Antiplane Deformation of a Bimaterial with Thin Interfacial Nonlinear Elastic Inclusion

1. Arhipenko K.M., Kriviy O.F. (2008), Interfacial beam at different types of contact interaction of heterogeneous anisotropic plane (in Ukrainian), Mashynoznavstvo, 3(129), 16–21.Search in Google Scholar

2. Bozhydarnyk V.V, Sulym H. (1999), Elements of the theory of plasticity and strength (in Ukrainian), L'viv, Svit.Search in Google Scholar

3. Chernych K.F. (1998), Nonlinear singular elasticity (theory and applications) (in russian, ScPetersburg.Search in Google Scholar

4. Comninou M. (1977), The interface crack, J. Appl. Mech., 44, 631–636.10.1115/1.3424148Search in Google Scholar

5. Hills D.A, Nowell D., Sackfield A. (1993), Mechanics of elastic contact, Butterworth-Heinemann, Oxford.Search in Google Scholar

6. Johnson K.L. (1985), Contact mechanics, Cambridge University Press.10.1017/CBO9781139171731Search in Google Scholar

7. Kit G.S., Martynyak R.M. and Machishyn I.M. (2003), The effect of fluid in the contact gap on the stress state of conjugate bodies, Ibid, 39(3), 292–299.10.1023/A:1024414302961Search in Google Scholar

8. Ostryk V.I., Ulitko A.F. (2006), Wiener-Hopf method to contact problems of theory of elasticity (in Russian), Kiev, Naukova dumka.Search in Google Scholar

9. Panasyuk V.V., Savruk M.P., Datsyshyn O.P. (1976), Distribution tense neighborhood of cracks in the plates and shells (in Russian), Kiev, Naukova dumka.Search in Google Scholar

10. 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), Proc. of VI International symposium on Tribo-Fatigue MSTF 2010 (Minsk, 25 oct. – 1 nov. 2010) in 2 parts, part 2., Minsk, BGU, 399–404.Search in Google Scholar

11. Pasternak Ya.M., Sulym H.T., Pasternak R.M. (2012) Longitudinal shear of the body with thin straps and elastic inclusions of variable stiffness at their ideal and nonideal contacts, Mechanika i fizyka ruynuvannia budivelnych konstrukciy, Lviv, Kameniar, 9, 98–113.Search in Google Scholar

12. Piskozub J.Z., Sulim G.T. (2008), Thermoelastic equilibrium of piecewise homogeneous solids with thin inclusions, Journal of Engineering Mathematics. Special Issue Thermomechanics, 61, 315–337.10.1007/s10665-008-9225-3Search in Google Scholar

13. Rice J.R., Rosengren G.F. (1968), Plane strain deformation near a crack tip in power law hardening material, Journal of the Mechanics and Physic of Solids, 16, 1–12.10.1016/0022-5096(68)90013-6Search in Google Scholar

14. Savruk M.P. (1981), Two-dimensional elasticity problem for bodies with cracks (in Russian), Kiev, Naukova dumka.Search in Google Scholar

15. Schmueser D., Comninou M., Dundurs J. (1980), Separation and slip between a layer and substrate caused by a tensile load, Ibid, 18, 1149–1155.10.1016/0020-7225(80)90115-9Search in Google Scholar

16. Sekine H.(1982), Mechanics of debonding along the surfaces of dispersed flat inclusions in composite materials (A model of debonding along the surface of a flat inclusion), Trans. ASME. Journal of Applied Mechanics, 48A, 11(435), 1415–1420.10.1299/kikaia.48.1415Search in Google Scholar

17. Sulym H., Piskozub L., Piskozub Y., Pasternak Ia (2015), Anti-plane deformation of a bimaterial containing an interfacial crack with the account of friction. I. Single loading, Acta Mechanica et Automatica, 9(2), 115–121.10.1515/ama-2015-0020Search in Google Scholar

18. Sulym H., Piskozub L., Piskozub Y., Pasternak Ia. (2015), Anti-plane deformation of a bimaterial containing an interfacial crack with the account of friction. 2. Repeating and Cyclic loading, Acta Mechanica et Automatica, 9(3), 178–184.10.1515/ama-2015-0030Search in Google Scholar

19. Sulym H.T., Pasternak Ya.M., Piskozub J.Z., Piskozub L.G. (2015), Longitudinal shear of a bimaterial with frictional sliding contact in the interfacial crack, Journal of Theoretical and Applied Mechanics, 54(2), 529–539.10.15632/jtam-pl.54.2.529Search in Google Scholar

20. Sulym H.T. (2007), Fundamentals of the mathematical theory of thermoelastic equilibrium of deformable bodies with thin inclusions (in Ukrainian), Lviv, Doslidno-vydavnychyy tsentr NTSh.Search in Google Scholar

21. Sulym H.T., Piskozub Y.Z. (1996), Asymptotics of stresses in the vicinity of thin interface inclusion tips (in Ukrainian), Phis.-chim. mechanica materialiv (Materials Science), 32(4), 39–48.10.1007/BF02538967Search in Google Scholar

22. Sulym H.T., Piskozub Y.Z. (2004), Conditions of contact interaction (review) (in ukrainian), Mat. metody i fiz.-meh. polya (Journal of Mathematical Science), 47(3), 110–125.Search in Google Scholar