Sakti Pada Barik, M. Kanoria, P. K. Chaudhuri. Effect of Anisotropy on Thermoelastic Contact Problem[J]. Applied Mathematics and Mechanics, 2008, 29(4): 453-462.
Citation: Sakti Pada Barik, M. Kanoria, P. K. Chaudhuri. Effect of Anisotropy on Thermoelastic Contact Problem[J]. Applied Mathematics and Mechanics, 2008, 29(4): 453-462.

Effect of Anisotropy on Thermoelastic Contact Problem

  • Received Date: 2007-10-15
  • Rev Recd Date: 2007-12-31
  • Publish Date: 2008-04-15
  • The stationary plane contact of an insulated rigid punch and a half-space which is elastically anisotropic but thermally conducting are concerned with.The frictional heat generation inside the contact region due to the sliding of the punch over the half-space surface and the heat radiation outside the contact region are taken into account.With the help of Fourier integral transform the problem was reduced to a system of two singular integral equations.The equations were solved numerically by using Gauss-Jacobi and trapezoidal-rule quadratures.The effects of anisotropy and thermal effects were shown graphically.
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  • [1]
    Comez I,Birinci A,Erdol R. Double receding contact problem for a rigid stamp and two elastic layers[J].European J Mech A Solids,2004,23(6):909-924. doi: 10.1016/j.euromechsol.2004.05.008
    [2]
    Chaudhuri P K,Ray S.Receding contact between an orthotropic layer and an orthotropic half-space[J].Archives of Mechanics,1998,50(4):743-755.
    [3]
    Chaudhuri P K,Ray S.Receding axisymmetric contact between a transversely isotropic layer and a transversely isotropic half-space[J].Bull Calcutta Math Soc,2003,95(2):151-164.
    [4]
    El-borgi S,Abdelmoula R,Keer L.A receding contact plane problem between a functionally graded layer and a homogeneous substrate[J].Internat J Solids and Structures,2006,43(12):658-674. doi: 10.1016/j.ijsolstr.2005.04.017
    [5]
    Jing H S,Liao M L.An improved finite element scheme for elastic contact problems with friction[J].Computers and Structures,1990,35(5):571-578. doi: 10.1016/0045-7949(90)90385-F
    [6]
    Fabrikant V I.Elementary solution of contact problems for a transversely isotropic layer bonded to a rigid foundation[J].Z Angew Math Phys,2006,57(3):464-490. doi: 10.1007/s00033-005-0041-6
    [7]
    Shvets R M,Martynyak R M,Kryshtofovych A A. Discontinuous contact of an anisotropic half-plane and a rigid base with disturbed surface[J].Internat J Engrg Sci,1996,34(2):183-200. doi: 10.1016/0020-7225(95)00091-7
    [8]
    Barik S P,Kanoria M,Chaudhuri P K. Contact problem for an anisotropic elastic layer lying on an anisotropic elastic foundation under gravity[J].J Indian Acad Math,2006,28(1):205-223.
    [9]
    Adams C G,Barber J R,Ciavarella M,et al.A paradox in sliding contact problems with friction[J].J Appl Mech,2005,72(1):1-3. doi: 10.1115/1.1795221
    [10]
    Barber J R. Some thermoelastic contact problems involving frictional heating[J].Quart J Mech Appl Math,1976,29(1):1-13. doi: 10.1093/qjmam/29.1.1
    [11]
    Ciavarella M,Johansson L,Afferrante L,et al.Interaction of thermal contact resistance and frictional heating in thermoelastic instability[J].Internat J Solids and Structures,2003,40(21):5583-5597. doi: 10.1016/S0020-7683(03)00313-5
    [12]
    Ciavarella M, Barber J R. Stability of thermoelastic contact for a rectangular elastic block sliding against a rigid wall[J].European J Mech A Solids,2005,24(3):371-376. doi: 10.1016/j.euromechsol.2004.10.008
    [13]
    KE Liao-liang,WANG Yue-sheng.Two dimensional sliding frictional contact of functionally graded materials[J].European J Mech A Solids,2007,26(1):171-188. doi: 10.1016/j.euromechsol.2006.05.007
    [14]
    Grilitskii D V,Pauk V I.The plane contact problem of steady thermoelasticity taking heat generation into account[J].J Appl Math Mech,1997,61(6):1007-1012. doi: 10.1016/S0021-8928(97)00129-9
    [15]
    Gwarny M,Pauk V J. Plane contact problem involving frictional heating for a thermoelastic wedge[J].J Thermal Stresses,2002,25(6):573-583. doi: 10.1080/01495730290074306
    [16]
    Hills D A,Barber J R.Steady motion of an insulating rigid flat-ended punch over a thermally conducting half-plane[J].Wear,1985,102(1/2):15-22. doi: 10.1016/0043-1648(85)90087-0
    [17]
    Hills D A,Barber J R. Steady sliding of a circular cylinder over a thermally conducting half-plane[J].Internat J Mech Sci,1986,28(9):613-622. doi: 10.1016/0020-7403(86)90076-7
    [18]
    Yevtushenko A A,Pauk V J. The non-stationary contact problem for rough bodies taking heat generation by friction into account[J].J Appl Math Mech,1996,60(4):687-692. doi: 10.1016/S0021-8928(96)00086-X
    [19]
    Yevtushenko A A,Pauk V J. Steady state frictional heat generation on the periodical sliding contact[J].Mathematical Methods and Physicomechanical Fields,1999,42(1):95-99.
