Abstract
The small-parameter method has been used with Volterra's principle to consider the axisymmetric equilibrium in a viscoelastic plate by the sequential solution of analogous topics in elasticity theory and in the expansion of elementary time functions. A study has been made of how the viscoelasticity affects the state of strain.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Yu. N. Rabotnov, Elements of Inherited Solid-Body Mechanics [in Russian], Moscow (1977).
A. S. Kosmodamianskii and V. A. Shaldyrvan, Thick Multicoupled Plates [in Russian], Kiev (1978).
O. S. Kosmodamianskii and G. M. Ivanov, The State of Stress and Strain in a Viscoelastic Multicoupled Medium [in Ukrainian], Dop. AN URSR, Ser. A, No. 9, 813–816 (1970).
A. B. Efimov and V. I. Malyi, "Approximate solutions to problems in linear viscoelasticity," Prikl. Mat. Mekh.,35, No. 1, 185–189 (1971).
A. S. Kosmodamianskii and V. I. Khrestenko, "The state of strain in a thick isotropic viscoelastic plate," Dokl. AN Ukr. SSR, Ser. A, No. 27, 20–23 (1986).
G. N. Savin, Stress Distributions Around Holes [in Russian], Kiev (1968).
Additional information
Donetsk. Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 21, pp. 116–120, 1190.
Rights and permissions
About this article
Cite this article
Khrestenko, V.I. Viscoelastic equilibrium in a thick plate having a circular cavity. J Math Sci 68, 726–729 (1994). https://doi.org/10.1007/BF01249416
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01249416