Receding contact problem for a coated layer and a half-plane loaded by a rigid cylindrical stamp

• Autorzy: Adibelli H. , Comez I. , Erdol R.
• Języki publikacji: EN

Abstrakty

EN

In this study, the frictionless contact problem between a coated layer and a half-plane is considered when they are pressed by a rigid cylindrical stamp. Upon loading, two unknown contact widths and contact pressures occur on the contact areas the advanced contact area between the stamp and the coating; and the receding contact area between the layer and the half-plane. This problem is reduced to two singular integral equations by using the Fourier transform and applying the boundary conditions of the problem. The numerical solution of the system of singular integral equations is obtained by applying the Gauss–Chebyshev integration formulas.

Słowa kluczowe

EN

contact problem; coating; rigid stamp; Fourier transform

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2013
• Tom: Vol. 65, nr 3
• Strony: 219--236
• Opis fizyczny: Bibliogr. 18 poz., rys., wykr.

Twórcy

autor

Adibelli H.

• Civil Engineering Department, Bozok University, 66900, Yozgat, Turkey

autor

Comez I.

• Civil Engineering Department, Karadeniz Technical University, 61080, Trabzon, Turkey

autor

Erdol R.

• Civil Engineering Department, Karadeniz Technical University, 61080, Trabzon, Turkey

Bibliografia

• 1. Y. Weitsman, On the unbounded contact between plates and an elastic half space, J. Appl. Mech., ASME, 36, 198 202, 1969.
• 2. L. M. Keer, J. Dundurs, K. C. Tsai, Problems involving a receding contact between an elastic layer and half-space, J. Appl. Mech., Trans. ASME, 39, 1115-1120, 1972.
• 3. M. Ratwani, F. Erdoğan, On the plane contact problem for a frictionless elastic layer, Int. J. Solid Struct., 9, 8, 921 936, 1973.
• 4. M. B. Civelek, F. Erdoğan, The axisymmetric double contact problem for a frictionless elastic layer, Int. J. Solids Struct., 10, 6, 639 659, 1974.
• 5. M. R. Geçit, The axisymmetric double contact problem for a frictionless elastic layer indented by an elastic cylinder, Int. J. Eng. Sci., 24, 9, 1571-1584, 1986.
• 6. S. E. EL-Borgi, R. Abdelmoula, L. Keer, A receding contact plane problem between functionally graded layer and a homogeneous substrate, Int. J. Solid Struct., 43, 3, 658-674, 2006.
• 7. F. Erdogan, M. Ratwani, The contact problem for an elastic layer supported by two elastic quarter planes, J. Appl. Mech., Trans. ASME, 41, 673-677, 1974.
• 8. H. Bufler, Theory of elasticity of a multilayered medium, J. Blast., 1, 125-143, 1971.
• 9. M. J. Pindera, M. S. lane, Frictionless contact of layered half-planes, part II, numerical results, J. Appl. Mech., ASME, 60, 640-645, 1993.
• 10. W. K. Binienda, M. J. Pindera, Frictionless contact of layered metal matrix and polimer matrix composite half-planes, Compos. Sci. TechnoL, 50, 119-128, 1994.
• 11. 3. Yang, L. Ke, Two-dimensional contact problem for a coating-graded layer-substrate structure under a rigid cylindrical punch. Int. J. Mech. Sci., 50, 6, 985-994, 2008.
• 12. A. Birinci, R. Erdol, Frictionless contact between a rigid stamp and an elastic layered composite resting on simple supports, Math. & Comput. Appl., 4, 3, 261-272, 1999.
• 13. F. L. Çakiroğlu, M. Çakiroğlu, R. Erdol, Contact problems for two elastic layers resting on elastic half-plane, J. Eng. Mech., 127, 2, 113-118, 2001.
• 14. F. Erdogan, G. D. Gupta, On the numerical solution of singular integral equations, Quaterly Journal of Applied Mathematics, 29, 525-534, 1972.
• 15. N. I. Muskhelishvili, Singular Integral Equations, Noordhoff, Leyden, The Netherlands, 1958.
• 16. I. Comez, Frictional contact problem for a rigid cylindrical stamp and an elastic layer resting on a half-plane, International Journal of Solids And Structures, 47, 7-8, 1090—1097, 2010.
• 17. V. Kahya, T. S. Ozsahin, A. Birinci, R. Erdol, A receding contact problem for an anisotropic elastic medium consisting of a layer and a half-plane, International Journal of Solids and Structures, 44, 5695 5710, 2007.
• 18. K. L. Johnson, Contact Mechanics, Cambridge University Press, Cambridge, London, 1985.