    [20]
    Jang Y H.Effects of thermal contact resistance on transient thermoelastic contacts for an elastic foundation[J].J Appl Mech,2005,72(6):972-977. doi: 10.1115/1.2042485
    [21]
    Matysiak S J,Pauk V J.Plane contact problem for periodic laminated composite involving frictional heating[J].Archive of Applied Mechanics,1995,66(1):82-89.
    [22]
    Ma L F,Korsunsky A M. Fundamental formulation for frictional contact problems of coated systems[J].Internat J Solids and Structures,2004,41(11/12):2837-2854. doi: 10.1016/j.ijsolstr.2003.12.022
    [23]
    Lekhnitskii S G.Theory of Elasticity of an Anisotropic Body[M].Moscow:Mir Publishers,1981.
    [24]
    Pauk V J. Plane contact problem involving heat generation and radiation[J].J Theory Appl Mech,1994,32(4):829-839.
    [25]
    Pauk V J. Plane contact problem for a layer involving frictional heating[J].Internat J Heat and Mass Transfer,1999,42(14):2583-2589. doi: 10.1016/S0017-9310(98)00330-5
    [26]
    Pauk V. Contact problem involving frictional heating for rough half-space[J].J Appl Mech,2004,71(2):287-290. doi: 10.1115/1.1687793
    [27]
    Pauk V,Wozniak M.Frictional heating effects in the plane contact of a layer and a rigid flat punch[J].J Tech Phys,2003,44(3):237-244.
    [28]
    Pauk V,Zastrau B. 2D rolling contact problem involving frictional heating[J].Internat J Mech Sci,2002,44(12):2573-2584. doi: 10.1016/S0020-7403(02)00193-5
    [29]
    Pauk V J,Yevtushenko A. A frictional heating in a sliding contact of two thermoelastic bodies[J].Internat J Solids and Structures,1997,34(12):1505-1516. doi: 10.1016/S0020-7683(96)00091-1
    [30]
    Marzeda J,Pauk V,Wozniak M.Contact of a rigid body flat punch with a wedge supported by the winkler foundation[J].J Theory Appl Mech,2001,39(3):563-575.
    [31]
    Dhaliwal R S,Singh A.Dynamic Coupled Thermoelasticity[M].India:Hindustan Publishing Co,1980.
    [32]
    Vorovich I I,Aleksandov V A,Babeshko A.Non-Classical Contact Problem of Elasticity[M].Moscow:Nauka,1974.
    [33]
    Timoshenko S P,Goodier J N.Theory of Elasticity[M].Maidenhead:McGrag-Hill,1934.
    [34]
    Abramowitz M,Stegun I.Handbook of Mathematical Functions[M].New York:National Bureau of Standards,1964.
    [35]
    Krenk S. On quadrature formulas for singular integral equations of the first and the second kind[J].Quart Appl Math,1975,33(3):225-232.
    [36]
    S·P·马瑞克,M·卡诺瑞,P·K·乔德辉.无限横观各向同性弹性圆柱中刚性圆盘的扭转振动[J].应用数学和力学,2006,27(7):799-804.
    [37]
    Noda N, Ashida F. Transient thermoelastic fields in a transversely isotropic infinite solid with a penny-shaped crack[J].J Appl Mech,1987,54(4):854-860. doi: 10.1115/1.3173128
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