A physics-based model and simple scaling law to predict the pressure dependence of single crystal spall strength

Nguyen, Thao; Luscher, D. J.; Wilkerson, J. W.

doi:10.1016/j.jmps.2020.103875

Title: A physics-based model and simple scaling law to predict the pressure dependence of single crystal spall strength

Journal Article · Thu Jan 16 00:00:00 UTC 2020 · Journal of the Mechanics and Physics of Solids

DOI: https://doi.org/10.1016/j.jmps.2020.103875 · OSTI ID:1595654

Nguyen, Thao ^[1]; Luscher, D. J. ^[2]; Wilkerson, J. W. ^[1]

Texas A & M Univ., College Station, TX (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

A homogenized framework for ductile damage accounting for the effect of void growth on the thermomechanical response of single crystals under dynamic loading (CPD-FE) is developed here. The current framework extends our prior work (Nguyen et al., 2017) by incorporating the yield function of Han et al. (2013) for porous single crystals to govern the degradation of the macroscopic critical resolved shear stress. Validation of the model against direct numerical simulations shows a significant improvement in accuracy under conditions of macroscopic shear loading. The model parameters are calibrated to Kolsky bar (split-Hopkinson pressure bar) and plate impact experiments, and utilized to predict spall strength of single crystal copper in ⟨100⟩ orientation. Simulation results show favorable agreement with single crystal plate impact tests over a range of strain rates and shock compression pressures. These simulation results are used to further interpret previous experimental observations on the rate and pressure sensitivity of spallation. Lastly, a simple analytical model for spall strength depending on the temperature, strain rate and pressure is proposed, which shows agreement with molecular dynamics (MD) simulations and experimental results. This analytical model of spall strength concisely captures the physical mechanisms governing the effects of pressure, strain rate, and temperature on spall strength.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Los Alamos National Laboratory (LANL)

Sponsoring Organization:: Army Research Laboratory (ARL); USDOE; USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP) (NA-10)

Grant/Contract Number:: 89233218CNA000001; AC52-06NA25396

OSTI ID:: 1595654

Report Number(s):: LA-UR--19-26276

Journal Information:: Journal of the Mechanics and Physics of Solids, Journal Name: Journal of the Mechanics and Physics of Solids Journal Issue: C Vol. 137; ISSN 0022-5096

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (56)

