journal article Jan 01, 1994

Transition to detonation in dynamic phase changes

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References
37
[1]
R. Abeyaratne & J. K. Knowles (1987), Non-elliptic Elastic Materials and the Modelling of Elastic-plastic Behavior for Finite Deformations, J. Mech. Phys. Solids 35, 343?365. 10.1016/0022-5096(87)90012-3
[2]
R. Abeyaratne & J. K. Knowles (1990), On the Driving Traction Acting on a Surface of Strain Discontinuity in a Continuum, J. Mech. Phys. Solids 38, 345?360. 10.1016/0022-5096(90)90003-m
[3]
R. Abeyaratne & J. K. Knowles (1991a), Kinetic relations and the propagation of phase boundaries in solids, Arch. Rational Mech. Anal. 114, 119?154. 10.1007/bf00375400
[4]
R. Abeyaratne & J. K. Knowles (1991b), Implications of Viscosity and Strain Gradient Effects for the Kinetics of Propagating Phase Boundaries in Solids, SIAM J. Appl. Math. 51, 1205?1221. 10.1137/0151061
[5]
R. Abeyaratne & J. K. Knowles (1992), On the Propagation of Maximally Dissipative Phase Boundaries in Solids, Quart. Appl. Math. 50, 149?172. 10.1090/qam/1146630
[6]
C. M. Dafermos (1969), The Mixed Initial-Boundary Value Problem for the Equations of Nonlinear One-Dimensional Viscoelasticity, J. Diff. Eqs. 6, 71?86. 10.1016/0022-0396(69)90118-1
[7]
C. M. Dafermos (1973), The Entropy Rate Admissibility Criterion for Solutions of Hyperbolic Conservation Laws, J. Diff. Eqs. 14, 202?212. 10.1016/0022-0396(73)90043-0
[8]
C. M. Dafermos (1985), Dissipation, Stabilization and the Second law of Thermodynamics, Thermodynamics and Constitutive Equations (ed. G. Grioli), Springer Lecture Notes in Physics 228, 44?88.
[9]
J. L. Ericksen (1975), Equilibrium of Bars, J. Elast., 5, 191?201. 10.1007/bf00126984
[10]
H.-T. Fan & M. Slemrod (1991), The Riemann Problem for Systems of Conservation Laws of Mixed Type, Shock Induced Transitions and Phase Structures in General Media (eds. R. Fosdick, E. Dunn & M. Slemrod), Springer-Verlag.
[11]
F. Förster & E. Scheil (1940), Untersuchung zeitlichen Ablaufes von Umklappvorgängen in Metallen, Z. Metallkd. 32, 165?173.
[12]
G. R. Fowles (1993), On the Evolutionary Condition for Stationary Plane Waves in Inert and reactive Substances, Shock Induced Transitions and Phase Structures in General Media, (eds. R. Fosdick, E. Dunn & M. Slemrod), 93?110, Springer-Verlag. 10.1007/978-1-4613-8348-2_5
[13]
M. Grujicic, G. B. Olson & W. S. Owen (1985), Mobility of the ? 1? ?? 1Martensitic Interface in Cu-Al-Ni: Part 1. Experimental Measurements, Metall. Trans. A 16A, 1723?1734. 10.1007/bf02670360
[14]
M. E. Gurtin & A. Struthers (1990), Multiphase Thermomechanics With Interfacial Structure, 3. Evolving Phase Boundaries in the Presence of Bulk Deformation, Arch. Rational Mech. Anal. 112, 97?160. 10.1007/bf00375667
[15]
H. Hattori (1986), The Riemann Problem for a Van-der-Waals fluid with Entropy Rate Admissibility Criterion ? Isothermal Case, Arch. Rational Mech. Anal. 92, 247?263. 10.1007/bf00254828
[16]
H. Hattori & K. Mischaikow (1991), A Dynamical System Approach to a Phase Transition Problem, J. Diff. Eqs. 94, 340?378. 10.1016/0022-0396(91)90096-r
[17]
L. Hsiao (1991), Uniqueness of Admissible Solutions of the Riemann problem for a System of Conservation Laws of Mixed Type, J. Diff. Eqs. 86, 197?233. 10.1016/0022-0396(90)90030-s
[18]
E. L. Isaacson, D. Marchesin & B. J. Plohr (1990), Transitional Waves for Conservation Laws, SIAM J. Math. Anal. 21, 837?866. 10.1137/0521047
[19]
R. D. James (1980), The Propagation of Phase Boundaries in Elastic Bars. Arch. Rational Mech. Anal. 73, 125?158. 10.1007/bf00258234
[20]
J. K. Knowles (1979), On the Dissipation Associated With Equilibrium Shocks in Finite Elasticity, J. Elast. 9, 131?158. 10.1007/bf00041322
[21]
P. D. Lax (1971), Shock Waves and Entropy, Contributions to Nonlinear Functional Analysis (ed. E. A. Zarantonello), Academic Press. 10.1016/b978-0-12-775850-3.50018-2
[22]
T.-P. Liu (1981), Admissible Solutions of Hyperbolic Conservation Laws. Amer. Math Soc. Memoirs 240.
