journal article·2022-07Open access

Role of $${\varvec{\alpha}} \to {\varvec{\varepsilon}} \to {\varvec{\alpha}}$$ phase transformation on the spall behavior of iron at atomic scales

Ke Ma, Avinash M. Dongare

Journal of Materials Science· Volume 57· Issue 26

Abstract

Shock compression of iron microstructures above a threshold stress results in a $$alpha left( {BCC} ight) o varepsilon left( {HCP} ight)$$ transformation, and the propagation of the release wave brings the metal back to the $$alpha$$ phase following the $$varepsilon o alpha$$ transformation. Predicting failure behavior under shock loading conditions (spallation) relies on understanding the evolution of defects in the microstructure as it undergoes the $$alpha o varepsilon o alpha$$ phase transformation. This study uses molecular dynamics (MD) simulations to investigate the role of defect evolution during the $$alpha o varepsilon o alpha$$ phase transformation on the spall strength values of single-crystal (sc) Fe microstructures. The MD simulations aim to characterize the $$varepsilon$$ phase fraction formed during shock compression and the defects during shock release for variations in loading orientations and shock stresses. The simulations are carried out for loading along the [100], [110], [111], and [112] orientations and for impact velocities ranging from 600 m/s to 1 km/s. The $$varepsilon$$ phase fractions during compression and defects (dislocations, twins) characterized during spall failure show an orientation dependence that affects the spall strength values. The lowest value for spall strength is observed for the $$110$$ loading orientation that shows a high density of twins at the spall plane, whereas the highest value is observed for the $$100$$ orientation and is associated with a $$alpha left( {BCC} ight) o gamma left( {FCC} ight)$$ transformation at the spall plane. The correlations of the spall strength values with the strain rates and with the $$varepsilon$$ phase fractions are discussed.
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OpenAlex topics: High-Velocity Impact and Material Behavior · Microstructure and mechanical properties · High-pressure geophysics and materials

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References (75)

Show source-provided references
1. Meyers MA, Taylor Aimone C (1983) Dynamic fracture (spalling) of metals. Prog Mater Sci 28:1. https://doi.org/10.1016/0079-6425(83)90003-810.1016/0079-6425(83)90003-8 ↗
2. Meyers MA (1994) Dynamic behavior of materials. John wiley & sons, New York10.1002/9780470172278 ↗
3. Curran D, Seaman L, Shockey D (1987) Dynamic failure of solids. Phys Rep 147:25310.1016/0370-1573(87)90049-4 ↗
4. Whelchel RL, Kennedy GB, Dwivedi SK, Sanders TH, Thadhani NN (2013) Spall behavior of rolled aluminum 5083–H116 plate. J Appl Phys. https://doi.org/10.1063/1.481145210.1063/1.4811452 ↗
5. Kanel GI, Razorenov SV, Baumung K, Singer J (2001) Dynamic yield and tensile strength of aluminum single crystals at temperatures up to the melting point. J Appl Phys 90:136. https://doi.org/10.1063/1.137447810.1063/1.1374478 ↗
6. Kanel GI, Razorenov SV, Bogatch A, Utkin AV, Fortov VE, Grady DE (1996) Spall fracture properties of aluminum and magnesium at high temperatures. J Appl Phys 79:8310. https://doi.org/10.1063/1.36254210.1063/1.362542 ↗
7. Turley WD, Fensin SJ, Hixson RS et al (2018) Spall response of single-crystal copper. J Appl Phys. https://doi.org/10.1063/1.501226710.1063/1.5012267 ↗
8. Zaretsky EB, Kanel GI (2015) Yield stress, polymorphic transformation, and spall fracture of shock-loaded iron in various structural states and at various temperatures. J Appl Phys 117:195901. https://doi.org/10.1063/1.492135610.1063/1.4921356 ↗
