Longitudinal shear of a bi-material with frictional sliding contact in the interfacial crack

• Autorzy: Sulym H. , Pasternak I. , Piskozub L. , Piskozub Y.

Identyfikatory

DOI

10.15632/jtam-pl.54.2.529

• Języki publikacji: EN

Abstrakty

EN

We construct an analytical solution to the anti-plane problem of an inhomogeneous bi- -material medium with the interfacial crack considering sliding friction. The medium is exposed to an arbitrary normal and shear loading in the longitudinal direction. Using the jump function method, the problem is reduced to a solution to singular integral equations for the jumps of displacements and stresses in the areas with sliding friction. Explicit expressions for displacements, stress intensity factors and energy dissipation are obtained. Critical load values for determination of the onset of slippage are investigated. The effect of friction and loading parameters on the size of the slip zone, stress intensity factors and energy dissipation is numerically analyzed.

Słowa kluczowe

EN

friction; interfacial crack; stress intensity factor; longitudinal shear; jump functions

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 2
• Strony: 529--539
• Opis fizyczny: Bibliogr. 23 poz., rys.

Twórcy

autor

Sulym H.

• Bialystok University of Technology, Białystok, Poland

autor

Pasternak I.

• Lutsk National Technical University, Lutsk, Ukraine

autor

Piskozub L.

• Ukrainian Academy of Printing, Pidgolosko, L’viv, Ukraine

autor

Piskozub Y.

• Ukrainian Academy of Printing, Pidgolosko, L’viv, Ukraine

Bibliografia

• 1. Aravas N., Sharma S.M., 1991, An elastoplastic analysis of the interface crack with contact zones, Journal of the Mechanics and Physics of Solids, 39, 311-344
• 2. Arhipenko K.M., Kriviy O.F., 2008, Interphase beam at different types of contact interaction of heterogeneous anisotropic plane (in Ukrainian), Mashynoznavstvo, 3, (129), 16-21
• 3. Brussat T.R., Westmann R.A., 1974, Interfacial slip around rigid fiber inclusion, Journal of Composite Materials, 8, 4, 364-377
• 4. Cherepanov G.P., 1966, On the development of cracks in compressed bodies (in Russian), Prikladnaya Matematika i Mehanika, 30, 1, 82-93
• 5. Comninou M., 1977, The interface crack, Journal of Applied Mechanics, 44, 631-636
• 6. Comninou M., Dundurs J., 1980, Effect of friction on the interface crack loaded in shear, Journal of Elasticity, 10, 2, 203-212
• 7. Comninou M., Schmueser D., Dundurs J., 1980, Frictional slip between a layer and a substrate caused by a normal load, International Journal of Engineering Science, 18, 131-137
• 8. Goryacheva I.G., 2001, Mechanics of Friction Interaction (in Russian), Moscow, Nauka
• 9. Herrmann K.P., Loboda V.V., 1999, On interface crack models with contact zones situated in an anisotropic bimaterial, Archive of Applied Mechanics, 69, 317-335
• 10. Hills D.A., Nowell D., Sackfield A., 1993, Mechanics of Elastic Contact, ButterworthHeinemann, Oxford
• 11. Johnson K.L., 1985, Contact Mechanic, Cambridge etc., Cambridge University Press
• 12. Kalker J.J., 1977, A survey of the mechanics of contact between solid bodies, Zeitschrift f¨ur Angewandte Mathematik und Mechanik, 57, 5, T3-T17
• 13. Kharun I.V., Loboda V.V., 2003, A set of interface cracks with contact zones in combined tension-shear field, Acta Mechanica, 166, 43-56
• 14. Kundrat M.M., Sulym H.T., 2003, Prefracture zone in the composition of high-modulus elastic inclusion in the symmetric and antisymmetric load (in Ukrainian), Matematychni Problemy Mehaniky Neodnoridnyh Struktur, Lviv, 322-324
• 15. Martynyak R., Kryshtafovych A., 2000, Friction contact of two elastic half-planes with local recesses in boundary, Journal of Friction and Wear, 21, 4, 6-15
• 16. Ostryk V.I., Ulitko A.F., 2006, Wiener-Hopf Method in Contact Problems of Elasticity Theory (in Russian), Kiev, Naukova Dumka
• 17. Pasternak Ya.M., Sulym H.T., Piskozub L.G., 2010, Models of thin inclusion with the account of imperfect contact with the medium (in Russian), Proceedings of VI International Symposium on Tribo-Fatigue ISTF 2010, Part 2, Minsk, BGU, 399-404
• 18. Piskozub L.G., 2014, Longitudinal shear by concentrated force of bi-material with taking into account friction in the interfacial crack (in Ukrainian), Physic-Mathematical Modeling and Informational Technologies, 20, 160-172
• 19. Piskozub J.Z., Sulim G.T., 2008, Thermoelastic equilibrium of piecewise homogeneous solids with thin inclusions, Journal of Engineering Mathematics. Special Issue Thermomechanics, 61, 315-337
• 20. Piskozub L.G., Sulym H.T., Pasternak Ya.M., 2014, Influence of friction on hysteresis under cycling loading of solid with interface crack by the longitudinal shear (in Ukrainian), Applied Problems of Mechanics and Mathematics, 12, 184-191
• 21. Sulym H.T., 2007, Bases of Mathematical Theory of Thermo-Elastic Equilibrium of Solids Containing Thin Inclusions (in Ukrainian), L’viv, Research and Publishing center of NTSh
• 22. Sulym G.T., Piskozub J.Z., 2004, Contact conditions (a survey) (in Ukrainian), Mat. Metody i Fiz.-Meh. Polya (Journal of Mathematical Science), 47, 3, 110-125
• 23. Weertman J., Lin I.-H., Thomson R., 1983, Double slip plane crack model, Acta Metallurgica, 31, 4, 473-482

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.