Adiabatic phase boundary propagation in a theromoelastic solid

Mathematics and Mechanics of Solids

Volumn 2, Issue 2, 1997, Pages 117-142

  Turteltaub, Sergio ^a  

^a California Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SOLID STATE PHYSICS; THERMOELASTICITY;

ADIABATIC PROCESS; RIEMANN PROBLEM;

PHASE TRANSITIONS;

EID: 0031169008     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/108128659700200202     Document Type: Article

References (10)

1. Abeyaratne, R. and Knowles, J. K.: On the driving traction acting on a surface of strain discontinuity in a continuum. Journal of the Mechanics and Physics of Solids, 38, 345-360 (1990).
2. Abeyaratne, R. and Knowles, J. K.: A continuum model of a thermoelastic solid capable of undergoing phase transitions. Journal of the Mechanics and Physics of Solids, 41, 541-571 (1993).
3. Abeyaratne, R. and Knowles, J. K.: Kinetic relations and the propagation of phase boundaries in solids. Archive for Rational Mechanics and Analysis, 114, 119-154 (1991).
4. Abeyaratne, R. and Knowles, J. K.: Dynamics of propagating phase boundaries: Adiabatic theory for thermoelastic solids. Physica D, 79, 269-288 (1994).
5. Callen, H. B.: Thermodynamics and an Introduction to Thermostatistics, 2nd ed., John Wiley, New York, 1985.
6. Christian, J. W.: The Theory of Transformations in Metals and Alloys, 2d ed., Pergamon, New York, 1981.
7. Shearer, M.: Nonuniqueness of admissible solutions of Riemann initial value problems for a system of conservation laws of mixed type. Archive for Rational Mechanics and Analysis, 93, 45-59 (1986).
8. Slemrod, M.: A limiting "viscosity" approach to the Riemann problem for materials exhibiting change of phase. Archive for Rational Mechanics and Analysis, 105, 327-365 (1989).
9. Truesdell, C.: Rational Thermodynamics, 2d ed., Springer-Verlag, New York, 1984.
10. Truskinovsky, L.: Kinks versus shocks, in Shock Induced Transitions and Phase Structures in General Media, pp. 185-229 eds., R. Fosdick, E. Dunn, and M. Slemrod, Springer-Verlag, New York, 1993.