9. Gilath I, Eliezer S, Dariel MP, Kornblit L (1988) Brittle-to-ductile transition in laser-induced spall at ultrahigh strain rate in 6061–T6 aluminum alloy. Appl Phys Lett 52:1207. https://doi.org/10.1063/1.9915910.1063/1.99159 ↗
10. Tamura H, Kohama T, Kondo K, Yoshida M (2001) Femtosecond-laser-induced spallation in aluminum. J Appl Phys 89:3520. https://doi.org/10.1063/1.134699610.1063/1.1346996 ↗
11. Moshe E, Eliezer S, Dekel E et al (1998) An increase of the spall strength in aluminum, copper, and metglas at strain rates larger than 107 s−1. J Appl Phys 83:4004. https://doi.org/10.1063/1.36722210.1063/1.367222 ↗
12. Eliezer S, Moshe E, Eliezer DAN (2002) Laser-induced tension to measure the ultimate strength of metals related to the equation of state. Laser Part Beams 20:87. https://doi.org/10.1017/S026303460220112310.1017/S0263034602201123 ↗
13. KT Ramesh (2008) Sprinr Handbook of Experimental Solid MechanicsSpringer US,
14. Cottet F, Boustie M (1989) Spallation studies in aluminum targets using shock waves induced by laser irradiation at various pulse durations. J Appl Phys 66:4067. https://doi.org/10.1063/1.34399110.1063/1.343991 ↗
15. Cuq-Lelandais JP, Boustie M, Berthe L et al (2009) Spallation generated by femtosecond laser driven shocks in thin metallic targets. J Phys D: Appl Phys 42:06540210.1088/0022-3727/42/6/065402 ↗
16. Wei CT, Maddox BR, Stover AK, Weihs TP, Nesterenko VF, Meyers MA (2011) Reaction in Ni–Al laminates by laser-shock compression and spalling. Acta Mater 59:5276. https://doi.org/10.1016/j.actamat.2011.05.00410.1016/j.actamat.2011.05.004 ↗
17. Kanel GI (2014) Unusual behaviour of usual materials in shock waves. J Phys: Conf Ser 500:012001
18. Chevrier P, Klepaczko JR (1999) Spall fracture: mechanical and microstructural aspects. Eng Fract Mech 63:273. https://doi.org/10.1016/S0013-7944(99)00022-310.1016/S0013-7944(99)00022-3 ↗
19. Agarwal G, Dongare AM (2016) Shock wave propagation and spall failure in single crystal Mg at atomic scales. J Appl Phys. https://doi.org/10.1063/1.494494210.1063/1.4944942 ↗
20. Dongare AM, LaMattina B, Rajendran AM (2011) Atomic scale studies of spall behavior in single crystal Cu. Procedia Eng 10:3636. https://doi.org/10.1016/j.proeng.2011.04.59810.1016/j.proeng.2011.04.598 ↗
21. Dongare AM, Rajendran AM, LaMattina B, Zikry MA, Brenner DW (2010) Atomic scale studies of spall behavior in nanocrystalline Cu. J Appl Phys. https://doi.org/10.1063/1.351782710.1063/1.3517827 ↗
22. Mackenchery K, Valisetty RR, Namburu RR, Stukowski A, Rajendran AM, Dongare AM (2016) Dislocation evolution and peak spall strengths in single crystal and nanocrystalline Cu. J Appl Phys. https://doi.org/10.1063/1.493986710.1063/1.4939867 ↗
23. Suresh S, Lee SW, Aindow M, Brody HD, Champagne VK Jr, Dongare AM (2018) Unraveling the mesoscale evolution of microstructure during supersonic impact of aluminum powder particles. Sci Rep 8:10075. https://doi.org/10.1038/s41598-018-28437-310.1038/s41598-018-28437-3 ↗
24. Galitskiy S, Ivanov DS, Dongare AM (2018) Dynamic evolution of microstructure during laser shock loading and spall failure of single crystal Al at the atomic scales. J Appl Phys. https://doi.org/10.1063/1.505161810.1063/1.5051618 ↗
25. Echeverria MJ, Galitskiy S, Mishra A, Dingreville R, Dongare AM (2021) Understanding the plasticity contributions during laser-shock loading and spall failure of Cu microstructures at the atomic scales. Comput Mater Sci. https://doi.org/10.1016/j.commatsci.2021.11066810.1016/j.commatsci.2021.110668 ↗
