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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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