Analysis of the LEFM concept for interfacial cracks application to coating buckling delamination in terms of substrate elastic characteristics

• Autorzy: Djoković J. M. , Nikolić R. R. , Miletić I. M. , Mićunović M. V.
• Języki publikacji: EN

Abstrakty

EN

In this paper the buckling delamination of a coating on a flat substrate in form of a straightsided blister with special attention paid to the influence of elastic characteristics of the substrate is considered. Conditions for the buckling initiation are analyzed as well as the energy release rate and mode mixity of the interface crack as functions of the difference in elastic characteristics of the coating and the substrate. The problem is discussed from the aspect of application of the linear elastic fracture mechanics (LEFM) concept for the interfacial crack. The real angle function ! of the Dundurs parameters and and the ratio of thicknesses of the two layers are used for determination of the energy release rate and the load phase angle. Both the energy release rate along the sides of the blister and the average energy release rate at the front of the blister were calculated. The results thus obtained justify the application of the LEFM concept for interfacial cracks to the considered problem.

Słowa kluczowe

EN

coating; buckling delamination; LEFM concept; interfacial cracks

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2014
• Tom: Vol. 52 nr 1
• Strony: 61--69
• Opis fizyczny: Bibliogr. 14 poz., rys.

Twórcy

autor

Djoković J. M.

• University of Belgrade, Technical Faculty of Bor, Bor, Serbia

autor

Nikolić R. R.

• University of Kragujevac, Faculty of Engineering, Kragujevac, Serbia and University of Žilina, Faculty of Civil Engineering, Žilina, Slovakia

autor

Miletić I. M.

• University of Kragujevac, Faculty of Engineering, Kragujevac, Serbia

autor

Mićunović M. V.

• University of Kragujevac, Faculty of Engineering, Kragujevac, Serbia

Bibliografia

• 1. Cotterell B., Chen Z., 2000, Buckling and cracking of thin films on compliant substrates under compression, International Journal of Fracture, 104, 169-179
• 2. F¨oppl A., 1907, Vorlesungen ¨uber Technische Mechanik, vol. 5, R. Oldenbourg, Berlin
• 3. Hutchinson J.W., 2001, Delamination of compressed films on curved substrates, Journal of the Mechanics and Physics of Solids, 49, 1847-1864
• 4. Hutchinson J.W., Suo Z., 1992, Mixed mode cracking in layered materials, Advances in Applied Mechanics, 29, 63-191
• 5. K´arm´an Th.V., 1910, Festigkeitsprobleme im Maschinenbau, [In:] Encyklop¨adie der Mathematschen Wissenschaften, vol. 4/4, 311-385
• 6. Nikolic R.R., Djokovic J.M., 2011, Problems of cracks between the two thin layers, [In:] Crack Growth: Rates, Prediction and Prevention, D. Kubair (Edit.), Nova Publishers Inc., New York, 161-206
• 7. Nikolic R.R., Djokovic J.M., 2012, The LEFM concept for interfacial cracks application to the problem of coating delamination on cylindrical substrates, Journal of Applied Mechanics, 79, 3, 031005-1–031005-7
• 8. Nikolic R., Veljkovic J., 2006, Elastic-plastic analysis of crack on bimaterial interface, Theoretical and Applied Mechanics, 32, 2, 193-207
• 9. Rice J.R., 1988, Elastic fracture mechanics concepts for interfacial cracks, Journal of Applied Mechanics, 55, 98-103
• 10. Suo Z., Hutchinson J.W., 1990, Interface crack between the two elastic layers, International Journal of Fracture, 43, 1-18
• 11. Timoshenko S., Woinowski-Krieger S., 1959, Theory of Plates and Shells, 2nd ed., McGraw-Hill, New York
• 12. Veljkovic J.M., Nikolic R.R., 2003, Application of the interface crack concept to the problem of a crack between a thin layer and a substrate, Facta Universitates, 3, 573-581
• 13. Wierzbicki T., 2007, Plates and Shells, MIT http://ocw.mit.edu/courses/mechanical-engineering/2081j-plates-and-shells-spring-2007/readings/lecturenote.pdf
• 14. Yu H., Hutchinson J.W., 2002, Influence of substrate compliance on buckling delamination of thin films, International Journal of Fracture, 113, 39-55