[23]
R. Menikoff & B. J. Plohr (1989), The Riemann Problem for Fluid Flow of Real Material, Rev. Mod. Phys. 61, 75?130. 10.1103/revmodphys.61.75
[24]
Z. Nishiyama (1978), Martensitic Transformations, Academic Press.
[25]
R. Pego (1987), Phase Transitions in a One Dimensional Nonlinear Viscoelasticity: Admissibility and Stability. Arch. Rational Mech. Anal. 97, 353?394. 10.1007/bf00280411
[26]
T. J. Pence (1986), On the Emergence and Propagation of a Phase Boundary in an Elastic Bar With a Suddenly Applied End Load, J. Elast. 16, 3?42. 10.1007/bf00041064
[27]
T. J. Pence (1992), On the Mechanical Dissipation of Solutions to the Riemann Problem for Impact Involving a Two-Phase Elastic Material, Arch. Rational Mech. Anal. 117, 1?52. 10.1007/bf00375158
[28]
M. Shearer (1982), The Riemann Problem for a Class of Conservation Laws of Mixed Type, J. Diff. Eqs. 46, 426?443. 10.1016/0022-0396(82)90103-6
[29]
M. Shearer (1983), Admissibility Criteria for Shock Wave Solutions of a System of Conservation Laws of Mixed Type, Proc. Roy. Soc. Edinburgh 93, 233?244. 10.1017/s0308210500015948
[30]
M. Shearer (1986), Nonuniqueness of Admissible Solutions of Riemann Initial Value Problems for a System of Conservation Laws of Mixed Type, Arch. Rational Mech. Anal. 93, 45?59. 10.1007/bf00250844
[31]
M. Shearer & Y. Yang (1992), The Riemann Problem for a System of Conservation Laws of Mixed Type With Cubic Nonlinearity, preprint.
[32]
M. Slemrod (1983), Admissibility Criteria for Propagating Phase Boundaries in a Van der Waals Fluid, Arch. Rational Mech. Anal. 81, 301?315. 10.1007/bf00250857
[33]
L. Truskinovsky (1982), Equilibrium Interphase Boundaries, Sov. Phys. Doklady 27, 551?553 (Dokl. Akad. Nauk., SSSR 265, 306?310).
[34]
L. Truskinovsky (1987), Dynamics of Nonequilibrium Phase Boundaries in a Heat Conducting Nonlinear Elastic Medium, J. Appl. Math. Mech. (PMM) 51, 777?784. 10.1016/0021-8928(87)90140-7
[35]
L. Truskinovsky (1993a), Kinks versus Shocks, Shock Induced Transitions and Phase Structures in General Media (eds. R. Fosdick, E. Dunn & M. Slemrod), 185?229, Springer-Verlag. 10.1007/978-1-4613-8348-2_11
[36]
L. Truskinovsky (1993 b), About the Normal Growth Approximation in the Dynamical Theory of Phase Transitions, Cont. Mech. Thermodynamics. 10.1007/bf01135253
[37]
Z. Yu & P. Clapp (1989), Growth Dynamics Study of the Martensitic Transformation in Fe-30 Pct Ni Alloys: Part 1. Quantitative Measurements of Growth Velocity, Metall. Trans. A, 20A, 1601?1615. 10.1007/bf02663194
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Published
Jan 01, 1994
Vol/Issue
125(4)
Pages
375-397
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Cite This Article
Lev Truskinovsky (1994). Transition to detonation in dynamic phase changes. Archive for Rational Mechanics and Analysis, 125(4), 375-397. https://doi.org/10.1007/bf00375063
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