Equation of state of the alpha and epsilon phases of iron

Andrews, Dudley J.

doi:10.1016/0038-1098(72)90798-3

Cited by 12 publications

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“…A satisfactory fit to the enthalpy and entropy could not be obtained without including a magnetic term. We have used Andrews' expression for the magnetic contribution to the heat capacity of alpha-phase iron [48], written in the following form.…”

Section: Nickelmentioning

confidence: 99%

Equations of state for Be, Ni, W, and Au.

Kerley¹

2003

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The PANDA code is used to construct tabular equations of state (EOS) for four metals-beryllium, nickel, tungsten and gold. Each EOS includes melting, vaporization, and thermal electronic excitation. Separate EOS tables are constructed for the solid and fluid phases, and the PANDA phase transition model is used to construct a multiphase EOS table for each metal. These new EOS tables are available for use with the CTH code and other hydrocodes that access the CTH database.

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Section: Nickelmentioning

confidence: 99%

Equations of state for Be, Ni, W, and Au.

Kerley¹

2003

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“…Andrews [28,29] calculated the equilibrium Hugoniot for iron as shown in Fig. 8.5 and found that it differs from the actual Hugoniot data between 130 and 300 kbar.…”

Section: Fast Reversible Phase Transition In Ironmentioning

confidence: 95%

“…Andrew's rate law [28] is similar to Horie and Duvalls [14] except it does not rely on the equilibrium mass fraction but depends on G 2 -G 1 or G 21 and it is at constant v and U S .…”

Section: Vðp; T:aþmentioning

confidence: 99%

First-Order Polymorphic and Melting Phase Transitions Under Shock Loading

Forbes

2012

Shock Wave Compression of Condensed Matter

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Some materials at high pressure have structural arrangements of atoms and molecules that are at a lower energy state than that at (P ¼ 0, v o , T-293 K) conditions. When this occurs a thermodynamic force on the material exists to change the configuration to the new one. This process is called a first-order phase transition that is characterized by the coexistence of several thermodynamic phases. It is well established that condensed matter can also undergo thermodynamic second order phase transitions in electric and magnetic properties that are not treated in this book. Readers interested in second order phase transitions seen in dynamic experiments consult the literature especially the articles by Keeler and Royce [1].Static studies of phase transitions provide the baseline for understanding many phase transitions. They can show if the mixed phase region is in thermodynamic equilibrium or in a metastable state. Inferring phase transformations under dynamic loading from experimental static data is very useful. The first order guess of the phase seen in dynamic experiments will be the same as observed in static experiments but this needs to be verified in real-time dynamic experiments. One must keep in mind that under dynamic loading, phases other than that seen in static experiments are a possibility. This was seen in a recent study of shocked polycrystalline iron [2] where fcc phases occurred in certain oriented crystal grains. Note that this shock study using intense x-rays directly confirmed experimentally the majority of the iron transition was martensitic in nature, which agrees with static studies.The kinetics of the transformation determines whether a new configuration occurs under shock loading. If the transformation takes many microseconds to occur it will not be seen in standard shock wave experiments and the material will be put into a thermodynamic metastable state. Since dynamic loading is different than static compression some transitions that require cooperative lattice motion can be accelerated due to the shear in a shock wave. This is what happens in the body center cubic (bcc or a) to hexagonal closed packed (hcp or ɛ) lattice transition in iron [3] at 130 kbar. Keep in mind that due to creation of defects,

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“…Later sections will assume g/v is constant so analytical expressions can be obtained for the thermodynamic paths. Two examples of fundamental developed relationships are iron's a phase by Andrews [11] and nitromethane's by Winey et al [12] Their exists extensive data on iron and nitromethane. In nitromethane's case it is one of very few materials where shock temperature can be measured because it has a Raman spectra [12,13].…”

Section: Thermodynamic Consistent Surfacementioning

confidence: 98%

Thermodynamics of Shock Waves

Forbes

2012

Shock Wave Compression of Condensed Matter

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Equation of state of the alpha and epsilon phases of iron

Cited by 12 publications

References 0 publications

Equations of state for Be, Ni, W, and Au.

Equations of state for Be, Ni, W, and Au.

First-Order Polymorphic and Melting Phase Transitions Under Shock Loading

Thermodynamics of Shock Waves

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