26. Agarwal G, Dongare AM (2018) Defect and damage evolution during spallation of single crystal Al: comparison between molecular dynamics and quasi-coarse-grained dynamics simulations. Comput Mater Sci 145:68. https://doi.org/10.1016/j.commatsci.2017.12.03210.1016/j.commatsci.2017.12.032 ↗
27. Ma K, Chen J, Dongare AM (2021) Role of pre-existing dislocations on the shock compression and spall behavior in single-crystal copper at atomic scales. J Appl Phys. https://doi.org/10.1063/5.004080210.1063/5.0040802 ↗
28. Jarmakani H, Maddox B, Wei CT, Kalantar D, Meyers MA (2010) Laser shock-induced spalling and fragmentation in vanadium. Acta Mater 58:4604. https://doi.org/10.1016/j.actamat.2010.04.02710.1016/j.actamat.2010.04.027 ↗
29. Grady DE (1988) The spall strength of condensed matter. J Mech Phys Solids 36:353. https://doi.org/10.1016/0022-5096(88)90015-410.1016/0022-5096(88)90015-4 ↗
30. Kanel GI, Razorenov SV, Utkin AV et al (1993) Spall strength of molybdenum single crystals. J Appl Phys 74:7162. https://doi.org/10.1063/1.35503210.1063/1.355032 ↗
31. Dandekar DP, Weisgerber WJ (1999) Shock response of a heavy tungsten alloy. Int J Plast 15:1291. https://doi.org/10.1016/S0749-6419(99)00041-810.1016/S0749-6419(99)00041-8 ↗
32. Albertazzi B, Ozaki N, Zhakhovsky V et al (2017) Dynamic fracture of tantalum under extreme tensile stress. Sci Adv 3:e1602705. https://doi.org/10.1126/sciadv.160270510.1126/sciadv.1602705 ↗
33. Escobedo JP, Cerreta EK, Dennis-Koller D (2014) Effect of crystalline structure on intergranular failure during shock loading. JOM 66:156. https://doi.org/10.1007/s11837-013-0798-610.1007/s11837-013-0798-6 ↗
34. de Rességuier T, Hallouin M (2008) Effects of the α−εphase transition on wave propagation and spallation in laser shock-loaded iron. Phys Rev B. https://doi.org/10.1103/PhysRevB.77.17410710.1103/PhysRevB.77.174107 ↗
35. Ashitkov SI, Zhakhovsky VV, Inogamov NA, Komarov PS, Agranat MB, Kanel GI (2017) The behavior of iron under ultrafast shock loading driven by a femtosecond laser. AIP Conf Proc 1793:100035. https://doi.org/10.1063/1.497166010.1063/1.4971660 ↗
36. Mahajan S (1970) Effects of existing substructure on shock-twinning behaviour of iron. Physica Status Solidi (a) 2(2):217–223. https://doi.org/10.1002/pssa.1970002020510.1002/pssa.19700020205 ↗
37. Mahajan S, Bartlett AF (1971) Influence of prior mechanical and thermal treatments on shock-induced substructures in molybdenum. Acta Metall 19:1111. https://doi.org/10.1016/0001-6160(71)90043-510.1016/0001-6160(71)90043-5 ↗
38. Christian JW, Mahajan S (1995) Deformation twinning. Prog Mater Sci 39:1. https://doi.org/10.1016/0079-6425(94)00007-710.1016/0079-6425(94)00007-7 ↗
39. Murr LE, Meyers MA, Niou CS, Chen YJ, Pappu S, Kennedy C (1997) Shock-induced deformation twinning in tantalum. Acta Mater 45:157. https://doi.org/10.1016/S1359-6454(96)00145-010.1016/S1359-6454(96)00145-0 ↗
40. Hsiung LM, Lassila DH (2000) Shock-induced deformation twinning and omega transformation in tantalum and tantalum–tungsten alloys. Acta Mater 48:4851. https://doi.org/10.1016/S1359-6454(00)00287-110.1016/S1359-6454(00)00287-1 ↗
41. Murr LE, Esquivel EV (2004) Observations of common microstructural issues associated with dynamic deformation phenomena: Twins, microbands, grain size effects, shear bands, and dynamic recrystallization. J Mater Sci 39:1153. https://doi.org/10.1023/B:JMSC.0000013870.09241.c010.1023/B:JMSC.0000013870.09241.c0 ↗
42. Florando JN, Barton NR, El-Dasher BS, McNaney JM, Kumar M (2013) Analysis of deformation twinning in tantalum single crystals under shock loading conditions. J Appl Phys 113:083522. https://doi.org/10.1063/1.479222710.1063/1.4792227 ↗
