Abstract
In this paper we derive a number of a priori estimates for classical solutions of the system of linear elastodynamics, and we prove an analogue of the classical domain of influence theorem for a class of unbounded elastic bodies that may stiffen at infinity.
Similar content being viewed by others
References
M.E. Gurtin, The linear theory of elasticity, Handbuch der Physik, Vol. VIa/2, Berlin-Heidelberg-New York, Springer-Verlag, 1971.
B. Carbonaro and R. Russo, On the work and energy theorem for unbounded elastic bodies. J. Elasticity, in press.
R. Russo, Sulla conservazione dell'energia e sul decadimento delle soluzioni dell'elastodinamica lineare. Atti VI Congresso A.I.M.E.T.A, Genova, 7–9 ottobre 1982.
B. Carbonaro and R. Russo, Sull'estendibilità di alcuni classici teoremi dell'elastodinamica lineare. Atti VI Congresso A.I.M.E.T.A., Genova 7–9 ottobre 1982.
R. Russo, On the elastic stability in unbounded domains. To appear.
B. Carbonaro and R. Russo, On the existence in classical elastodynamics. To appear.
J.E. Marsden and J.R. Hughes, Classical elastodynamics as a linear symmetric hyperbolic system, J. Elasticity 8 (1978) 97–110.
V.D. Kuprad'ze, Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity. North-Holland (1979).
C.H. Wilcox, Initial-boundary value problems for linear hyperbolic partial differential equations of the second order, Arch. Rational Mech. Anal., 10 (1962) 361–400.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Carbonaro, B., Russo, R. Energy inequalities and the domain of influence theorem in classical elastodynamics. J Elasticity 14, 163–174 (1984). https://doi.org/10.1007/BF00041663
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00041663