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Delamination of a Coating from an Elastic Substrate

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

Known models were used to investigate the delamination of a pre-compressed coating from an elastic substrate, to study in detail the corresponding transcendental equation, prove the existence of a solution in a certain range of parameters, and obtain simple formulas for the critical value The post-buckling behavior of the coating was studied using linearization and the Ritz method It was proposed to simplify the problem by solving the problem for a beam with Winkler type boundary conditions in the delamination region, and an assessment of this simplification was made.

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References

  1. J. W. Hutchinson and Z. Suo, “Mixed Mode Cracking in Layered Materials,” Adv. Appl. Mech 29, 63–191 (1992).

    Article  Google Scholar 

  2. B. Cotterell and Z. Chen, “Buckling and Cracking of Thin Films on Compliant Substrates under Compression,” Int. J. Fracture 104 (2), 169–179 (2000).

    Article  Google Scholar 

  3. H.-H. Yu and J. W. Hutchinson, “Influence of Substrate Compliance on Buckling Delamination of Thin Films,” Int. J. Fracture 113, 39–55 (2002).

    Article  Google Scholar 

  4. G. Parry, J. Colin, C. Coupeau, et al., “Effect of Substrate Compliance on the Global Unilateral Post-Buckling of Coatings: AFM Observation and Finite Element Calculations,” Acta Materialia 53, 441–447 (2005).

    Article  Google Scholar 

  5. S. Faulhaber, C. Mercera, M.-W. Moon, et al., “Buckling Delamination in Compressed Multilayers on Curved Substrates with Accompanying Ridge Cracks,” J. Mech. Phys. Solids 54, 1004–1028 (2006).

    Article  ADS  Google Scholar 

  6. R. V. Gol’dshtein, K. B. Ustinov, and A. V. Chentsov, “Estimation of the Influence of Substrate Compliance on Stresses Causing Instability of a Delaminated Coating,” Vychisl. Mekh. Splosh. Sred 4 (3), 48–57 (2011).

    Google Scholar 

  7. R. V. Gol’dstein and N. M. Osipenko, “Delamination of coatings under the Influence of Thermoelastic Stresses (Beam Approximation),” Vestn. Samar. Gos. Univ. Estestv.-Nauch. Ser., No. 4, 66–83 (2007).

  8. P. A. Lyukshin, B. A. Lyukshin, N. Yu. Matolygina, and S. V. Panin, “Simulation of Delamination of Thermal Barrier Coatings under the Influence of Temperature Stress,” Izv. Vyssh. Uchebn. Zaved., Fiz. 54 (10), 123–130 (2011).

    Google Scholar 

  9. P. A. Lyukshin, B. A. Lyukshin, N. Yu. Matolygina, and S. V. Panin, “The Stress-Strain State of a Thermal Barrier Coating on an Elastic Substrate due to Buckling of the Coating,” Fiz. Mezomekh., No. 4, 52–62 (2017).

  10. K. B. Ustinov, “On Delamination of a Strip along the Boundary between Two Elastic Layers. Part. 1. Statement of the Problem, the Case of Normal Separation,” Vestn. Perm. Nats. Issled. Polytech. Univ., Mekh., No. 4, 226–245 (2015).

  11. V. D. Kurguzov, “Simulation of Delamination of Thin Films under Compression,” Vychisl. Mekh. Splosh. Sred 7 (1), 91–99 (2014).

    Google Scholar 

  12. A. O. Vatulyan, D. K. Plotnikov, and E. Yu. Kossovich, “Some Specific Characteristics of Indentation of Cracked Layered Structures,” Izv. Ross. Akad. Nauk, No. 4, 94–100 (2017).

  13. N. S. Astapov and V. M. Kornev, “The Supercritical Behavior of an Ideal Rod on an Elastic Foundation,” Prikl. Mekh. Tekh. Fiz. 35 (2), 130–142 (1994) [J. Appl. Mech. Tech. Phys. 35 (2), 286–296 (1994)].

    MATH  Google Scholar 

  14. N. S. Astapov, A. G. Demeshkin, and V. M. Kornev, “Buckling of a Bar on an Elastic Base,” Prikl. Mekh. Tekh. Fiz. 35 (5), 106–112 (1994) [J. Appl. Mech. Tech. Phys. 35 (5), 739–744 (1994)].

    Google Scholar 

  15. A. S. Vol’mir, Stability of Deformable Systems (Nauka, Moscow, 1967) [in Russian].

    Google Scholar 

  16. S. P. Timoshenko, “On the Longitudinal Bending of Rods in an Elastic Medium,” Izv. St. Peterb. Politekh. Inst. 7, (book 3), 95–113 (1907).

    Google Scholar 

  17. V. Kech and P. Teodorescu, Introduction to the Theory of Generalized Functions with Applications in Engineering (Mir, Moscow, 1978) [Russian translation].

    Google Scholar 

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Authors and Affiliations

  1. Southern Federal University, Rostov-on-Don, 344006, Russia

    A. O. Vatul’yan & K. L. Morozov

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  1. A. O. Vatul’yan
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  2. K. L. Morozov
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Correspondence to A. O. Vatul’yan.

Additional information

This work was supported by the Russian Science Foundation (Grant No. 18-11-00069).

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 61, No. 1, pp. 133–143, January–February, 2020.

Original Russian Text © A.O. Vatul’yan, K.L. Morozov.

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Vatul’yan, A.O., Morozov, K.L. Delamination of a Coating from an Elastic Substrate. J Appl Mech Tech Phy 61, 114–123 (2020). https://doi.org/10.1134/S0021894420010125

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  • DOI: https://doi.org/10.1134/S0021894420010125

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