Dependence of the critical stresses on the loading time parameters during spall in copper, aluminum, and steel Romanchenko, V. I.; Stepanov, G. V. Journal of Applied Mechanics and Technical Physics, Vol. 21, Issue 4 https://doi.org/10.1007/BF00916495	journal	January 1981
A micromechanical constitutive model for dynamic damage and fracture of ductile materials Jacques, N.; Czarnota, C.; Mercier, S. International Journal of Fracture, Vol. 162, Issue 1-2 https://doi.org/10.1007/s10704-009-9436-2	journal	January 2010
Spall fracture: methodological aspects, mechanisms and governing factors Kanel, G. I. International Journal of Fracture, Vol. 163, Issue 1-2 https://doi.org/10.1007/s10704-009-9438-0	journal	January 2010
Effect of microstructural length scales on spall behavior of copper Minich, Roger W.; Cazamias, James U.; Kumar, Mukui Metallurgical and Materials Transactions A, Vol. 35, Issue 9 https://doi.org/10.1007/s11661-004-0212-7	journal	September 2004
Microstructural Effects on Damage Nucleation in Shock-Loaded Polycrystalline Copper Brown, Andrew David; Wayne, Leda; Pham, Quan Metallurgical and Materials Transactions A, Vol. 46, Issue 10 https://doi.org/10.1007/s11661-014-2482-z	journal	August 2014
Three-Dimensional Characterization and Modeling of Microstructural Weak Links for Spall Damage in FCC Metals Krishnan, Kapil; Brown, Andrew; Wayne, Leda Metallurgical and Materials Transactions A, Vol. 46, Issue 10 https://doi.org/10.1007/s11661-014-2667-5	journal	November 2014
Correlations Among Void Shape Distributions, Dynamic Damage Mode, and Loading Kinetics Brown, A. D.; Pham, Q.; Fortin, E. V. JOM, Vol. 69, Issue 2 https://doi.org/10.1007/s11837-016-2178-5	journal	November 2016
Modeling the Effects of Grain and Porosity Structure on Copper Spall Response Moore, John A.; Li, Shiu Fai; Rhee, Moon Journal of Dynamic Behavior of Materials, Vol. 4, Issue 4 https://doi.org/10.1007/s40870-018-0170-6	journal	August 2018
Analysis of the cup-cone fracture in a round tensile bar Tvergaard, V.; Needleman, A. Acta Metallurgica, Vol. 32, Issue 1 https://doi.org/10.1016/0001-6160(84)90213-X	journal	January 1984
A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable Follansbee, P. S.; Kocks, U. F. Acta Metallurgica, Vol. 36, Issue 1 https://doi.org/10.1016/0001-6160(88)90030-2	journal	January 1988
Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures Johnson, Gordon R.; Cook, William H. Engineering Fracture Mechanics, Vol. 21, Issue 1 https://doi.org/10.1016/0013-7944(85)90052-9	journal	January 1985
Dynamic growth of microvoids under combined hydrostatic and deviatoric stresses Cortés, Raul International Journal of Solids and Structures, Vol. 29, Issue 13 https://doi.org/10.1016/0020-7683(92)90013-J	journal	January 1992
The spall strength of condensed matter Grady, D. E. Journal of the Mechanics and Physics of Solids, Vol. 36, Issue 3 https://doi.org/10.1016/0022-5096(88)90015-4	journal	January 1988
Temperature dependent viscous drag in close-packed metals Vreeland, T.; Jassby, K. M. Materials Science and Engineering, Vol. 7, Issue 2 https://doi.org/10.1016/0025-5416(71)90029-2	journal	February 1971
Work jardening and the pressure dependence of dislocation density and arrangements in shock loaded nickel and copper Murr, L. E. Scripta Metallurgica, Vol. 12, Issue 2 https://doi.org/10.1016/0036-9748(78)90164-3	journal	February 1978
Micromechanical modelling of porous materials under dynamic loading Molinari, A.; Mercier, S. Journal of the Mechanics and Physics of Solids, Vol. 49, Issue 7 https://doi.org/10.1016/S0022-5096(01)00003-5	journal	July 2001
Void growth by dislocation emission Lubarda, V. A.; Schneider, M. S.; Kalantar, D. H. Acta Materialia, Vol. 52, Issue 6 https://doi.org/10.1016/j.actamat.2003.11.022	journal	April 2004
On the dynamically stored energy of cold work in pure single crystal and polycrystalline copper Rittel, D.; Kidane, A. A.; Alkhader, M. Acta Materialia, Vol. 60, Issue 9 https://doi.org/10.1016/j.actamat.2012.03.029	journal	May 2012
Microstructural effects on damage evolution in shocked copper polycrystals Lieberman, Evan J.; Lebensohn, Ricardo A.; Menasche, David B. Acta Materialia, Vol. 116 https://doi.org/10.1016/j.actamat.2016.06.054	journal	September 2016
Orientation dependent spall strength of tantalum single crystals Hahn, Eric N.; Fensin, Saryu J.; Germann, Timothy C. Acta Materialia, Vol. 159 https://doi.org/10.1016/j.actamat.2018.07.073	journal	October 2018
