Abstract
Several general laws of deformation of an inhomogeneous elastic layered structure under the action of an indentor and the force–indentation dependence during the loading of cracked specimens are studied, and relations for the critical values of the parameters at which separation is possible are constructed.
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E. L. Kossovich, N. N. Dobryakova, S. A. Epshtein, and D. S. Belov, “Mechanical Properties of Coal Microcomponents under Continuous Indentation,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskopaemykh, No. 5, 84–91 (2016) [J.Mining Sci. (Engl. Transl.) 52 (5), 906–912 (2016)].
F. M. Borodich, S. J. Bull, and S. A. Epshtein, “Nanoindentation in Studying Mechanical Properties of HeterogeneousMaterials,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskopaemykh, No. 3, 57–63 (2016) [J.Mining Sci. (Engl. Transl.) 51 (3) 470–476 (2015)].
S. A. Epshtein, F. M. Borodich, and S. J. Bull, “Evaluation of Elastic Modulus and Hardness of Highly InhomogeneousMaterials by Nanoindentation,” J. Appl. Phys. A 119 (1), 325–335 (2015).
V. M. Alexandrov, “Stability of a Coating–Substrate System under Longitudinal Compression of the Coating,” Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 76–79 (2001) [Mech. Solids (Engl. Transl.) 36 (4), 60–63 (2001)].
R. V. Goldstein, K. V. Ustinov, and A. V. Chentsov, “Estimation of the Influence of the Substrate Compliance on the Stability Loss Stresses of the Spalled Covering,” Vych.Mekh. Sploshnykh Sred 4 (3), 48–57 (2011).
N. F. Morozov and P. E. Tovstik, “BucklingModes of a CompressedPlate on an Elastic Substrate,” Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela, No. 6, 30–36 (2012) [Mech. Solids (Engl. Transl.) 47 (6), 622–627 (2012)].
B. Cotterel and Z. Chen, “Buckling and Cracking of Thin Films on Compliant Substrates under Compression,” Int. J. Fract. 104 (2), 169–179 (2000).
H.-H. Yu and J. W. Hutchinson, “Influence of Substrate Compliance on Buckling Delamination of Thin Films,” Int. J. Fract. 113, 39–55 (2002).
V. D. Kurguzov, “Modeling of Thin Film Spall in Compression,” Vych.Mekh. Sploshnykh Sred 7 (1), 91–99 (2014).
A. O. Vatul’yan, V. V. Dudarev, and R. D. Nedin, Prestresses: Modeling and Identification (Izdat. YuFU, Rostov-on-Don, 2014) [in Russian].
V. M. Alexandrov and S. M. Mkhitaryan, Contact Problems for Bodies with Thin Coatings and Interlayers (Nauka, Moscow, 1983) [in Russian].
I. S. Astapov, N. S. Astapov, and E. L. Vasil’eva, “Quadratic Approximation of Large Displacements of a Flexible Compressed Beam,” Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela, No. 1, 133–138 (2003) [Mech. Solids (Engl. Transl.) 38 (1), 133–138 (2003)].
N. S. Astapov and V. M. Kornev, “Postbuckling Behavior of an Ideal Bar on an Elastic Foundation,” Zh. Prikl. Mekh. Tekhn. Fiz. 35 (2), 130–142 (1994) [J. Appl.Mech. Tech. Phys. (Engl. Transl.) 35 (2), 286–296 (1994)].
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Original Russian Text © A.O. Vatul’yan, E.L. Kossovich, D.K. Plotnikov, 2017, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2017, No. 4, pp. 94–100.
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Vatul’yan, A.O., Kossovich, E.L. & Plotnikov, D.K. Some specific characteristics of indentation of cracked layered structures. Mech. Solids 52, 429–434 (2017). https://doi.org/10.3103/S0025654417040094
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DOI: https://doi.org/10.3103/S0025654417040094