An Axisymmetric Contact Problem of a Thermoelastic Layer on a Rigid Circular Base

Subject Areas : Engineering

F Guerrache ¹ , B Kebli ²

1 - Department of Mechanical Engineering, Ecole Nationale Polytechnique, Algiers, Algeria
2 - Department of Mechanical Engineering, Ecole Nationale Polytechnique, Algiers, Algeria

Received: 2019-08-01 Accepted : 2019-10-05 Published : 2019-12-30

Keywords:

References:

[1] Dhaliwal R.S., 1966, Mixed boundary value problem of heat conduction for infinite slab, Applied Scientific Research 16: 226-240.
[2] Dhaliwal R.S., 1967, An axisymmetric mixed boundary value problem for a thick slab, SIAM Journal on Applied Mathematics 15: 98-106.
[3] Mehta B.R.C., Bose T.K., 1983, Temperature distribution in a large circular plate heated by a disk heat source, International Journal of Heat and Mass Transfer 26: 1093-1095.
[4] Lebedev N.N., Ufliand IA.S., 1958, Axisymmetric contact problem for an elastic layer, PMM 22: 320-326.
[5] Zakorko V.N., 1974, The axisymmetric strain of an elastic layer with a circular line of separation of the boundary conditions on both faces, PMM 38: 131-138.
[6] Dhaliwal R.S., Singh 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.
[7] Wood D.M., 1984, Circular load on elastic layer, International Journal for Numerical and Analytical Methods in Geomechanics 8: 503-509.
[8] Toshiaki H., Takao A., Toshiakaru S., Takashi K., 1990, An axisymmetric contact problem of an elastic layer on a rigid base with a cylindrical hole, JSME International Journal 33: 461- 466.
[9] Sakamoto M., Hara T., Shibuya T., Koizumi T., 1990, Indentation of a penny-shaped crack by a disc-shaped rigid inclusion in an elastic layer, JSME International Journal 33: 425- 430.
[10] Sakamoto M., Kobayashi K., 2004, The axisymmetric contact problem of an elastic layer subjected to a tensile stress applied over a circular region, Theoretical and Applied Mechanics Japan 53: 27-36.
[11] Sakamoto M., Kobayashi K., 2005, Axisymmetric indentation of an elastic layer on a rigid foundation with a circular hole, WIT Transactions on Engineering Sciences 49: 279-286.
[12] Kebli B., Berkane S., Guerrache F., 2018, An axisymmetric contact problem of an elastic layer on a rigid circular base, Mechanics and Mechanical Engineering 22: 215-231.
[13] Dhaliwal R.S., 1971, The steady-state thermoelastic mixed boundary-value problem for the elastic layer, IMA Journal of Applied Mathematics 7: 295-302.
[14] Wadhawan M.C., 1973, Steady state thermal stresses in an elastic layer, Pure and Applied Geophysics 104: 513- 522.
[15] Negus K.J., Yovanovich M., Thompson J.C., 1988, Constriction resistance of circular contacts on coated surfaces: Effect of boundary conditions, Journal of Thermophysics and Heat Transfer 2: 158-164.
[16] Lemczyk T.F., Yovanovich M.M., 1988, Thermal constriction resistance with convective boundary conditions-1 Half-space contacts, International Journal of Heat and Mass Transfer 31: 1861-1872.
[17] Lemczyk T.F., Yovanovich M.M., 1988, Thermal constriction resistance with convective boundary conditions-2 Half-space contacts, International Journal of Heat and Mass Transfer 31: 1873-1988.
[18] Rao T.V., 2004, Effect of surface layers on the constriction resistance of an isothermal spot. Part I: Reduction to an integral equation and numerical results, Heat and Mass Transfer 40: 439- 453.
[19] Rao T.V., 2004, Effect of surface layers on the constriction resistance of an isothermal spot. Part II: Analytical results for thick layers, Heat and Mass Transfer 40: 455- 466.
[20] Abdel-Halim A.A., Elfalaky A., 2005, An internal penny-shaped crack problem in an infinite thermoelastic solid, Journal of Applied Sciences Research 1: 325-334.
[21] Elfalaky A., Abdel-Halim A.A., 2006, Mode I crack problem for an infinite space in thermoelasticity, Journal of Applied Sciences 6: 598-606.
[22] Hetnarski R.B., Eslami M.R., 2009, Thermal Stresses-Advanced Theory and Applications, Springer, Dordrecht.
[23] Hayek S.I., 2001, Advanced Mathematical Methods in Science and Engineering, Marcel Dekker, New York.
[24] Duffy D.G., 2008, Mixed Boundary Value Problems, Boca Raton, Chapman Hall/CRC.
[25] Gradshteyn I.S., Ryzhik I. M., 2007, Table of Integrals- Series and Products, Academic Press, New York.