Near incompressibility at uniform temperature or entropy in isotropic thermoelasticity

Mathematics and Mechanics of Solids

Volumn 3, Issue 3, 1998, Pages 243-275

  Leslie, D J ^a   Scott, N H ^a  

^a UNIVERSITY OF EAST ANGLIA   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBILITY; ELASTIC MODULI; ENTROPY; WAVE TRANSMISSION;

ISOTROPIC THERMOELASTICITY;

THERMOELASTICITY;

EID: 0032164369     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/108128659800300301     Document Type: Article

References (17)

1. Truesdell, C. and Noll, W.: The Non-Linear Field Theories of Mechanics. Handbuch der Physik, III/3, Springer-Verlag, New York, 1965.
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).
3. Gurtin, M. E. and Podio Guidugli, P.: The thermodynamics of constrained materials. Archive for Rational Mechanics and Analysis, 51, 192-208 (1973).
4. Casey, J. and Krishanaswamy, S.: On constrained thermoelastic materials, in Contemporary Research in Mechanics and Mathematics of Materials, pp. 359-371, eds., R. C. Batra and M. F. Beatty, CIMNE, 1996.
5. Casey, J.: A treatment of internally constrained materials. Journal of Applied Mechanics, 62, 542-544 (1995) and 63, 240, (1996).
6. Casey, J.: A treatment of internally constrained materials. Journal of Applied Mechanics, 62, 542-544 (1995) and 63, 240, (1996).
7. 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).
8. Chadwick, P.: Basic properties of plane harmonic waves in a prestressed heat-conducting elastic material. Journal of Thermal Stresses, 2, 193-214 (1979).
9. 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).
10. Manacorda, T.: Onde elementari nella termoelasticità di solidi incomprimibili. Atti dell'Accademia delle scienze, Torino, 101, 503-509 (1967).
11. Beevers, C. E.: Finite waves in thermoelasticity. Ph.D. thesis, University of Manchester, 1969.
12. 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).
13. Scott, N. H.: Linear dynamical stability in constrained thermoelasticity: II. Deformation-entropy constraints. Quarterly Journal of Mechanics and Applied Mathematics, 45, 651-662 (1992).
14. Scott, N. H.: Connections between deformation-temperature and deformation-entropy constraints and near-constraints in thermoelasticity. International Journal of Engineering Science, 34, 1689-1704 (1996).
15. 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).
16. 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.
17. Alts, T.: The principle of determinism and thermodynamics of simple fluids with thermo-kinematic constraints. Journal of Non-Equilibrium Thermodynamics, 10, 145-162 (1985).