Автор |
Turteltaub, Sergio |
Дата выпуска |
1997 |
dc.description |
The dynamical aspects of solid-solid phase transformations are studied within the framework of the theory of thermoelasticity. A problem of the Riemann type for a one-dimensional bar undergoing an adiabatic process is analyzed. It is shown that by imposing a kinetic relation and a nucleation criterion, it is possible to single out a unique solution. This extends to the thermomechanical case results previously found in a purely mechanical context. |
Издатель |
Sage Publications |
Название |
Adiabatic Phase Boundary Propagation in a Theromoelastic Solid |
Тип |
Journal Article |
DOI |
10.1177/108128659700200202 |
Print ISSN |
1081-2865 |
Журнал |
Mathematics and Mechanics of Solids |
Том |
2 |
Первая страница |
117 |
Последняя страница |
142 |
Аффилиация |
Turteltaub, Sergio, Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125 |
Выпуск |
2 |
Библиографическая ссылка |
[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). |
Библиографическая ссылка |
[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). |
Библиографическая ссылка |
[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). |
Библиографическая ссылка |
[4] Abeyaratne, R. and Knowles, J. K.: Dynamics of propagating phase boundaries: Adiabatic theory for thermoelastic solids. Physica D, 79, 269-288 (1994). |
Библиографическая ссылка |
[5] Callen, H. B.: Thermodynamics and an Introduction to Thermostatistics, 2nd ed., John Wiley, New York, 1985. |
Библиографическая ссылка |
[6] Christian, J. W.: The Theory of Transformations in Metals and Alloys, 2d ed., Pergamon, New York, 1981. |
Библиографическая ссылка |
[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). |
Библиографическая ссылка |
[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). |
Библиографическая ссылка |
[9] Truesdell, C.: Rational Thermodynamics, 2d ed., Springer-Verlag, New York, 1984. |
Библиографическая ссылка |
[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. |