220
C. A. Bronkhorst et al.
11. C.A. Bronkhorst, E.K. Cerreta, Q. Xue, P.J. Maudlin, T.A. Mason, G.T. Gray III, An
experimental and numerical study of the localization behavior of tantalum and stainless steel.
Int. J. Plasticity 22, 1304–1335 (2006)
12. C.A. Bronkhorst, B.L. Hansen, E.K. Cerreta, J.F. Bingert, Modeling the microstructural
evolution of metallic polycrystal materials under localization conditions. J. Mech. Phys. Solids
55, 2351–2383 (2007)
13. E.P. Busso, Cyclic deformation of monocrystalline nickel aluminide and high temperature
coatings, Ph.D. Thesis, MIT, 1990
14. E.P. Busso, F.A. McClintock, A dislocation mechanics-based crystallographic model of a B2type intermetallic alloy. Int. J. Plasticity 12, 1–28 (1996)
15. S.R. Chen, G.T. Gray III, Constitutive behavior of tantalum and tantalum-tungsten alloys. Met.
Mat. Trans. A 27A, 2994–3006 (1996)
16. H. Cho, C.A. Bronkhorst, H.M. Mourad, J.R. Mayeur, D.J. Luscher, Anomalous plasticity of
body-centered-cubic crystals with non-Schmid effects. Int. J. Solids Struct. 139–140, 138–149
(2018)
17. Dream.3D version 4.2, BlueQuartz Software, Springboro OH, USA, 2013
18. P.S. Follansbee, U.F. Kocks, A constitutive description of the deformation of copper based on
the use of the mechanical threshold stress as an internal state variable. Acta Metall. 36, 81–93
(1988)
19. G.T. Gray III, Shock wave testing of ductile materials, in ASM Handbook, (ASM International,
Materials Park, 2000)
20. G.T. Gray III, High-strain-rate deformation: mechanical behavior and deformation substructures induced. Annu. Rev. Mater. Res. 42, 285–303 (2012)
21. G.T. Gray III, K.S. Vecchio, Influence of peak pressure and temperature on the structure/property response of shock-loaded Ta and Ta-10W. Met. Mat. Trans. A 26, 2555–2563
(1995)
22. G.T. Gray III, N.K. Bourne, J.C.F. Millett, Shock response of tantalum: Lateral stress and shear
strength through the front. J. Appl. Phys. 94, 6430–6436 (2003)
23. G.T. Gray III, N.K. Bourne, K.S. Vecchio, J.C.F. Millett, Influence of anisotropy (crystallographic and microstructural) on spallation in Zr, Ta, HY-100 steel, and 1080 eutectoid steel.
Int. J. Fract. 163, 243–258 (2010)
24. G.T. Gray III, N.K. Bourne, V. Livescu, C.P. Trujillo, S. MacDonald, P. Withers. The influence
of shock-loading path on the spallation response of Ta. in Proceedings of APS Topical Group
of Shock Compression of Condensed Matter, Seattle, 7–12 July 2013
25. M. Groeber, S. Ghosh, M.D. Uchic, D.M. Dimiduk, A framework for automated analysis and
simulation of 3D polycrystalline microstructures. Part 2: Synthetic structure generation. Acta
Mat. 56, 1274–1287 (2008)
26. A.L. Gurson, Continuum theory of ductile rupture by void nucleation and growth: Part 1 –
Yield criteria and flow rules for porous ductile media. J. Eng. Mat. Tech. 99, 2–15 (1977)
27. M.E. Gurtin, On the plasticity of single crystals: free energy, microforces, plastic-strain
gradients. J. Mech. Phys. Solids 48, 989–1036 (2000)
28. M.E. Gurtin, E. Fried, L. Anand, The Mechanics and Thermodynamics of Continua (Cambridge University Press, Cambridge, 2010)
29. J.W. Hancock, A.C. Mackenzie, On the mechanisms of ductile failure in high-strength steels
subjected to multi-axial stress-states. J. Mech. Phys. Solids 24, 147–169 (1976)
30. G.R. Johnson, S.R. Beissel, C.A. Gerlach, R.A. Stryk, T.J. Holmquist, A.A. Johnson, S.E.
Ray, J.J. Arata, User Instructions for the 2006 Version of the EPIC Code (Network Computing
Services Inc., Minneapolis, 2006)
31. J.N. Johnson, Dynamic fracture and spallation in ductile solids. J. Appl. Phys. 52, 2812 (1981)
32. J.N. Johnson, F.L. Addessio, Tensile plasticity and ductile fracture. J. Appl. Phys. 64, 6699
(1988)
33. J.N. Johnson, G.T. Gray III, N.K. Bourne, Effect of pulse duration and strain rate on incipient
spall fracture in copper. J. Appl. Phys. 86, 4892 (1999)
C. A. Bronkhorst et al.
11. C.A. Bronkhorst, E.K. Cerreta, Q. Xue, P.J. Maudlin, T.A. Mason, G.T. Gray III, An
experimental and numerical study of the localization behavior of tantalum and stainless steel.
