A continuum damage approach to spallation and the role of microinertia

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

doi:10.1063/5.0078182

Title: A continuum damage approach to spallation and the role of microinertia

Journal Article · 28 February 2022 · Journal of Applied Physics

DOI: https://doi.org/10.1063/5.0078182 · OSTI ID:1861960

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Texas A & M Univ., College Station, TX (United States)
Marquette Univ., Milwaukee, WI (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Spall failure is of interest due to its prevalence in high strain rate problems in which the spallation is driven by the interaction of release waves. In this article, a porosity-based damage model that includes microinertial effects is used to examine spall failure. The model is successfully calibrated to plate impact-driven experiments and then used to evaluate experimental conditions producing more extreme strain rate conditions, such as those in laser-driven experiments. The incorporation of microinertia allows us to better understand the increase in apparent macroscopic spall strength seen at high strain rates. Correspondingly, we conclude that the incorporation of microinertial effects improves the model’s predictive capabilities. Microinertial effects result in more severe local tensile stresses that affect the damage evolution, and microinertia can play a significant role in the approach to the material’s ideal strength at extreme loading rates. Additionally, a preliminary parametric study is also carried out to investigate the role of microstructural aspects such as nucleation volume fraction and initial pore radius. One counter-intuitive result from the microinertial effects is that, for a given nucleation site volume fraction, having larger initial pore nucleation sites can lead to an improved macroscopic spall strength.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

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

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1861960

Report Number(s):: LLNL-JRNL-827784; 1043049

Journal Information:: Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 8 Vol. 131; ISSN 0021-8979

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (57)

