| Автор | Leslie, D., J. |
| Автор | Scorr, N., H. |
| Дата выпуска | 1998 |
| dc.description | This article is concerned with longitudinal wave propagation in an isotropic thermoelastic material that is nearly incompressible at either uniform temperature or uniform entropy. A dimensionless effective bulk modulus X is defined such that X-+ oo corresponds to incompressibility at uniform temperature. For 0 < X < 1, both longitudinal waves are stable, but for X > 1, one is stable and the other unstable. If X = 1, there is only one propagating mode, and this is stable. Another dimensionless effective bulk modulus X is defined such that X -+ oo corresponds to incompressibility at uniform entropy. For 0 < X < oo, both longitudinal waves are stable. Making the identification X = x/(1-X), among others, enables the equivalence of the two types of near constraint to be demonstrated. In particular, X -* oo corresponds to-+ 1-, so that incompressibility at uniform entropy corresponds to near incompressibility at constant temperature. Many graphical results are presented to illustrate various points of theory. |
| Издатель | Sage Publications |
| Название | Near Incompressibility at Uniform Temperature or Entropy in Isotropic Thermoelasticity |
| Тип | Journal Article |
| DOI | 10.1177/108128659800300301 |
| Print ISSN | 1081-2865 |
| Журнал | Mathematics and Mechanics of Solids |
| Том | 3 |
| Первая страница | 243 |
| Последняя страница | 275 |
| Аффилиация | Scorr, N., H., School of Mathematics, University of East Anglia, Norwich NR4 7TJ, U.K. |
| Выпуск | 3 |
| Библиографическая ссылка | [1] Truesdell, C. and Noll,W.: The Non-Linear Field Theoriesof Mechanics. Handbuchder Physik, 1113, Springer-Verlag, New York, 1965. |
| Библиографическая ссылка | [2] Green, A. E., Naghdi, P. M., and Trapp, J. A.: Thermodynamics of a continuum with internal constraints. International Journal of Engineering Science, 8, 891-908 (1970). |
| Библиографическая ссылка | [3] Gurtin, M. E. and Podio Guidugli, P.: The thermodynamics of constrained materials. Archivefor Rational Mechanics and Analysis, 51, 192-208 (1973). |
| Библиографическая ссылка | [4] Casey, J. and Krishanaswamy, S.: On constrained thernoelastic materials, in Contemporary Research in Mechanics and Mathematics of Materials, pp. 359-371, eds., R. C. Batra and M. F. Beatty, CIMNE, 1996. |
| Библиографическая ссылка | [5] Casey, J.: A treatment of internally constrained materials. Journal of Applied Mechanics, 62, 542-544 (1995) and 63-63, 240-240, (1996). |
| Библиографическая ссылка | [6] Chadwick, P.: Interchange of modal properties in the propagation of harmonic waves in heat-conducting materials. Bulletin of the Australian Mathematical Society, 8, 75-92 (1973). |
| Библиографическая ссылка | [7] Chadwick, P.: Basic properties of plane harmonic waves in a prestressed heat-conducting elastic material. Journal of Thermal Stresses, 2, 193-214 (1979). |
| Библиографическая ссылка | [8] Scott, N. H.: A theorem in thermoelasticity and its application to linear stability. Proceedings of the Royal Society of London, Series A, 424, 143-153 (1989). |
| Библиографическая ссылка | [9] Manacorda, T.: Onde elementari nella termoelasticita di solidi incomprimibili. Atti dell'Accademia delle scienze, Torino, 101, 503-509 (1967). |
| Библиографическая ссылка | [10] Beevers, C. E.: Finite waves in thermoelasticity. PhlE. thesis, University of Manchester, 1969. |
| Библиографическая ссылка | [11] Chadwick, P. and Scott, N. H.: Linear dynamical stability in constrained thermoelasticity: I. Deformation-temperature constraints. Quarterly Journal of Mechanics and Applied Mathematics, 45, 641-650 (1992). |
| Библиографическая ссылка | [12] Scott, N. H.: Linear dynamical stability in constrained thermoelasticity: II. Deformation-entropy constraints. Quarterly Journal of Mechanics and Applied Mathematics, 45, 651-662 (1992). |
| Библиографическая ссылка | [13] Scott, N. H.: Connections between deformation-temperature and deformation-entropy constraints and nearconstraints in thermoelasticity. International Journal of Engineering Science, 34, 1689-1704 (1996). |
| Библиографическая ссылка | [14] Leslie, D. J. and Scott, N. H.: Incompressibility at uniform temperature or entropy in isotropic thermoelasticity. Quarterly Journal of Mechanics and Applied Mathematics, 51, 191-211 (1998). |
| Библиографическая ссылка | [15] Leslie, D. J. and Scott, N. H.: Thermoelastic wave stability in the presence of thermomechanical constraints, in Proceedings of the 3rd International Conference on Nonlinear Mechanics, eds., Chien Wei-zang and Cheng Changjun, Shanghai Press, Shanghai, 270-276, 1998. |
| Библиографическая ссылка | [16] Alts, T.: The principle of determinism and thermodynamics of simple fluids with thermo-kinematic constraints. Journal of Non-Equilibrium Thermodynamics, 10, 145-162 (1985). |
