0
TECHNICAL PAPERS

Thermoelastic Problems for the Anisotropic Elastic Half-Plane

[+] Author and Article Information
Yuan Lin, Timothy C. Ovaert

Department of Aerospace and Mechanical Engineering, The University of Notre Dame, Notre Dame, IN 46556

J. Tribol 126(3), 459-465 (Jun 28, 2004) (7 pages) doi:10.1115/1.1760553 History: Received July 29, 2003; Revised February 17, 2004; Online June 28, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.

References

Barber,  J. R., 1976, “Some Thermoelastic Contact Problems Involving Frictional Heating,” Q. J. Mech. Appl. Math., 29, pp. 2–13.
Barber, J. R., “Thermoelastic Contact Problems,” 1975, in Mechanics of Contact Between Deformable Bodies, de Pater and Kalker, eds., Delft University Press.
Barber,  J. R., 1971, “Solution of Heated Punch Problem by Point Source Methods,” Int. J. Eng. Sci., 9, pp. 1165–1169.
Barber,  J. R., 1973, “Indentation of the Semi-Infinite Elastic Solid by a Hot Sphere,” Int. J. Mech. Sci., 15, pp. 813–819.
 Comninou , 1981, “Heat Conduction Through a Flat Punch,” ASME J. Appl. Mech., 48, pp. 871–875.
Chao,  C. K., Wu,  S. P., and Gao,  B., 1999, “Thermoelastic Contact Between a Flat Punch and an Anisotropic Half-Space,” ASME J. Appl. Mech., 66, pp. 548–552.
Stroh,  A. N., 1958, “Dislocations and Cracks in Anisotropic Elasticity,” Philos. Mag., 3, pp. 625–646.
Stroh,  A. N., 1962, “Steady-State Problems in Anisotropic Elasticity,” J. Math. Phys., 41, pp. 77–103.
Lekhnitskii, S. G., 1963, Theory of Elasticity of an Anisotropic Body, Holden-Day, San Francisco.
Lekhnitskii, S. G., 1968, Anisotropic Plates, translation by S. W. Tsai and T. Cheron, Gordon and Breach, New York.
Suo,  Z., 1990, “Singularities, Interfaces and Cracks in Dissimilar Anisotropic Media,” Proc. R. Soc. London, Ser. A, A427, pp. 331–358.
Muskhelishvili, N. I., 1954, Some Basic Problems of Mathematical Theory of Elasticity, Noordhoff, Groningen.
Fan,  H., and Keer,  L. M., 1994, “Two-Dimensional Contact on an Anisptropic Elastic Half-Space,” ASME J. Appl. Mech., 61, pp. 250–255.
Clements,  D. L., 1973, “Thermal Stress in an Anisotropic Elastic Half-Space,” SIAM (Soc. Ind. Appl. Math.) J. Appl. Math., 24, pp. 332–337.
Hwu,  C., 1990, “Thermal Stresses in an Anisotropic Plate Distributed by an Insulated Elliptic Hole or Crack,” ASME J. Appl. Mech., 57, pp. 916–922.
Nowacki, W., 1962, Thermoelasticity, Addison Wesley, Reading, MA.
Onsager,  L., 1931, “Reciprocal Relations in Irreversible Processes. I,” Phys. Rev., 37, pp. 405–426.
Ting, T. C. T., 1996, Anisotropic Elasticity: Theory and Applications, Oxford Science Publication, New York.
Wu,  C. H., 1984, “Plane Anisotropic Thermoelasticity,” ASME J. Appl. Mech., 51, pp. 724–726.
Hwu,  C., 1992, “Thermoelastic Interface Crack Problems in Dissimilar Anisotropic Media,” Int. J. Solids Struct., 29, pp. 2077–2090.
Chao,  C. K., and Chang,  R. C., 1992, “Thermal Interface Crack Problems in Dissimilar Anisotropic Media,” J. Appl. Phys., 72(7), pp. 2598–2604.
Muskhelishvili, N. I., 1953, Singular Integral Equations, Noordhoff, Groningen.
Chadwick,  P., and Ting,  T. C. T., 1987, “On the Structure and Invariance of the Barnett-Lothe Tensors,” Q. J. Mech. Appl. Math., 45, pp. 419–427.
Ting,  T. C. T., 1986, “Explicit Solution and Invariance of the Singularities at an Interface Crack in Anisotropic Composites,” Int. J. Solids Struct., 22, pp. 965–983.
Boley, B. A., and Weiner, J. H., 1960, Theory of Thermal Stresses, Wiley, New York.
Dongye,  C., and Ting,  T. C. T., 1989, “Explicit Expressions of Barnett-Lothe Tensors and Their Associated Tensors for Orthotropic Materials,” Q. J. Mech. Appl. Math., 47, pp. 723–734.
Kollar, L. P., and Springer, G. S., 2003, Mechanics of Composite Structures, Cambridge University Press, Cambridge.

Figures

Grahic Jump Location
Elastic half-plane definition
Grahic Jump Location
Elastic half-plane with finite number of segments akbk
Grahic Jump Location
(a) Temperature distribution, orthotropic material, uniform temperature T0; (b) contours of T/T0, orthotropic material, uniform temperature T0; and (c) contours of T/T0, isotropic material, uniform temperature T0
Grahic Jump Location
(a) Distribution of σ11, orthotropic material, uniform temperature T0: (b) contours of σ11 (MPa), orthotropic material, uniform temperature T0; and (c) distribution of σ11 on the surface, orthotropic material, uniform temperature T0

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In