The role of elastic and plastic anisotropy in intergranular spall failure Nguyen, Thao; Luscher, D. J.; Wilkerson, J. W. Acta Materialia, Vol. 168 https://doi.org/10.1016/j.actamat.2019.01.033	journal	April 2019
An approximate yield criterion for porous single crystals Paux, J.; Morin, L.; Brenner, R. European Journal of Mechanics - A/Solids, Vol. 51 https://doi.org/10.1016/j.euromechsol.2014.11.004	journal	May 2015
A dislocation-based constitutive model for viscoplastic deformation of fcc metals at very high strain rates Austin, Ryan A.; McDowell, David L. International Journal of Plasticity, Vol. 27, Issue 1 https://doi.org/10.1016/j.ijplas.2010.03.002	journal	January 2011
Parameterization of a rate-dependent model of shock-induced plasticity for copper, nickel, and aluminum Austin, Ryan A.; McDowell, David L. International Journal of Plasticity, Vol. 32-33 https://doi.org/10.1016/j.ijplas.2011.11.002	journal	May 2012
Simulation of shock wave propagation in single crystal and polycrystalline aluminum Lloyd, J. T.; Clayton, J. D.; Becker, R. International Journal of Plasticity, Vol. 60 https://doi.org/10.1016/j.ijplas.2014.04.012	journal	September 2014
An elastoviscoplastic model for porous single crystals at finite strains and its assessment based on unit cell simulations Ling, Chao; Besson, Jacques; Forest, Samuel International Journal of Plasticity, Vol. 84 https://doi.org/10.1016/j.ijplas.2016.05.001	journal	September 2016
On the micromechanics of void dynamics at extreme rates Wilkerson, J. W. International Journal of Plasticity, Vol. 95 https://doi.org/10.1016/j.ijplas.2017.03.008	journal	August 2017
On computing the evolution of temperature for materials under dynamic loading Luscher, Darby J.; Buechler, Miles A.; Walters, David J. International Journal of Plasticity, Vol. 111 https://doi.org/10.1016/j.ijplas.2018.07.014	journal	December 2018
A yield function for single crystals containing voids Han, X.; Besson, J.; Forest, S. International Journal of Solids and Structures, Vol. 50, Issue 14-15 https://doi.org/10.1016/j.ijsolstr.2013.02.005	journal	July 2013
Plastic yield criterion and hardening of porous single crystals Paux, J.; Brenner, R.; Kondo, D. International Journal of Solids and Structures, Vol. 132-133 https://doi.org/10.1016/j.ijsolstr.2017.08.030	journal	February 2018
Modelling of dynamic ductile fracture and application to the simulation of plate impact tests on tantalum Czarnota, C.; Jacques, N.; Mercier, S. Journal of the Mechanics and Physics of Solids, Vol. 56, Issue 4 https://doi.org/10.1016/j.jmps.2007.07.017	journal	April 2008
A model for finite-deformation nonlinear thermomechanical response of single crystal copper under shock conditions Luscher, Darby J.; Bronkhorst, Curt A.; Alleman, Coleman N. Journal of the Mechanics and Physics of Solids, Vol. 61, Issue 9 https://doi.org/10.1016/j.jmps.2013.05.002	journal	September 2013
A dynamic void growth model governed by dislocation kinetics Wilkerson, J. W.; Ramesh, K. T. Journal of the Mechanics and Physics of Solids, Vol. 70 https://doi.org/10.1016/j.jmps.2014.05.018	journal	October 2014
A closed-form criterion for dislocation emission in nano-porous materials under arbitrary thermomechanical loading Wilkerson, J. W.; Ramesh, K. T. Journal of the Mechanics and Physics of Solids, Vol. 86 https://doi.org/10.1016/j.jmps.2015.10.005	journal	January 2016
A dislocation density-based continuum model of the anisotropic shock response of single crystal α-cyclotrimethylene trinitramine Luscher, D. J.; Addessio, F. L.; Cawkwell, M. J. Journal of the Mechanics and Physics of Solids, Vol. 98 https://doi.org/10.1016/j.jmps.2016.09.005	journal	January 2017
A dislocation-based crystal plasticity framework for dynamic ductile failure of single crystals Nguyen, Thao; Luscher, D. J.; Wilkerson, J. W. Journal of the Mechanics and Physics of Solids, Vol. 108 https://doi.org/10.1016/j.jmps.2017.07.020	journal	November 2017
Orientation dependence of void formation and substructure deformation in a spalled copper bicrystal Perez-Bergquist, A. G.; Cerreta, E. K.; Trujillo, C. P. Scripta Materialia, Vol. 65, Issue 12 https://doi.org/10.1016/j.scriptamat.2011.09.015	journal	December 2011
Dynamic yield and tensile strength of aluminum single crystals at temperatures up to the melting point Kanel, G. I.; Razorenov, S. V.; Baumung, K. Journal of Applied Physics, Vol. 90, Issue 1 https://doi.org/10.1063/1.1374478	journal	July 2001
Static and Dynamic Pore‐Collapse Relations for Ductile Porous Materials Carroll, M. M.; Holt, A. C. Journal of Applied Physics, Vol. 43, Issue 4 https://doi.org/10.1063/1.1661372	journal	April 1972
