Theoretical analysis of the shock-induced phase transition in iron

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We have studied the metastability and dynamics of the shock-induced {alpha} + {epsilon} phase transition in iron. Regarding metastability, it has long been known that the experimental Hugoniot does not agree with the theoretical equilibrium Hugoniot in the two-phase region above 13 GPa. We present a physically based construction of the metastable phase transition surface, and show that this surface is essentially the same in shocks as in quasistatic diamond-cell experiments. Regarding dynamics, we first establish the correct irreversible thermodynamic basis for linear relaxation, then compare numerical wave propagation calculations with VISAR measurements of wave profiles. The phase transition relaxation ... continued below

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15 p.

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Wallace, D. & Boettger, J. November 1, 1997.

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We have studied the metastability and dynamics of the shock-induced {alpha} + {epsilon} phase transition in iron. Regarding metastability, it has long been known that the experimental Hugoniot does not agree with the theoretical equilibrium Hugoniot in the two-phase region above 13 GPa. We present a physically based construction of the metastable phase transition surface, and show that this surface is essentially the same in shocks as in quasistatic diamond-cell experiments. Regarding dynamics, we first establish the correct irreversible thermodynamic basis for linear relaxation, then compare numerical wave propagation calculations with VISAR measurements of wave profiles. The phase transition relaxation time is found to depend weakly on sample thickness, implying some nonlinear relaxation must be present. This work provides two new insights in the theory of solid-solid phase transitions: (a) the metastable transition surface is given by a function of the (nonzero) difference in Gibbs energies of the two phases, and (b) the dynamics of the transition is expressed by relaxation toward the metastable surface, not toward equilibrium.

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15 p.

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OSTI as DE98000803

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  • International workshop on new models and numerical codes for shock wave processes in condensed media, Oxford (United Kingdom), 15-19 Sep 1997

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  • Other: DE98000803
  • Report No.: LA-UR--97-2892
  • Report No.: CONF-9709108--
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 543681
  • Archival Resource Key: ark:/67531/metadc693011

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  • November 1, 1997

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  • Aug. 14, 2015, 8:43 a.m.

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  • Feb. 26, 2016, 6:42 p.m.

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Wallace, D. & Boettger, J. Theoretical analysis of the shock-induced phase transition in iron, article, November 1, 1997; New Mexico. (digital.library.unt.edu/ark:/67531/metadc693011/: accessed November 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.