43. Chen CQ, Florando JN, Kumar M, Ramesh KT, Hemker KJ (2014) Incipient deformation twinning in dynamically sheared bcc tantalum. Acta Mater 69:114. https://doi.org/10.1016/j.actamat.2014.01.04610.1016/j.actamat.2014.01.046 ↗
44. Florando JN, El-Dasher BS, Chen C et al (2016) Effect of strain rate and dislocation density on the twinning behavior in tantalum. AIP Adv 6:045120. https://doi.org/10.1063/1.494852810.1063/1.4948528 ↗
45. Bancroft D, Peterson EL, Minshall S (1956) Polymorphism of Iron at high pressure. J Appl Phys 27:291. https://doi.org/10.1063/1.172235910.1063/1.1722359 ↗
46. Barker LM, Hollenbach RE (1974) Shock wave study of the α ⇄ ε phase transition in iron. J Appl Phys 45:4872. https://doi.org/10.1063/1.166314810.1063/1.1663148 ↗
47. Smith RF, Eggert JH, Swift DC et al (2013) Time-dependence of the alpha to epsilon phase transformation in iron. J Appl Phys. https://doi.org/10.1063/1.483965510.1063/1.4839655 ↗
48. Wang SJ, Sui ML, Chen YT et al (2013) Microstructural fingerprints of phase transitions in shock-loaded iron. Sci Rep 3:1086. https://doi.org/10.1038/srep0108610.1038/srep01086 ↗
49. Dougherty LM, Gray Iii GT, Cerreta EK, McCabe RJ, Field RD, Bingert JF (2009) Rare twin linked to high-pressure phase transition in iron. Scripta Mater 60:772. https://doi.org/10.1016/j.scriptamat.2009.01.01410.1016/j.scriptamat.2009.01.014 ↗
50. Garkushin GV, Naumova NS, Atroshenko SA, Razorenov SV (2016) Influence of the reversible α–ε phase transition and preliminary shock compression on the spall strength of armco iron. Tech Phys 61:84. https://doi.org/10.1134/s106378421601010210.1134/s1063784216010102 ↗
51. Righi G, Ruestes CJ, Stan CV et al (2021) Towards the ultimate strength of iron: spalling through laser shock. Acta Mater. https://doi.org/10.1016/j.actamat.2021.11707210.1016/j.actamat.2021.117072 ↗
52. Burgers W (1934) On the process of transition of the cubic-body-centered modification into the hexagonal-close-packed modification of zirconium. Physica 1:56110.1016/S0031-8914(34)80244-3 ↗
53. Bowden HG, Kelly PM (1967) The crystallography of the pressure induced phase transformations in iron alloys. Acta Metall 15:1489. https://doi.org/10.1016/0001-6160(67)90180-010.1016/0001-6160(67)90180-0 ↗
54. Ishimatsu N, Miyashita D, Kawaguchi SI (2020) Strong variant selection observed in the α− ε martensitic transition of iron under quasihydrostatic compression along [111] α. Phys Rev B 102:05410610.1103/PhysRevB.102.054106 ↗
55. Hwang H, Galtier E, Cynn H et al (2020) Subnanosecond phase transition dynamics in laser-shocked iron. Sci Adv. https://doi.org/10.1126/sciadv.aaz513210.1126/sciadv.aaz5132 ↗
56. Jensen BJ, GTG III, RS Hixson, (2009) Direct measurements of the α-ϵ transition stress and kinetics for shocked iron. J Appl Phys 105:103502. https://doi.org/10.1063/1.311018810.1063/1.3110188 ↗
57. Kalantar DH, Collins GW, Colvin JD et al (2006) In situ diffraction measurements of lattice response due to shock loading, including direct observation of the α–ε phase transition in iron. Int J Impact Eng 33:343. https://doi.org/10.1016/j.ijimpeng.2006.09.05010.1016/j.ijimpeng.2006.09.050 ↗
58. Hawreliak J, Colvin JD, Eggert JH et al (2006) Analysis of the x-ray diffraction signal for the $\ensuremath{\alpha}\text{\ensuremath{-}}ϵ$ transition in shock-compressed iron: simulation and experiment. Phys Rev B 74:184107. https://doi.org/10.1103/PhysRevB.74.18410710.1103/PhysRevB.74.184107 ↗
