Abstract
We establish that a linear elastic body without a stored-energy function cannot be statically stable.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Hadamard, J.,Leçons sur la propagation des ondes et les équations de l'hydrodynamique. Hermann, Paris
Knops, R. J. and Wilkes, E. W.,Theory of elastic stability, Handbuch der Physik VI a/3, Springer Verlag 1973
Gibbs, J. W., On the equilibrium of heterogeneous substances.Trans. Connecticut Academy 3 (1875–78) 108–248, 343–524
Ericksen, J. L., A thermo-kinetic view of elastic stability theory.Int. J. Sol. and Struct. 2 (1966) 573–580
Koiter, W. T.,On the thermodynamic background of elastic stability theory. Rept. No 360 — Laboratory of Eng. Mech. Dept. of Mech. Eng., Technological University, Delft 1967
Gurtin, M. E., Thermodynamics and the potential energy of an elastic body.J. Elasticity 3 (1973) 23–26
Gurtin, M. E., Thermodynamics and the energy criterion for stability.Arch. Rational Mech. Anal. 56 (1973) 93–103
Truesdell, C. and Noll, W.,The non-linear field theories of mechanics. Handbuch der Physik III/3, Springer Verlag 1965
Gurtin, M. E.,The linear theory of elasticity. Handbuch der Physik VI a/2
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Brun, L. A statically mechanically stable elastic solid is hyperelastic. J Elasticity 6, 89–94 (1976). https://doi.org/10.1007/BF00135180
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00135180