Abstract
The stress redistribution over time in a viscoelastic transversally isotropic hyperboloid of revolution is studied. The material has the property of slipping creep in the planes perpendicular to the isotropy plane. The body is subjected to uniaxial tension. An analytical solution is obtained on the basis of the Boltzmann-Volterra principle and the operator chain-fraction method. In calculating the stress concentration in the hyperboloidal body, the properties of the material are described by integral operators with a Rabotnov kernel.
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References
A. A. Kaminskii,Failure of Viscoelastic Bodies with Cracks [in Russian], Naukova Dumka, Kiev (1990).
A. A. Kaminskii and D. A. Gavrilov,Long-Term Failure of Polymer and Composite Materials with Cracks [in Russian], Naukova Dumka, Kiev (1992).
A. A. Kaminskii and S. A. Kekukh, “Method of solving linear viscoelastic problems for anisotropic materials (taking account of cracks),”Prikl. Mekh.,30, No. 4, 82–91 (1994).
A. A. Kaminskii and I. Yu. Podil'chuk, “Method of solving boundary problems of linear viscoelasticity theory (operator chain-fraction method,”Prikl. Mekh.,34, No. 12, 77–85 (1998).
Yu. N. Rabotnov,Elements of the Hereditary Mechanics of Solids [in Russian], Nauka, Moscow (1977).
V. Chen, “Stress concentrations close to hyperboloidal recess in transversally isotropic body under tension,”Prikl. Mekh.,7, No. 1, 82–91 (1971).
Additional information
S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 35, No. 3, pp. 33–41, March, 1999.
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Podil'chuk, I.Y. Stress concentration in viscoelastic transversally isotropic hyperboloid. Int Appl Mech 35, 245–254 (1999). https://doi.org/10.1007/BF02682119
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DOI: https://doi.org/10.1007/BF02682119