Abstract
The paper is concerned with some underlying physical considerations which bear on the development of restrictions on the strain-energy function for an elastic material which may undergo finite deformations. Some comments are also made on the possible use of the strain-energy function at deformations for which a necessary condition for material stability is violated.
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
B. D. Coleman and W. Noll, Arch. Rat’l Mech. Anal. 3 (1959), 289.
C. A. Truesdell and R. A. Toupin, Arch. Rat’l Mech. Anal. 12 (1963), 1.
R. S. Rivlin, Phil. Trans. Roy. Soc. A 240 (1948), 459.
R. S. Rivlin, Q. Applied Math. 32 (1974), 265.
C. A. Truesdell and W. Noll, The Non-Linear Field Theories of Mechanics, Handbuch d. Physk. 3/3 (1965).
W. A. Wooster and N. Wooster, Nature 157 (1946), 405.
W. A. Wooster, Nature 159 (1947), 94.
L. A. Thomas and W. A. Wooster, Proc. Roy. Soc. A 208 (1951), 208.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1981 Martinus Nijhoff Publishers, The Hague/Boston/London
About this paper
Cite this paper
Rivlin, R.S. (1981). Some Thoughts on Material Stability. In: Carlson, D.E., Shield, R.T. (eds) Proceedings of the IUTAM Symposium on Finite Elasticity. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7538-5_5
Download citation
DOI: https://doi.org/10.1007/978-94-009-7538-5_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-7540-8
Online ISBN: 978-94-009-7538-5
eBook Packages: Springer Book Archive