A Modified Johnson–Cook Model for Dynamic Response of Metals with an Explicit Strain- and Strain-Rate-Dependent Adiabatic Thermosoftening Effect

Song, B.; Sanborn, B.

doi:10.1007/s40870-019-00203-0

A Modified Johnson–Cook Model for Dynamic Response of Metals with an Explicit Strain- and Strain-Rate-Dependent Adiabatic Thermosoftening Effect

Journal Article · Mon Jun 24 00:00:00 EDT 2019 · Journal of Dynamic Behavior of Materials

DOI:https://doi.org/10.1007/s40870-019-00203-0· OSTI ID:1529151

Song, B. ^[1]; Sanborn, B. ^[1]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Metallic alloys are extensively utilized in applications where extreme loading and environmental conditions occur and engineering reliability of components or structures made of such materials is a significant concern in applications. Adiabatic heating in these materials during high-rate deformation is of great interest to analysts, experimentalists, and modelers due to a reduction in strength that is produced. Capturing the thermosoftening caused by adiabatic heating is critical in material model development to precisely predict the dynamic response of materials and structures at high rates of loading. In addition to strain rate effect, the Johnson–Cook (JC) model includes a term to describe the effect of either environmental or adiabatic temperature rise. The standard expression of the JC model requires quantitative knowledge of temperature rise, but it can be challenging to obtain in situ temperature measurements, especially in dynamic experiments. The temperature rise can be calculated from plastic work with a predetermined Taylor-Quinney (TQ) coefficient. Yet, the TQ coefficient is difficult to determine since it may be strain and strain-rate dependent. Here, we modified the JC model with a power-law strain rate effect and an explicit form of strain- and strain-rate-dependent thermosoftening due to adiabatic temperature rise to describe the strain-rate-dependent tensile stress–strain response, prior to the onset of necking, for 304L stainless steel, A572, and 4140 steels. The modified JC model was also used to describe the true stress–strain response during necking for A572 and 4140 steels at various strain rates. The results predicted with the modified JC model agreed with the tensile experimental data reasonably well.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000; NA0003525

OSTI ID:: 1529151

Alternate ID(s):: OSTI ID: 1641709

Report Number(s):: SAND--2019-3194J; 673657

Journal Information:: Journal of Dynamic Behavior of Materials, Journal Name: Journal of Dynamic Behavior of Materials Journal Issue: 3 Vol. 5; ISSN 2199-7446

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

References (32)