Modelling of nucleation and void growth in dynamic pressure loading, application to spall test on tantalum Czarnota, Christophe; Mercier, Sébastien; Molinari, Alain International Journal of Fracture, Vol. 141, Issue 1-2 https://doi.org/10.1007/s10704-006-0070-y	journal	September 2006
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
Void coalescence in a porous solid under dynamic loading conditions Jacques, N.; Mercier, S.; Molinari, A. International Journal of Fracture, Vol. 173, Issue 2 https://doi.org/10.1007/s10704-012-9683-5	journal	February 2012
Direct numerical simulation of ductile spall failure Becker, Richard International Journal of Fracture, Vol. 208, Issue 1-2 https://doi.org/10.1007/s10704-017-0198-y	journal	March 2017
Evaluation of Gurson yield function dependencies through large-scale void growth simulations Becker, Richard; Callaghan, Kyle International Journal of Fracture, Vol. 209, Issue 1-2 https://doi.org/10.1007/s10704-017-0248-5	journal	October 2017
A comparison of Gurson and Cocks–Ashby porosity kinetics and degradation functions Moore, John A.; Frasca, Andrew International Journal of Fracture, Vol. 229, Issue 2 https://doi.org/10.1007/s10704-021-00539-6	journal	April 2021
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
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
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
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
On creep fracture by void growth Cocks, A. C. F.; Ashby, M. F. Progress in Materials Science, Vol. 27, Issue 3-4 https://doi.org/10.1016/0079-6425(82)90001-9	journal	January 1982
Dynamic failure of solids Curran, D. Physics Reports, Vol. 147, Issue 5-6 https://doi.org/10.1016/0370-1573(87)90049-4	journal	March 1987
Ring fragmentation predictions using the Gurson model with material stability conditions as failure criteria Becker, R. International Journal of Solids and Structures, Vol. 39, Issue 13-14 https://doi.org/10.1016/S0020-7683(02)00170-1	journal	June 2002
Use of different damage models for simulating impact-driven spallation in metal plates Ikkurthi, V. R.; Chaturvedi, S. International Journal of Impact Engineering, Vol. 30, Issue 3 https://doi.org/10.1016/S0734-743X(03)00070-8	journal	March 2004
Void nucleation and associated plasticity in dynamic fracture of polycrystalline copper: an atomistic simulation Rudd, Robert E.; Belak, James F. Computational Materials Science, Vol. 24, Issue 1-2 https://doi.org/10.1016/S0927-0256(02)00181-7	journal	May 2002
Laser shock-induced spalling and fragmentation in vanadium Jarmakani, H.; Maddox, B.; Wei, C. T. Acta Materialia, Vol. 58, Issue 14 https://doi.org/10.1016/j.actamat.2010.04.027	journal	August 2010
Modeling void growth in polycrystalline materials Lebensohn, Ricardo A.; Escobedo, Juan P.; Cerreta, Ellen K. Acta Materialia, Vol. 61, Issue 18 https://doi.org/10.1016/j.actamat.2013.08.004	journal	October 2013
Failure of metals I: Brittle and ductile fracture Pineau, A.; Benzerga, A. A.; Pardoen, T. Acta Materialia, Vol. 107 https://doi.org/10.1016/j.actamat.2015.12.034	journal	April 2016
Spall strength dependence on grain size and strain rate in tantalum Remington, T. P.; Hahn, E. N.; Zhao, S. Acta Materialia, Vol. 158 https://doi.org/10.1016/j.actamat.2018.07.048	journal	October 2018
A computationally efficient ductile damage model accounting for nucleation and micro-inertia at high triaxialities Versino, Daniele; Bronkhorst, Curt A. Computer Methods in Applied Mechanics and Engineering, Vol. 333 https://doi.org/10.1016/j.cma.2018.01.028	journal	May 2018
A physical model for nucleation and early growth of voids in ductile materials under dynamic loading Molinari, A.; Wright, T. W. Journal of the Mechanics and Physics of Solids, Vol. 53, Issue 7 https://doi.org/10.1016/j.jmps.2005.02.010	journal	July 2005
Effects of microscale inertia on dynamic ductile crack growth Jacques, N.; Mercier, S.; Molinari, A. Journal of the Mechanics and Physics of Solids, Vol. 60, Issue 4 https://doi.org/10.1016/j.jmps.2011.12.010	journal	April 2012
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
The structure of steady shock waves in porous metals Czarnota, Christophe; Molinari, Alain; Mercier, Sébastien Journal of the Mechanics and Physics of Solids, Vol. 107 https://doi.org/10.1016/j.jmps.2017.06.005	journal	October 2017
Functionally graded Inconel 718 processed by additive manufacturing: Crystallographic texture, anisotropy of microstructure and mechanical properties Popovich, V. A.; Borisov, E. V.; Popovich, A. A. Materials & Design, Vol. 114 https://doi.org/10.1016/j.matdes.2016.10.075	journal	January 2017
A constitutive model for porous solids taking into account microscale inertia and progressive void nucleation Jacques, N.; Mercier, S.; Molinari, A. Mechanics of Materials, Vol. 80 https://doi.org/10.1016/j.mechmat.2014.01.008	journal	January 2015
Spall strength of a mild carbon steel: Effects of tensile stress history and shock-induced microstructure Li, C.; Yang, K.; Tang, X. C. Materials Science and Engineering: A, Vol. 754 https://doi.org/10.1016/j.msea.2019.03.019	journal	April 2019
Associating damage nucleation and distribution with grain boundary characteristics in Ta Chen, J.; Fensin, S. J. Scripta Materialia, Vol. 187 https://doi.org/10.1016/j.scriptamat.2020.06.035	journal	October 2020
