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材料各向异性对热弹性接触问题的影响

S·P·马瑞克 M·卡诺瑞 P·K·乔德辉

S·P·马瑞克, M·卡诺瑞, P·K·乔德辉. 材料各向异性对热弹性接触问题的影响[J]. 应用数学和力学, 2008, 29(4): 453-462.
引用本文: S·P·马瑞克, M·卡诺瑞, P·K·乔德辉. 材料各向异性对热弹性接触问题的影响[J]. 应用数学和力学, 2008, 29(4): 453-462.
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.

材料各向异性对热弹性接触问题的影响

详细信息
  • 中图分类号: O343.3;O343.6

Effect of Anisotropy on Thermoelastic Contact Problem

  • 摘要: 研究一个绝热刚性冲头和各向异性弹性传热半空间之间的稳态平面接触问题.由于冲头在半空间表面上的滑移,在接触区域内摩擦生热,并且热辐射到接触区域之外的区域.利用Fourier积分变换,将问题简化为两个奇异积分方程构成的方程组.利用Gauss-Jacobi梯形求积公式,数值地求解该方程组.给出了各向异性和热效应的图例.
  • [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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出版历程
  • 收稿日期:  2007-10-15
  • 修回日期:  2007-12-31
  • 刊出日期:  2008-04-15

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