Split Hopkinson (Kolsky) Bar Chen, Weinong; Song, Bo Mechanical Engineering Series https://doi.org/10.1007/978-1-4419-7982-7	book	January 2011
Partition of plastic work into heat and stored energy in metals Hodowany, J.; Ravichandran, G.; Rosakis, A. J. Experimental Mechanics, Vol. 40, Issue 2 https://doi.org/10.1007/BF02325036	journal	June 2000
Determination of the plastic work converted to heat using radiometry Macdougall, D. Experimental Mechanics, Vol. 40, Issue 3 https://doi.org/10.1007/BF02327503	journal	September 2000
Investigation on the plastic work-heat conversion coefficient of 7075-T651 aluminum alloy during an impact process based on infrared temperature measurement technology Zhang, Tong; Guo, Ze-Rong; Yuan, Fu-Ping Acta Mechanica Sinica, Vol. 34, Issue 2 https://doi.org/10.1007/s10409-017-0673-8	journal	May 2017
Determination of Early Flow Stress for Ductile Specimens at High Strain Rates by Using a SHPB Song, B.; Chen, W.; Antoun, B. R. Experimental Mechanics, Vol. 47, Issue 5 https://doi.org/10.1007/s11340-007-9048-6	journal	April 2007
Determination of the Constitutive Relation Parameters of a Metallic Material by Measurement of Temperature Increment in Compressive Dynamic Tests Guzmán, R.; Meléndez, J.; Zahr, J. Experimental Mechanics, Vol. 50, Issue 3 https://doi.org/10.1007/s11340-009-9223-z	journal	February 2009
Synchronous Full-Field Strain and Temperature Measurement in Tensile Tests at Low, Intermediate and High Strain Rates Seidt, J. D.; Kuokkala, V-T.; Smith, J. L. Experimental Mechanics, Vol. 57, Issue 2 https://doi.org/10.1007/s11340-016-0237-z	journal	November 2016
An Apparatus for Tensile Characterization of Materials within the Upper Intermediate Strain Rate Regime Song, B.; Sanborn, B.; Heister, J. D. Experimental Mechanics, Vol. 59, Issue 7 https://doi.org/10.1007/s11340-019-00494-3	journal	March 2019
A model for the heating due to plastic work Zehnder, Alan T. Mechanics Research Communications, Vol. 18, Issue 1 https://doi.org/10.1016/0093-6413(91)90023-P	journal	January 1991
Pressure-shear impact and the dynamic viscoplastic response of metals Klopp, R. W.; Clifton, R. J.; Shawki, T. G. Mechanics of Materials, Vol. 4, Issue 3-4 https://doi.org/10.1016/0167-6636(85)90033-X	journal	December 1985
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 Mason, J. J.; Rosakis, A. J.; Ravichandran, G. Mechanics of Materials, Vol. 17, Issue 2-3 https://doi.org/10.1016/0167-6636(94)90054-X	journal	March 1994
Experimental and theoretical study of mechanical behavior of 1100 aluminum in the strain rate range 10−5−104s−1 Khan, Akhtar S.; Huang, Sujian International Journal of Plasticity, Vol. 8, Issue 4 https://doi.org/10.1016/0749-6419(92)90057-J	journal	January 1992
A thermodynamic internal variable model for the partition of plastic work into heat and stored energy in metals Rosakis, P.; Rosakis, A. J.; Ravichandran, G. Journal of the Mechanics and Physics of Solids, Vol. 48, Issue 3 https://doi.org/10.1016/S0022-5096(99)00048-4	journal	March 2000
On the conversion of plastic work to heat during high strain rate deformation of glassy polymers Rittel, D. Mechanics of Materials, Vol. 31, Issue 2 https://doi.org/10.1016/S0167-6636(98)00063-5	journal	February 1999
Relationship of compressive stress-strain response of engineering materials obtained at constant engineering and true strain rates Song, Bo; Sanborn, Brett International Journal of Impact Engineering, Vol. 119 https://doi.org/10.1016/j.ijimpeng.2018.05.001	journal	September 2018
Nanocrystalline aluminum and iron: Mechanical behavior at quasi-static and high strain rates, and constitutive modeling Khan, Akhtar S.; Suh, Yeong S.; Chen, Xu International Journal of Plasticity, Vol. 22, Issue 2 https://doi.org/10.1016/j.ijplas.2004.07.008	journal	February 2006
Grain size, strain rate, and temperature dependence of flow stress in ultra-fine grained and nanocrystalline Cu and Al: Synthesis, experiment, and constitutive modeling Farrokh, Babak; Khan, Akhtar S. International Journal of Plasticity, Vol. 25, Issue 5 https://doi.org/10.1016/j.ijplas.2008.08.001	journal	May 2009
Ductility of 304 stainless steel under pulsed uniaxial loading Cullen, Graham W.; Korkolis, Yannis P. International Journal of Solids and Structures, Vol. 50, Issue 10 https://doi.org/10.1016/j.ijsolstr.2013.01.020	journal	May 2013
A basic approach for strain rate dependent energy conversion including heat transfer effects: An experimental and numerical study Meyer, L. W.; Herzig, N.; Halle, T. Journal of Materials Processing Technology, Vol. 182, Issue 1-3 https://doi.org/10.1016/j.jmatprotec.2006.07.040	journal	February 2007
Experiments on heat generated during plastic deformation and stored energy for TRIP steels Rusinek, A.; Klepaczko, J. R. Materials & Design, Vol. 30, Issue 1 https://doi.org/10.1016/j.matdes.2008.04.048	journal	January 2009
A critical review of experimental results and constitutive descriptions for metals and alloys in hot working Lin, Y. C.; Chen, Xiao-Min Materials & Design, Vol. 32, Issue 4 https://doi.org/10.1016/j.matdes.2010.11.048	journal	April 2011
Calorimetric consequences of thermal softening in Johnson–Cook’s model Ranc, N.; Chrysochoos, A. Mechanics of Materials, Vol. 65 https://doi.org/10.1016/j.mechmat.2013.05.007	journal	October 2013
Plastic work induced heating evaluation under dynamic conditions: Critical assessment Longère, Patrice; Dragon, André Mechanics Research Communications, Vol. 35, Issue 3 https://doi.org/10.1016/j.mechrescom.2007.11.001	journal	April 2008
Effect of small temperature variations on the tensile behaviourof Ti-6Al-4V López, J. Galán; Peirs, J.; Verleysen, P. Procedia Engineering, Vol. 10 https://doi.org/10.1016/j.proeng.2011.04.384	journal	January 2011
High Strain Rate Tensile Response of A572 and 4140 Steel Sanborn, Brett; Song, Bo; Thompson, Andrew Procedia Engineering, Vol. 197 https://doi.org/10.1016/j.proeng.2017.08.079	journal	January 2017
Dynamic deformation behaviors and constitutive relations of an AlCoCr 1.5 Fe 1.5 NiTi 0.5 high-entropy alloy Zhang, T. W.; Jiao, Z. M.; Wang, Z. H. Scripta Materialia, Vol. 136 https://doi.org/10.1016/j.scriptamat.2017.03.039	journal	July 2017
Identification of strain-rate and thermal sensitive material model with an inverse method Peroni, L.; Scapin, M.; Peroni, M. EPJ Web of Conferences, Vol. 6 https://doi.org/10.1051/epjconf/20100639004	journal	January 2010
Dislocation‐mechanics‐based constitutive relations for material dynamics calculations Zerilli, Frank J.; Armstrong, Ronald W. Journal of Applied Physics, Vol. 61, Issue 5 https://doi.org/10.1063/1.338024	journal	March 1987
The Latent Energy Remaining in a Metal after Cold Working Taylor, G. I.; Quinney, H. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 143, Issue 849 https://doi.org/10.1098/rspa.1934.0004	journal	January 1934
Thermal Effects During Tensile Deformation of Ti-6Al-4V at Different Strain Rates: Thermal Effects During Deformation of Ti-6Al-4V at Different Strain Rates Galán, J.; Verleysen, P.; Degrieck, J. Strain, Vol. 49, Issue 4 https://doi.org/10.1111/str.12042	journal	July 2013
Properties and Structure of X30MnAlSi26-4-3 High Strength Steel Subjected to Dynamic Compression Processes Śmiglewicz, A.; Jabłońska, M.; Moćko, W. Archives of Metallurgy and Materials, Vol. 62, Issue 4 https://doi.org/10.1515/amm-2017-0332	journal	December 2017
Strain Rate Sensitivity of Tensile Properties in Ti-6.6Al-3.3Mo-1.8Zr-0.29Si Alloy: Experiments and Constitutive Modeling Zhang, Jun; Wang, Yang; Zhang, Bin Materials, Vol. 11, Issue 9 https://doi.org/10.3390/ma11091591	journal	September 2018