Experimental measurements of the strength of metals approaching the theoretical limit predicted by the equation of state Moshe, E.; Eliezer, S.; Henis, Z. Applied Physics Letters, Vol. 76, Issue 12 https://doi.org/10.1063/1.126094	journal	March 2000
Femtosecond-laser-induced spallation in aluminum Tamura, H.; Kohama, T.; Kondo, K. Journal of Applied Physics, Vol. 89, Issue 6 https://doi.org/10.1063/1.1346996	journal	March 2001
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
Dynamic fracture and spallation in ductile solids Johnson, J. N. Journal of Applied Physics, Vol. 52, Issue 4 https://doi.org/10.1063/1.329011	journal	April 1981
Modeling of the elastic precursor behavior and dynamic inelasticity of tantalum under ramp wave loading to 17 GPa Ding, J. L.; Asay, J. R.; Ao, T. Journal of Applied Physics, Vol. 107, Issue 8 https://doi.org/10.1063/1.3373388	journal	April 2010
A constitutive model for strain rates from 10 ⁻ ⁴ to 10 ⁶ s ⁻ ¹ Steinberg, D. J.; Lund, C. M. Journal of Applied Physics, Vol. 65, Issue 4 https://doi.org/10.1063/1.342968	journal	February 1989
A multiscale strength model for extreme loading conditions Barton, N. R.; Bernier, J. V.; Becker, R. Journal of Applied Physics, Vol. 109, Issue 7 https://doi.org/10.1063/1.3553718	journal	April 2011
Shock compression and quasielastic release in tantalum Johnson, J. N.; Hixson, R. S.; Tonks, D. L. High-pressure science and technology—1993, AIP Conference Proceedings https://doi.org/10.1063/1.46295	conference	January 1994
A multiscale strength model for tantalum over an extended range of strain rates Barton, N. R.; Rhee, M. Journal of Applied Physics, Vol. 114, Issue 12 https://doi.org/10.1063/1.4822027	journal	September 2013
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
Results from a new Cocks-Ashby style porosity model Barton, Nathan SHOCK COMPRESSION OF CONDENSED MATTER - 2015: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.4971654	conference	January 2017
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
Dynamic evolution of microstructure during laser shock loading and spall failure of single crystal Al at the atomic scales Galitskiy, Sergey; Ivanov, Dmitry S.; Dongare, Avinash M. Journal of Applied Physics, Vol. 124, Issue 20 https://doi.org/10.1063/1.5051618	journal	November 2018
Anelastic effects on reverse loading – Connection to evolving dislocation structure Barton, Nathan R.; Austin, Ryan A.; Brown, Justin L. SHOCK COMPRESSION OF CONDENSED MATTER - 2019: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/12.0000914	conference	January 2020
Specific features of the behaviour of targets under negative pressures created by a picosecond laser pulse Abrosimov, S. A.; Bazhulin, A. P.; Voronov, Valerii V. Quantum Electronics, Vol. 43, Issue 3 https://doi.org/10.1070/QE2013v043n03ABEH015106	journal	March 2013
Using high energy diffraction microscopy to assess a model for microstructural sensitivity in spall response Barton, N. R.; Rhee, M.; Li, S. F. Journal of Physics: Conference Series, Vol. 500, Issue 11 https://doi.org/10.1088/1742-6596/500/11/112007	journal	May 2014
Multiscale strength (MS) models: their foundation, their successes, and their challenges Rudd, R. E.; Arsenlis, A.; Barton, N. R. Journal of Physics: Conference Series, Vol. 500, Issue 11 https://doi.org/10.1088/1742-6596/500/11/112055	journal	May 2014
A Method of Measuring the Pressure Produced in the Detonation of High Explosives or by the Impact of Bullets Hopkinson, B. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 213, Issue 497-508 https://doi.org/10.1098/rsta.1914.0010	journal	January 1914
Analytic model of the shear modulus at all temperatures and densities Burakovsky, Leonid; Greeff, Carl W.; Preston, Dean L. Physical Review B, Vol. 67, Issue 9 https://doi.org/10.1103/PhysRevB.67.094107	journal	March 2003
Effect of stress triaxiality on void growth in dynamic fracture of metals: A molecular dynamics study Seppälä, E. T.; Belak, J.; Rudd, R. E. Physical Review B, Vol. 69, Issue 13 https://doi.org/10.1103/PhysRevB.69.134101	journal	April 2004
First-principles thermoelasticity of transition metals at high pressure: Tantalum prototype in the quasiharmonic limit Orlikowski, Daniel; Söderlind, Per; Moriarty, John A. Physical Review B, Vol. 74, Issue 5 https://doi.org/10.1103/PhysRevB.74.054109	journal	August 2006
Void Nucleation Effects in Biaxially Stretched Sheets Chu, C. C.; Needleman, A. Journal of Engineering Materials and Technology, Vol. 102, Issue 3 https://doi.org/10.1115/1.3224807	journal	July 1980
Intergranular fracture during power-law creep under multiaxial stresses Cocks, A. C. F.; Ashby, M. F. Metal Science, Vol. 14, Issue 8-9 https://doi.org/10.1179/030634580790441187	journal	August 1980
Characterization of Tri-lab Tantalum Plate. Buchheit, Thomas; Cerreta, Ellen; Deibler, Lisa https://doi.org/10.2172/1157524	report	September 2014
ALE3D: An Arbitrary Lagrangian-Eulerian Multi-Physics Code Noble, Charles; Anderson, Andrew; Barton, Nathan https://doi.org/10.2172/1361589	report	May 2017
Laser Driven Compression to Investigate Shock-Induced Melting of Metals de Rességuier, Thibaut; Loison, Didier; Dragon, André Metals, Vol. 4, Issue 4 https://doi.org/10.3390/met4040490	journal	October 2014

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36 MATERIALS SCIENCE
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Title: A continuum damage approach to spallation and the role of microinertia

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