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Studies of Subcritical Crack Growth in Viscoelastic Anisotropic Bodies Using the Continued Fraction Operator Method: Synthesis and Summary*

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International Applied Mechanics Aims and scope

A technique of solving problems of linear viscoelasticity is presented. Some basics are given on the application of continued fractions to solve some problems for viscoelastic anisotropic bodies with slowly growing cracks. It is shown, using examples, that the operator continued fraction technique can be effectively used for solving complex problems of fracture mechanics for modern anisotropic composite materials.

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Authors and Affiliations

  1. S.P. Timoshenko Institute of Mechanics, National Academy of Sciences, 3 Nesterova St., Kyiv, 03057, Ukraine

    A. O. Kaminsky

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  1. A. O. Kaminsky
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Correspondence to A. O. Kaminsky.

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*This study was sponsored by the budget program “Support for Priority Areas of Scientific Research” (KPKVK 6541230).

Published in Prikladnaya Mekhanika, Vol. 57, No. 3, pp. 18–35, May–June 2021.

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Kaminsky, A.O. Studies of Subcritical Crack Growth in Viscoelastic Anisotropic Bodies Using the Continued Fraction Operator Method: Synthesis and Summary*. Int Appl Mech 57, 263–281 (2021). https://doi.org/10.1007/s10778-021-01078-2

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