Thermoelastic Stability of a Finitely Deformed Solid under Nonconservative Loads
Local stability of a finitely deformed solid with internal dissipation, subjected to followed type loads, has been studied by Nemat-Nasser , neglecting all thermal effects. On the other hand, thermoelastic stability under conservative loads was considered by Ericksen  and Koiter . In the present paper, we combine the results in [1–3] to develop conditions for thermoelastic stability of solids subjected to nonconservative surface tractions. We ignore body forces, although they can easily be included.
Unable to display preview. Download preview PDF.
- 3.Koiter, W. T.: Rept. 360, Lab. Engng. Mech., Tech. Univ. Delft, April 1967.Google Scholar
- 4.Koiter, W. T.: Proc. Kon. Ned. Ak. Wet. B 68, 178, 190 (1965).Google Scholar
- 6.Mikhlin, S. G.: Variational Methods in Mathematical Physics, Translation, New York: Pergamon Press 1964.Google Scholar
- 7.Mikhlin, S. G.: The Problem of the Minimum of a Quadratic Functional, Translation, London: Holden-Day 1965.Google Scholar
- 10.Zubov, V. I.: Methods of A. M. Lyapunov and Their Application, Transla-tion, Groningen: P. Noordhoff 1964.Google Scholar
- 12.Bolotin, V. Y.: Nonconservative Problems of the Theory of Elastic Stability, Translation, New York: Pergamon Press 1963.Google Scholar
- 17.Truesdell, C., Noll, W.: The Non-linear Field Theories of Mechanics, Berlin/Heidelberg/New York: Springer 1965.Google Scholar