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Determination of Some Functions of the Roots of the Characteristic Equation for a Viscoelastic Transversely Isotropic Body

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Abstract

The properties of resolvent operators and a continuous fraction operator technique are used to interpret functions of the roots of the characteristic equations encountered in stress concentration problems for viscoelastic, transversely isotropic bodies.

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REFERENCES

  1. A. A. Kaminskii, Fracture of Viscoelastic Bodies with Cracks [in Russian], Kiev (1990).

  2. I. Yu. Podil'chuk, “Determination of the roots of the characteristic equation for a viscoelastic transversely isotropic body, ” Teor. Prikl. Mekh., No. 30, 92–105 (1999).

  3. S. G. Lekhnitskii, Theory of Elasticity of Anisotropic Bodies [in Russian], Moscow (1977).

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Authors and Affiliations

  1. Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev

    I. Yu. Podil'chuk

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  1. I. Yu. Podil'chuk
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Podil'chuk, I.Y. Determination of Some Functions of the Roots of the Characteristic Equation for a Viscoelastic Transversely Isotropic Body. Journal of Mathematical Sciences 103, 325–330 (2001). https://doi.org/10.1023/A:1011306127036

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  • DOI: https://doi.org/10.1023/A:1011306127036

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