Spall behavior of aluminum with varying microstructures Chen, X.; Asay, J. R.; Dwivedi, S. K. Journal of Applied Physics, Vol. 99, Issue 2 https://doi.org/10.1063/1.2165409	journal	January 2006
Atomistic simulations of shock induced microstructural evolution and spallation in single crystal nickel Srinivasan, S. G.; Baskes, M. I.; Wagner, G. J. Journal of Applied Physics, Vol. 101, Issue 4 https://doi.org/10.1063/1.2423084	journal	February 2007
On the influence of loading profile upon the tensile failure of stainless steel Gray, G. T. (Rusty); Bourne, N. K.; Henrie, B. L. Journal of Applied Physics, Vol. 101, Issue 9 https://doi.org/10.1063/1.2720099	journal	May 2007
Shock-induced spall in solid and liquid Cu at extreme strain rates Luo, Sheng-Nian; An, Qi; Germann, Timothy C. Journal of Applied Physics, Vol. 106, Issue 1 https://doi.org/10.1063/1.3158062	journal	July 2009
Spall damage of copper under supported and decaying shock loading Luo, Sheng-Nian; Germann, Timothy C.; Tonks, Davis L. Journal of Applied Physics, Vol. 106, Issue 12 https://doi.org/10.1063/1.3271414	journal	December 2009
Tensile plasticity and ductile fracture Johnson, J. N.; Addessio, F. L. Journal of Applied Physics, Vol. 64, Issue 12 https://doi.org/10.1063/1.342000	journal	December 1988
Atomic scale studies of spall behavior in nanocrystalline Cu Dongare, Avinash M.; Rajendran, Arunachalam M.; LaMattina, Bruce Journal of Applied Physics, Vol. 108, Issue 11 https://doi.org/10.1063/1.3517827	journal	December 2010
Effects of grain size and boundary structure on the dynamic tensile response of copper Escobedo, J. P.; Dennis-Koller, D.; Cerreta, E. K. Journal of Applied Physics, Vol. 110, Issue 3 https://doi.org/10.1063/1.3607294	journal	August 2011
Influence of grain boundary properties on spall strength: Grain boundary energy and excess volume Fensin, S. J.; Valone, S. M.; Cerreta, E. K. Journal of Applied Physics, Vol. 112, Issue 8 https://doi.org/10.1063/1.4761816	journal	October 2012
Response and representation of ductile damage under varying shock loading conditions in tantalum Bronkhorst, C. A.; Gray, G. T.; Addessio, F. L. Journal of Applied Physics, Vol. 119, Issue 8 https://doi.org/10.1063/1.4941823	journal	February 2016
Spall response of single-crystal copper Turley, W. D.; Fensin, S. J.; Hixson, R. S. Journal of Applied Physics, Vol. 123, Issue 5 https://doi.org/10.1063/1.5012267	journal	February 2018
Effect of peak stress and tensile strain-rate on spall in tantalum Jones, D. R.; Fensin, S. J.; Martinez, D. T. Journal of Applied Physics, Vol. 124, Issue 8 https://doi.org/10.1063/1.5045045	journal	August 2018
Unraveling the Anomalous Grain Size Dependence of Cavitation Wilkerson, J. W.; Ramesh, K. T. Physical Review Letters, Vol. 117, Issue 21 https://doi.org/10.1103/PhysRevLett.117.215503	journal	November 2016
A Yield Criterion for Porous Ductile Media at High Strain Rate Wang, Ze-Ping; Jiang, Qing Journal of Applied Mechanics, Vol. 64, Issue 3 https://doi.org/10.1115/1.2788921	journal	September 1997
Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media Gurson, A. L. Journal of Engineering Materials and Technology, Vol. 99, Issue 1 https://doi.org/10.1115/1.3443401	journal	January 1977
A Maximum in the Strength of Nanocrystalline Copper Schiotz, J. Science, Vol. 301, Issue 5638 https://doi.org/10.1126/science.1086636	journal	September 2003
Anomalous size effects in nanoporous materials induced by high surface energies Wilkerson, Justin W. Journal of Materials Research, Vol. 34, Issue 13 https://doi.org/10.1557/jmr.2019.100	journal	April 2019

Similar Records

Spall response of single-crystal copper

Journal Article · Thu Feb 01 00:00:00 UTC 2018 · Journal of Applied Physics · OSTI ID:1480016

Turley, W. D.; Fensin, S. J.; Hixson, R. S.; +5 more

A continuum damage approach to spallation and the role of microinertia

Journal Article · Mon Feb 28 00:00:00 UTC 2022 · Journal of Applied Physics · OSTI ID:1861960

Qamar, S. B.; Moore, J. A.; Barton, N. R.

Quantitative measurement of the development of recrystallization texture in OFE copper

Conference · Mon Jan 01 04:00:00 UTC 1990 · OSTI ID:6201363

Necker, C T; Doherty, R D; Rollett, A D

Related Subjects

42 ENGINEERING
Crystal plasticity
Damage
Failure
Fracture
Shock
Spall
Strain rate
Void

Title: A physics-based model and simple scaling law to predict the pressure dependence of single crystal spall strength

Citation Formats

References (56)

Similar Records

Related Subjects