A Contact Problem of an Elastic Layer Compressed by Two Punches of Different Radii

Subject Areas : Engineering

K Seghir ¹ , M Bendaoui ² , R Benbouta ³

1 - Department of Mechanical Engineering, Faculty of Technology, University of Batna2, Algeria
2 - Department of Mechanical Engineering, Faculty of Technology, University of Batna2, Algeria
3 - Department of Mechanical Engineering, Faculty of Technology, University of Batna2, Algeria

Received: 2018-06-19 Accepted : 2018-08-17 Published : 2018-09-30

Keywords:

References:

[1] Harding J.W., Sneddon I.N., 1945, The elastic stresses produced by the indentation of the plane surface of a semi-infinite elastic solid by a rigid punch, proceedings of the Cambridge Philosophical Society 41: 16-26.
[2] Ufliand Ja.S., 1965, Survey of Articles on the Applications of Integral Transforms in the Theory of Elasticity, Defense Technical Information Center, North Carolina State University.
[3] Kuz’min Iu.N., Ufliand Ia.S., 1967, The contact problem of an elastic layer compressed by two punches, Journal of Applied Mathematics and Mechanics 31(4): 711-715.
[4] Zakorko V.N., 1978, Contact problem for a layer with two stamps, Journal of Applied Mathematics and Mechanics 42(6): 1068-1073.
[5] Dhaliwal R.S., Sing B.M., 1977, Axisymmetric contact problem for an elastic layer on a rigid foundation with a cylindrical hole, International Journal of Engineering Science 15: 421-428.
[6] Ufljand Ia.S., 1963, Integral Transforms in Elasticity Problems, Nauka. SSR.
[7] Sneddon I.N., 1959, A note on the axially symmetric punch problem, Mathematika 6: 118-119.
[8] Sneddon I.N., 1977, Application of Integral Transforms in the Theory of Elasticity, CISM Courses and lectures, Springer-Verlag Vien, New York.
[9] Kuo C.H., Keer L., 1992, Contact stress analysis of a layered transversely isotropic half-space, ASME Journal of Tribology 114: 253-262.
[10] Matnyac S.V., 2003, Contact stresses distribution under a rigid cylinder rolling over a pre-stressed strip, International Applied Mechanics 39(7): 840-847.
[11] Shelestovshii B.G., Gabrusev G.V., 2004, Thermoelastic state of a transversely isotropic layer between two annular punches, International Applied Mechanics 40(4): 67-77.
[12] Ruiny C., Dahan M., 2002, Chargements axisymétriques d’un bicouche transversalement isotrope, Mécanique 330 : 469-473.
[13] Grilitskii D.V., Kizima Y., 1981, Theory of Deformation Elastic and Thermic, Axisymetric Contact Problem, Nauka, Moscow.
[14] Argatov I.I., Dmitriev N.N., 2003, Fundamentals of the Theory of Elastic Discrete Contact, St. Polytechnics, St. Petersburg, Russian.
[15] Gradshteyn I.I., Ryzhik I.M., 1980, Tables of Integrals, Series, and Products, Academie press, New York.
[16] Seghir K., Benbouta R., Balbacha El., 2010, Analysis of stresses in the contact zone Rigid cylindrical indenter – transversely isotropic elastic layer, Matériaux & Techniques 98: 227-232.
[17] Ditkin V.A., Prudnikov V.A., 1965, Integral Transforms and Operational Calculus, Pergamon Press, New York.