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Model of growth and coalescence of two collinear cracks in a viscoelastic body

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For the plane problem of linear viscoelasticity, a model of propagation and coalescence of two collinear cracks is proposed. We have constructed the model within the framework of the theory of propagation of cracks in a viscoelastic environment. As an illustration of using the model, we have obtained time dependences of the coordinates of the ends of the cracks for a wide range of parameters of the model, among which are geometric parameters of the problem, intensity of internal load, and crack-resistance parameters.

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Authors and Affiliations

  1. Tymoshenko Institute of Mechanics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    A. О. Kamins’kyi, M. F. Selivanov & Yu. O. Chornoivan

Authors
  1. A. О. Kamins’kyi
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  2. M. F. Selivanov
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  3. Yu. O. Chornoivan
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Additional information

Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 55, No. 1, pp. 61–71, January–March, 2012.

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Kamins’kyi, A.О., Selivanov, M.F. & Chornoivan, Y.O. Model of growth and coalescence of two collinear cracks in a viscoelastic body. J Math Sci 190, 697–709 (2013). https://doi.org/10.1007/s10958-013-1281-1

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  • DOI: https://doi.org/10.1007/s10958-013-1281-1

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