An algorithm for solving the problem of slow growth of a mode I crack with a zone of partial contact of the faces is proposed. The algorithm is based on a crack model with a cohesive zone, an iterative method of finding a solution for the elastic opening displacement, and elasto–viscoelastic analogy, which makes it possible to describe the time-dependent opening displacement in Boltzmann–Volterra form. A deformation criterion with a constant critical opening displacement and cohesive strength during quasistatic crack growth is used. The algorithm was numerically illustrated for tensile loading at infinity and two concentrated forces symmetric about the crack line that cause the crack faces to contact. When the crack propagates, the contact zone disappears and its dynamic growth begins.
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Translated from Prikladnaya Mekhanika, Vol. 53, No. 6, pp. 16–22, November–December, 2017.
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Selivanov, M.F. Slow Growth of a Crack with Contacting Faces in a Viscoelastic Body. Int Appl Mech 53, 617–622 (2017). https://doi.org/10.1007/s10778-018-0844-8
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DOI: https://doi.org/10.1007/s10778-018-0844-8