Abstract
Local stability of a finitely deformed solid with internal dissipation, subjected to followed type loads, has been studied by Nemat-Nasser [1], neglecting all thermal effects. On the other hand, thermoelastic stability under conservative loads was considered by Ericksen [2] and Koiter [3]. 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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Nemat-Nasser, S.: Quart. Appl. Math. 26, 119 (1968).
Ericksen, J. L.: Int. J. Solids Structures 2, 573 (1966).
Koiter, W. T.: Rept. 360, Lab. Engng. Mech., Tech. Univ. Delft, April 1967.
Koiter, W. T.: Proc. Kon. Ned. Ak. Wet. B 68, 178, 190 (1965).
Sewell, M. J.: Arch. Rat. Mech. Anal. 23, 327 (1967).
Mikhlin, S. G.: Variational Methods in Mathematical Physics, Translation, New York: Pergamon Press 1964.
Mikhlin, S. G.: The Problem of the Minimum of a Quadratic Functional, Translation, London: Holden-Day 1965.
Knops, R. J., Wilkes, E. W.: Int. J. Engng. Sci. 4, 303 (1966).
Nemat-Nasser, S., Herrmann, G.: Ing.-Arch. 35, 17 (1966).
Zubov, V. I.: Methods of A. M. Lyapunov and Their Application, Transla-tion, Groningen: P. Noordhoff 1964.
Nemat-Nasser, S., Roorda, J.: Acta Mechanica 15, 296 (1967).
Bolotin, V. Y.: Nonconservative Problems of the Theory of Elastic Stability, Translation, New York: Pergamon Press 1963.
Nemat-NASSER, S.: J. Appl. Mech. 34, 344 (1967).
Shieh, R. C., Masur, E. F.: J. Appl. Math. Phys. (ZAMP) 19, 927 (1968).
Hill, R.: J. Mech. Phys. Solids 14, 229 (1957).
Pearson, C. E.: Quart. Appl. Math. 14, 133 (1956).
Truesdell, C., Noll, W.: The Non-linear Field Theories of Mechanics, Berlin/Heidelberg/New York: Springer 1965.
Hill, R.: J. Mech. Phys. Solids 15, 371 (1967).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1971 Springer-Verlag, Berlin/Heidelberg
About this paper
Cite this paper
Nemat-Nasser, S. (1971). Thermoelastic Stability of a Finitely Deformed Solid under Nonconservative Loads. In: Leipholz, H. (eds) Instability of Continuous Systems. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65073-4_35
Download citation
DOI: https://doi.org/10.1007/978-3-642-65073-4_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-65075-8
Online ISBN: 978-3-642-65073-4
eBook Packages: Springer Book Archive