Abstract
A linear theory of viscoelasticity of materials with voids is considered. Some theorems concerning uniqueness and continuous dependence are established.
Similar content being viewed by others
References
J.W. Nunziato and S.C. Cowin, A non linear theory of elastic materials with voids. Arch. Rat. Mech. Anal. 72 (1979) 175–201.
S.C. Cowin and J.W. Nunziato, Linear elastic materials with voids. Journal of Elasticity 13 (1983) 125–147.
S.C. Cowin, The viscoelastic behaviour of linear elastic materials with voids. Journal of Elasticity 15 (1985) 185–191.
W.A. Day, Time-reversal and the symmetry of the relaxation function of a linear viscoelastic material. Arch. Rat. Mech. Anal. 40 (1970) 155–159.
W.S. Edelstein and M.E. Gurtin, Uniqueness theorems in the linear dynamic theory of anisotropic viscoelastic solids. Arch. Rat. Mech. Anal. 17 (1964) 47–60.
G. Doetsch, Handbuch der Laplace-transformation, I, Basel, Birkhäuser (1950).
R. Quintanilla and H.T. Williams, An existence and uniqueness theorem for incremental viscoelasticity. Quart. Appl. Math. 43 (1985) 287–294.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ciarletta, M., Scalia, A. On some theorems in the linear theory of viscoelastic materials with voids. J Elasticity 25, 149–158 (1991). https://doi.org/10.1007/BF00042463
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00042463