Int. J. Plasticity 22, 1304–1335 (2006)
12. C.A. Bronkhorst, B.L. Hansen, E.K. Cerreta, J.F. Bingert, Modeling the microstructural
evolution of metallic polycrystal materials under localization conditions. J. Mech. Phys. Solids
55, 2351–2383 (2007)
13. E.P. Busso, Cyclic deformation of monocrystalline nickel aluminide and high temperature
coatings, Ph.D. Thesis, MIT, 1990
14. E.P. Busso, F.A. McClintock, A dislocation mechanics-based crystallographic model of a B2type intermetallic alloy. Int. J. Plasticity 12, 1–28 (1996)
15. S.R. Chen, G.T. Gray III, Constitutive behavior of tantalum and tantalum-tungsten alloys. Met.
Mat. Trans. A 27A, 2994–3006 (1996)
16. H. Cho, C.A. Bronkhorst, H.M. Mourad, J.R. Mayeur, D.J. Luscher, Anomalous plasticity of
body-centered-cubic crystals with non-Schmid effects. Int. J. Solids Struct. 139–140, 138–149
(2018)
17. Dream.3D version 4.2, BlueQuartz Software, Springboro OH, USA, 2013
18. P.S. Follansbee, U.F. Kocks, A constitutive description of the deformation of copper based on
the use of the mechanical threshold stress as an internal state variable. Acta Metall. 36, 81–93
(1988)
19. G.T. Gray III, Shock wave testing of ductile materials, in ASM Handbook, (ASM International,
Materials Park, 2000)
20. G.T. Gray III, High-strain-rate deformation: mechanical behavior and deformation substructures induced. Annu. Rev. Mater. Res. 42, 285–303 (2012)
21. G.T. Gray III, K.S. Vecchio, Influence of peak pressure and temperature on the structure/property response of shock-loaded Ta and Ta-10W. Met. Mat. Trans. A 26, 2555–2563
(1995)
22. G.T. Gray III, N.K. Bourne, J.C.F. Millett, Shock response of tantalum: Lateral stress and shear
strength through the front. J. Appl. Phys. 94, 6430–6436 (2003)
23. G.T. Gray III, N.K. Bourne, K.S. Vecchio, J.C.F. Millett, Influence of anisotropy (crystallographic and microstructural) on spallation in Zr, Ta, HY-100 steel, and 1080 eutectoid steel.
Int. J. Fract. 163, 243–258 (2010)
24. G.T. Gray III, N.K. Bourne, V. Livescu, C.P. Trujillo, S. MacDonald, P. Withers. The influence
of shock-loading path on the spallation response of Ta. in Proceedings of APS Topical Group
of Shock Compression of Condensed Matter, Seattle, 7–12 July 2013
25. M. Groeber, S. Ghosh, M.D. Uchic, D.M. Dimiduk, A framework for automated analysis and
simulation of 3D polycrystalline microstructures. Part 2: Synthetic structure generation. Acta
Mat. 56, 1274–1287 (2008)
26. A.L. Gurson, Continuum theory of ductile rupture by void nucleation and growth: Part 1 –
Yield criteria and flow rules for porous ductile media. J. Eng. Mat. Tech. 99, 2–15 (1977)
27. M.E. Gurtin, On the plasticity of single crystals: free energy, microforces, plastic-strain
gradients. J. Mech. Phys. Solids 48, 989–1036 (2000)
28. M.E. Gurtin, E. Fried, L. Anand, The Mechanics and Thermodynamics of Continua (Cambridge University Press, Cambridge, 2010)
29. J.W. Hancock, A.C. Mackenzie, On the mechanisms of ductile failure in high-strength steels
subjected to multi-axial stress-states. J. Mech. Phys. Solids 24, 147–169 (1976)
30. G.R. Johnson, S.R. Beissel, C.A. Gerlach, R.A. Stryk, T.J. Holmquist, A.A. Johnson, S.E.
Ray, J.J. Arata, User Instructions for the 2006 Version of the EPIC Code (Network Computing
Services Inc., Minneapolis, 2006)
31. J.N. Johnson, Dynamic fracture and spallation in ductile solids. J. Appl. Phys. 52, 2812 (1981)
32. J.N. Johnson, F.L. Addessio, Tensile plasticity and ductile fracture. J. Appl. Phys. 64, 6699
(1988)
33. J.N. Johnson, G.T. Gray III, N.K. Bourne, Effect of pulse duration and strain rate on incipient
spall fracture in copper. J. Appl. Phys. 86, 4892 (1999)