Contact problems of two dissimilar anisotropic elastic bodies

Journal of Applied Mechanics, Transactions ASME

Volumn 65, Issue 3, 1998, Pages 580-587

  Hwu, Chyanbin ^a   Fan, C W ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ADHESION; ANISOTROPY; BOUNDARY CONDITIONS; ELASTICITY; FRICTION; FUNCTIONS; VECTORS;

STROH'S FORMALISM;

DISSIMILAR MATERIALS;

EID: 0032157267     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2789098     Document Type: Article

References (28)

1. Conway, H. D., 1956, “The Indentation of a Transversely Isotropic Half-Space by a Rigid Punch,” J. Applied Mathematics and Physics (ZAMP), Vol. 7, pp. 80-85.
2. Dahan, M., and Zarka, J., 1977, “Elastic Contact Between a Sphere and a Semi-Infinite Transversely Isotropic Body,” International Journal of Solids and Structures, Vol. 13, pp. 229-238.
3. Dongye, C., and Ting, T. C. T., 1989, “Explicit Expressions of Barnett-Lothe Tensors and Their Associated Tensors for Orthotropic Materials,” Q. Appl. Math., Vol. 47, pp. 723-734.
4. Eshelby, J. D., Read, W. T., and Shockley, W 1953, “Anisotropic Elasticity with Application to Dislocation Theory,” Act. Met., Vol. 1, pp. 251-259.
5. Fabrikant, V. I., 1971, “Effect of Shearing Force and Tilting Moment on a Cylindrical Punch Attached to a Transversely Isotropic Half-Space,” Journal of Applied Mathematics and Mechanics, Vol. 35, pp. 178-182.
6. Fan, C. W., and Hwu, C., 1996, “Punch Problems for an Anisotropic Elastic Half-Plane,” ASME Journal of Applied Mechanics, Vol. 63, pp. 69-76.
7. Galin, L. A., 1953, Contact Problems of the Theory of Elasticity, Gostekhteore-tizdat, Moscow (in Russian); English Translation by I. N. Sneddon, ed., 1961, Department of Mathematics, North Carolina State College, Raleigh, NC.
8. Glagolev, N. I., 1945, “Resistance to Rotation of Cylindrical Bodies,” Journal of Applied Mathematics and Mechanics, Vol. 9, No. 4, pp. 318-333.
9. Gladwell, G. M. L., 1980, Contact Problems in the Classical Theory of Elasticity, Sithoff and Noordhoff, Alpen aan den Rijn, The Netherlands.
10. Gotoh, M., 1967, “Some Problems of Bonded Anisotropic Plates with Crack along the Bond,” Int. J. of Fracture Mechanics, Vol. 3, pp. 253-265.
11. Green, A. E., and Zerna, W., 1968, Theoretical Elasticity, Oxford University Press, London.
12. Hertz, H., 1882, “On the Contact of Elastic Solids,” J. reine und angewandte Mathematik, Vol. 92, pp. 156-171.
13. Hwu, C., 1992, “Thermoelastic Interface Crack Problems in Dissimilar Anisotropic Media,” International Journal of Solids and Structures, Vol. 29, pp. 2077-2090.
14. Hwu, C., 1993a, “Fracture Parameters for Orthotropic Bimaterial Interface Cracks,” Engineering Fracture Mechanics, Vol. 45, No. 1, pp. 89-97.
15. Hwu, C., 1993b, “Explicit Solutions for the Collinear Interface Crack Problems,” International Journal of Solids and Structures, Vol. 30, pp. 301-312.
16. Hwu, C., and Fan, C. W., 1998a, “Sliding Punches with/without Friction Along the Surface of the Anisotropic Elastic Half-Plane,” Q. J. Mech. Appl. Math., Vol. 51, Pt. 1, pp. 159-177.
17. Hwu, C., and Fan, C. W., 1998b, “Solving the Punch Problems by Analogy with the Collinear Interface Crack Problems,” International Journal of Solids and Structures, in press.
18. Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK.
19. Muskhelishvili, N. I., 1954, Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff, Groningen, The Netherlands.
20. Rekach, V. G., 1979, Manual of the Theory of Elasticity, Mir Publishers, Moscow.
21. Shtaeman, A. la, 1949, Contact Problems of the Theory of Elasticity, Gostekh-teoretizdat, Moscow (in Russian).
22. Stroh, A. N., 1958, “Dislocations and Cracks in Anisotropic Elasticity,” Phil. Mag., Vol. 7, pp. 625-646.
23. Ting, T. C. T., 1988, “Some Identities and the Structure of Ni in the Stroh Formalism of Anisotropic Elasticity,” Q. Appl Math., Vol. 46, pp. 109-120.
24. 3 = 0,” J. Elasticity, Vol. 27, pp. 143-165.
25. Ting, T. C. T., 1996, Anisotropic Elasticity-Theory and Applications, Oxford Science Publications, New York.
26. Wei, L., and Ting, T. C. T., 1994, “Explicit Expressions of Barnett-Lothe Tensors for Anisotropic Materials,” J. Elasticity, Vol. 36, pp. 67-83.
27. Willis, J. R., 1966, “Hertzian Contact of Anisotropic Bodies,” J. Mech. Phys. Solids, Vol. 14, pp. 163-176.
28. Willis, J. R., 1971, “Fracture Mechanics of Interfacial Cracks,” J. of Mechanics and Physics of Solids, Vol. 19, pp. 353-368