An analysis is carried out and a choice between two continual theories of adhesive interactions which can be used for modeling cracks on the contact surface of phases in fibrous composites is made. It is shown that, within the frameworks of the adhesion theories — the Gurtin–Murdoch surface elasticity theory and the Belov–Lurie theory of ideal adhesion — the statements of boundary problems for shear (Mode II) and tear cracks (Mode III) are identical, but for the cracks of normal separation (Mode I), the adhesive properties can be taken into account only in the theory of ideal adhesion.
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Some results of the present paper have been obtained within the framework of the studies according to the Agreement on granting No. 14.577.21.0023 with the Ministry of Education and Sciences of the Russian Federation. The identifier of applied scientific investigations (of the project) [No.] RFMEFI57714X0023.
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Translated from Mekhanika Kompozitnykh Materialov, Vol. 51, No. 6, pp. 1061-1068, November-December, 2015.
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Belov, P.A., Nelub, V.A. Choice of the Theory of Adhesive Interactions for Modeling Interlayer Cracks in Composites. Mech Compos Mater 51, 745–750 (2016). https://doi.org/10.1007/s11029-016-9545-8
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DOI: https://doi.org/10.1007/s11029-016-9545-8