Adiabatic processes and constraints in thermoelasticity

American Society of Mechanical Engineers, Applied Mechanics Division, AMD

Volumn 236, Issue , 1999, Pages 87-95

  Rajagopal, Kumbakonam R ^a   Srinivasa, Arun R ^a  

^a Texas AandM University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; MATHEMATICAL MODELS; PLASTIC DEFORMATION; SOLIDS; TEMPERATURE; THERMAL EXPANSION; THERMAL STRESS; THERMODYNAMICS;

ADIABATIC PROCESS; THERMOELASTIC SOLIDS; THERMOMECHANICS;

THERMOELASTICITY;

EID: 0033297190     PISSN: 01608835     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (14)

1. Adkins, C. J., 1983, "Equilibrium Thermodynamics", (2nd ed.), McGraw-Hill Book, Company. UK.
2. Caratheodory, C., 1976, "Investigations into the foundations of thermodynamics" (translated by J. Kestin from the original german "Untersuchungen uber die Grundlagen der Thermodynamik," in Math. Ann. (Berlin) 67, 355-386, 1909). In "The second law of thermodynamics" (ed. J. Kestin), pp 229-256, Dowden, Hutchinson & Ross, Inc., New York.
3. Caratheodory, C., 1976, "Investigations into the foundations of thermodynamics" (translated by J. Kestin from the original german "Untersuchungen uber die Grundlagen der Thermodynamik," in Math. Ann. (Berlin) 67, 355-386, 1909). In "The second law of thermodynamics" (ed. J. Kestin), pp 229-256, Dowden, Hutchinson & Ross, Inc., New York.
4. Cartan, H., 1966, "Formes Differentialles", Herman Press, Paris.
5. Cartan, H., 1983, "Differential Calculus", (transl. From the 1971 French edition). Kersaw Publishers, London.
6. Casey, J., and Krishnaswamy S., 1998, "A Characterization of Internally Constrained Thermoelastic Materials", Mathematics and Mechanics of Solids, 3(1), 71-89.
7. Chadwick, P., and Scott, N. C., 1992, "Linear Dynamical stability in Constrained Thermoelasticity I. Deformation-Temperature Constraints", Quarterly Journal of Mechanics and Applied Mathematics, 45(4), 125-134.
8. Chandrasekhar, S., 1961, "Hydrodynamic and Hydromagnetic stability", Oxford University Press, Oxford.
9. Flanders, H., 1989, "Differential Forms with Applications to the Physical Sciences", Dover Publications, Mineola, New York.
10. Fosdick, R. L. and Rajagopal, K. R., 1983 On the Existence of a Manifold for Temperature", Archive of Rational Mechanics and Analysis, 81(4), 317-332.
11. Green, A. E., Naghdi, P. M., and Trapp, J. A., 1970, "Thermodynamics of a Continuum with Internal Constraints", International Journal of Engineering Science, 8, 891-908.
12. Rajagopal, K. R., Ruzicka, M., and Srinivasa, A. R, 1996, "On the Oberbeck Boussinesq Approximation.", Mathematical Models and Methods in the Applied Science, 6 (8), 1157-1167.
13. Rajagopal K. R. and Srinivasa, A. R., 1998, "Mechanics of the Inelastic Behavior of Materials, Part I",. International Journal of Plasticity, 14(10/11), 945-968.
14. Scott, N. C., 1992, "Linear Dynamical Stability in Constrained Thermoelasticity II. Deformation-Entropy Constraints", Quarterly Journal of Mechanics and Applied Mathematics, 45(4), 135-146.