deformation of 2024–0 and 7075–0 aluminum alloy sheet. J Mater Eng Perform 4(2):216–220

    CAS  Google Scholar 

  • Dulieu-Barton J, Stanley P (1998) Development and applications of thermoelastic stress analysis. J Strain Anal Eng Des 33(2):93–104

    Google Scholar 

  • Edupack C (2009) Materials selection software from granta design, developed by m. ashby

  • Farren W, Taylor G (1925) The heat developed during plastic extension of metals. In: Proceedings of the royal society of London A: mathematical, physical and engineering sciences, Vol 107, The Royal Society, pp 422–51

  • Ferron G (1981) Influence of heat generation and conduction on plastic stability under uniaxial tension. Mater Sci Eng 49(3):241–248. https://doi.org/10.1016/0025-5416(81)90118-X

    Article  CAS  Google Scholar 

  • Gadaj S, Nowacki W, Pieczyska E (1996) Changes of temperature during the simple shear test of stainless steel. Arch Mech 48(4):779–788

    CAS  Google Scholar 

  • Gao Y, Wagoner R (1991) A simplified model of heat generation during the uniaxial tensile test. Metall Trans A 18(6):1001–1009

    Google Scholar 

  • Ghosh AK (1977) A numerical analysis of the tensile test for sheet metals. Metall Trans A 8(8):1221–1232

    Google Scholar 

  • Granato A, Joncich D, Khonik V (2010) Melting, thermal expansion, and the lindemann rule for elemental substances. Appl Phys Lett 97(17):171911

    Google Scholar 

  • Gross A, Ravi-Chandar K (2014) Prediction of ductile failure using a local strain-to-failure criterion. Int J Fract 186(1–2):69–91

    Google Scholar 

  • Huber ZF (2018) Full-field experimental analysis of ductile and fatigue fracture and the accompanying thermal effects. Master’s thesis, The University of Texas at San Antonio

  • Jaeger JC, Carslaw HS (1959) Conduction of heat in solids. Clarendon Press, Oxford

    Google Scholar 

  • Johnson GR, Cook WH (1985) Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Eng Fract Mech 21(1):31–48

    Google Scholar 

  • Kim YH, Wagoner R (1987) An analytical investigation of deformation-induced heating in tensile testing. Int J Mech Sci 29(3):179–194

    Google Scholar 

  • Kleemola H, Ranta-Eskola A (1979) Effect of strain rate and deformation temperature on the strain-hardening of sheet steel and brass in uniaxial tension. Sheet Metal Ind 56(11):1046

    Google Scholar 

  • Knysh P, Korkolis YP (2015) Determination of the fraction of plastic work converted into heat in metals. Mech Mater 86:71–80

    Google Scholar 

  • Korhonen A, Kleemola H (1978) Effects of strain rate and deformation heating in tensile testing. Metall Trans A 9(7):979–986

    Google Scholar 

  • Kramer SL, Boyce BL (2016) Preface to the special volume on the second sandia fracture challenge. Int J Fract 198(1–2):1–3

    Google Scholar 

  • Kramer S, Boyce B, Jones A, Gearhart J, Salzbrenner B (2019a) The sandia fracture challenge: how ductile failure predictions fare. In: Fracture, fatigue, failure and damage evolution, Vol 6, Springer, Berlin, pp 25–29

  • Kramer SL, Jones A, Mostafa A, Ravaji B, Tancogne-Dejean T, Roth CC, Bandpay MG, Pack K, Foster JT, Behzadinasab M et al (2019b) The third sandia fracture challenge: predictions of ductile fracture in additively manufactured metal. Int J Fract 218(1–2):5–61

  • Kumpulainen J, Ranta-Eskola A, Rintamaa R (1983) Effects of temperature on deep drawing of sheet metals

  • Lin M, Wagoner R (1986) Effect of temperature, strain, and strain rate on the tensile flow stress of if steel and stainless steel type 310. Scripta metall 20(1):143–148

    CAS  Google Scholar 

  • Livitsanos C, Thomson P (1977) The effect of temperature and deformation rate on transformation-dependent ductility of a metastable austenitic stainless steel. Mater Sci Eng 30(2):93–98

    CAS  Google Scholar 

  • Mason J, Rosakis A, Ravichandran G (1994) On the strain and strain rate dependence of the fraction of plastic work converted to heat: an experimental study using high speed infrared detectors and the kolsky bar. Mech Mater 17(2–3):135–145

    Google Scholar 

  • Mondelin A, Valiorgue F, Rech J, Coret M, Feulvarch E (2012) Hybrid model for the prediction of residual stresses induced by 15–5ph steel turning. Int J Mech Sci 58(1):69–85

    Google Scholar 

  • Nahshon K, Miraglia M, Cruce J, DeFrese R, Moyer E (2014) Prediction of the sandia fracture challenge using a shear modified porous plasticity model. Int J Fract 186(1–2):93–105

    Google Scholar 

  • Pack K, Roth CC (2016) The second sandia fracture challenge: blind prediction of dynamic shear localization and full fracture characterization. Int J Fract 198(1–2):197–220