59. Crowhurst JC, Reed BW, Armstrong MR et al (2014) The α→ϵ phase transition in iron at strain rates up to ∼109 s−1. J Appl Phys 115:113506. https://doi.org/10.1063/1.486867610.1063/1.4868676 ↗
60. Wang K, Chen J, Zhang X, Zhu W (2017) Interactions between coherent twin boundaries and phase transition of iron under dynamic loading and unloading. J Appl Phys 122:10510710.1063/1.4997320 ↗
61. Mishra A, Lind J, Kumar M, Dongare AM (2021) Understanding the phase transformation mechanisms that affect the dynamic response of Fe-based microstructures at the atomic scales. J Appl Phys 130:215902. https://doi.org/10.1063/5.006993510.1063/5.0069935 ↗
62. Amadou N, De Resseguier T, Dragon A, Brambrink E (2020) Effects of orientation, lattice defects and temperature on plasticity and phase transition in ramp-compressed single crystal iron. Comput Mater Sci. https://doi.org/10.1016/j.commatsci.2019.10931810.1016/j.commatsci.2019.109318 ↗
63. Chen J, Hahn EN, Dongare AM, Fensin SJ (2019) Understanding and predicting damage and failure at grain boundaries in BCC Ta. J Appl Phys 126:165902. https://doi.org/10.1063/1.511183710.1063/1.5111837 ↗
64. Plimpton S (1995) Fast parallel algorithms for short-range molecular dynamics. J Comput Phys 117:1. https://doi.org/10.1006/jcph.1995.103910.1006/jcph.1995.1039 ↗
65. Gunkelmann N, Bringa EM, Kang K, Ackland GJ, Ruestes CJ, Urbassek HM (2012) Polycrystalline iron under compression: plasticity and phase transitions. Phys Rev B. https://doi.org/10.1103/PhysRevB.86.14411110.1103/PhysRevB.86.144111 ↗
66. Mishra A, Kunka C, Echeverria MJ, Dingreville R, Dongare AM (2021) Fingerprinting shock-induced deformations via diffraction. Sci Rep 11:9872. https://doi.org/10.1038/s41598-021-88908-y10.1038/s41598-021-88908-y ↗
67. Avanish Mishra MJ, Echeverria KM et al (2022) Virtual texture analysis to investigate the deformation mechanisms in metal microstructures at the atomic-scale. J Mater Sci. https://doi.org/10.1007/s10853-022-07108-910.1007/s10853-022-07108-9 ↗
68. Stukowski A (2010) Visualization and analysis of atomistic simulation data with OVITO–the Open Visualization Tool. Modell Simul Mater Sci Eng. https://doi.org/10.1088/0965-0393/18/1/01501210.1088/0965-0393/18/1/015012 ↗
69. Honeycutt JD, Andersen HC (1987) Molecular dynamics study of melting and freezing of small Lennard-Jones clusters. J Phys Chem 91:495010.1021/j100303a014 ↗
70. Kelchner CL, Plimpton SJ, Hamilton JC (1998) Dislocation nucleation and defect structure during surface indentation. Phys Rev B 58:11085. https://doi.org/10.1103/PhysRevB.58.1108510.1103/PhysRevB.58.11085 ↗
71. Stukowski A, Albe K (2010) Extracting dislocations and non-dislocation crystal defects from atomistic simulation data. Modell Simul Mater Sci Eng. https://doi.org/10.1088/0965-0393/18/8/08500110.1088/0965-0393/18/8/085001 ↗
72. Stukowski A, Bulatov VV, Arsenlis A (2012) Automated identification and indexing of dislocations in crystal interfaces. Modell Simul Mater Sci Eng. https://doi.org/10.1088/0965-0393/20/8/08500710.1088/0965-0393/20/8/085007 ↗
73. Larsen PM, Schmidt S, Schiøtz J (2016) Robust structural identification via polyhedral template matching. Modell Simul Mater Sci Eng. https://doi.org/10.1088/0965-0393/24/5/05500710.1088/0965-0393/24/5/055007 ↗
74. Dongare A, Rajendran A, LaMattina B, Zikry M, Brenner D (2009) Atomic scale simulations of ductile failure micromechanisms in nanocrystalline Cu at high strain rates. Phys Rev B. https://doi.org/10.1103/PhysRevB.80.10410810.1103/PhysRevB.80.104108 ↗
75. Smith RF, Eggert JH, Rudd RE, Swift DC, Bolme CA, Collins GW (2011) High strain-rate plastic flow in Al and Fe. J Appl Phys. https://doi.org/10.1063/1.367000110.1063/1.3670001 ↗