    CAS  Google Scholar 

  • Pack K, Luo M, Wierzbicki T (2014) Sandia fracture challenge: blind prediction and full calibration to enhance fracture predictability. Int J Fract 186(1–2):155–175

    Google Scholar 

  • Palanisamy D, Senthil P (2016) Machinability study of laser surface treated 15–5 ph stainless steel. Mater Manuf Process 31(13):1755–1762

    CAS  Google Scholar 

  • Risitano A, Risitano G (2010) Cumulative damage evaluation of steel using infrared thermography. Theor Appl Fract Mech 54(2):82–90

    CAS  Google Scholar 

  • Rittel D, Zhang L, Osovski S (2017) The dependence of the taylor-quinney coefficient on the dynamic loading mode. J Mech Phys Solids 107:96–114

    CAS  Google Scholar 

  • Rocca R, Bever M (1950) The thermoelastic effect in iron and nickel as a function of temperature. Trans Am Inst Mining Metalll Eng 188(2):327–333

    Google Scholar 

  • Rodríguez-Martínez JA, Pesci R, Rusinek A (2011) Experimental study on the martensitic transformation in aisi 304 steel sheets subjected to tension under wide ranges of strain rate at room temperature. Mater Sci Eng A 528(18):5974–5982

    Google Scholar 

  • Rodríguez-Martínez JA, Rittel D, Zaera R, Osovski S (2013) Finite element analysis of aisi 304 steel sheets subjected to dynamic tension: the effects of martensitic transformation and plastic strain development on flow localization. Int J Impact Eng 54:206–216

    Google Scholar 

  • Rosakis P, Rosakis A, Ravichandran G, Hodowany J (2000) A thermodynamic internal variable model for the partition of plastic work into heat and stored energy in metals. J Mech Phys Solids 48(3):581–607

    CAS  Google Scholar 

  • Rule WK, Jones S (1998) A revised form for the johnson-cook strength model. Int J Impact Eng 21(8):609–624

    Google Scholar 

  • Rusinek A, Klepaczko J (2009) Experiments on heat generated during plastic deformation and stored energy for trip steels. Mater Des 30(1):35–48

    CAS  Google Scholar 

  • Sakagami T, Izumi Y, Kubo S (2010) Application of infrared thermography to structural integrity evaluation of steel bridges. J Mod Opt 57(18):1738–1746

    CAS  Google Scholar 

  • Spear AD, Czabaj MW, Newell P, DeMille K, Phung BR, Zhao D, Creveling P, Briggs N, Brodbine E, Creveling C et al (2019) The third sandia fracture challenge: from theory to practice in a classroom setting. Int J Fract 218(1–2):171–194

    Google Scholar 

  • Steel A (2007) Data sheet 15-5 ph. AK Steel Corp

  • Tvergaard V (1993) Necking in tensile bars with rectangular cross-section. Comput Methods Appl Mech Eng 103(1–2):273–290

    Google Scholar 

  • Wada M, Nakamura T, Kinoshita N (1978) Distribution of temperature, strain rate and strain in plastically deforming metals at high strain rates. Philos Mag A 38(2):167–185. https://doi.org/10.1080/01418617808239227

    Article  CAS  Google Scholar 

  • Wright T (1992) Shear band susceptibility: work hardening materials. Int J Plast 8(5):583–602

    Google Scholar 

  • Wu X, Ramesh K, Wright T (2003) The effects of thermal softening and heat conduction on the dynamic growth of voids. Int J Solids Struct 40(17):4461–4478. https://doi.org/10.1016/S0020-7683(03)00214-2

    Article  Google Scholar 

  • Zaera Polo RE, Rodríguez Martínez JA, Rittel D (2013) On the taylor-quinney coefficient in dynamically phase transforming materials. Application to 304 stainless steel

  • Zhang T, Fang E, Liu P, Lua J (2014) Modeling and simulation of 2012 sandia fracture challenge problem: phantom paired shell for abaqus and plane strain core approach. Int J Fract 186(1–2):117–139

    Google Scholar 

  • Zhang D-N, Shangguan Q-Q, Xie C-J, Liu F (2015) A modified johnson-cook model of dynamic tensile behaviors for 7075–t6 aluminum alloy. J Alloys Compd 619:186–194

    CAS  Google Scholar 

  • Zhou Z, Bhamare S, Qian D (2014) Ductile fracture in thin sheet metals: a fem study of the sandia fracture challenge problem based on the gurson-tvergaard-needleman fracture model. Int J Fract 186(1–2):185–200

    CAS  Google Scholar 

Download references

Acknowledgements

This material is based upon work supported by the Department of Defense through Grant number W911NF-15-1-0456 as well as by the Air Force Office of Scientific Research under award number FA9550-16-1-0204.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Justin W. Wilkerson.

Additional information

Publisher's Note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huber, Z., Wilkerson, J.W. Revisiting the first Sandia Fracture Challenge with transient deformation heating and strain localization considerations. Int J Fract 226, 197–217 (2020). https://doi.org/10.1007/s10704-020-00487-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10704-020-00487-7

Keywords

Navigation