The elastic and electric fields for three-dimensional contact for transversely isotropic piezoelectric materials

International Journal of Solids and Structures

Volumn 37, Issue 23, 2000, Pages 3201-3229

  Ding, Hao Jiang ^a   Hou, Peng Fei ^a   Guo, Feng Lin ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CERAMIC MATERIALS; ELASTICITY; ELECTRIC FIELD EFFECTS; INTERFACES (MATERIALS); STRESS ANALYSIS;

BOUSSINESQ SOLUTION; CERRUTI SOLUTION; POINT FORCES;

PIEZOELECTRIC MATERIALS;

EID: 0033904579     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(99)00027-X     Document Type: Article

References (32)

1. Chen, W.T., 1969. Stresses in some anisotropic materials due to indentation and sliding. Int. J. Solids Structures 5, 191-214.
2. Conway, H.D., Farnham, K.A., 1967. Shear stresses induced on an axis of symmetry by circular sliding contact on a transversely isotropic body. J. App. Mech. 34, 756-757.
3. Conway, H.D., Farnham, K.A., Ku, T.C., 1967. The indentation of a transversely isotropic half-space by a rigid sphere. J. App. Mech. 34, 491-492.
4. Ding, H.J., Chen, B., Liang, J., 1996. General solutions for coupled equations for Piezoelectric media. Int. J. Solids Structures. 33, 2283-2298.
5. Ding, H.J., et al., 1997. The Elastic Mechanics of Transverse isotropy. Zhejiang University Press, P. R. China (in Chinese).
6. Elliott, H.A., 1948. Three-dimensional stress distributions in hexagonal aeolotropic crystals. Proc. Cambridge Phil. Soc. 44, 522-553.
7. Elliott, H.A., 1949. Axialsymmetric stress distributions in aeolotropic hexagonal crystals: the problem of the plane and related problem. Proc. Cambridge Philosophical. Society. 45, 621-630.
8. Fabrikant, V.I., 1988. Elastic field around a circular punch. J. App. Mech. 55, 604-610.
9. Fabrikant, V.I., 1989. Applications of Potential Theory in Mechanics, Selection of New Results. Kluwer Academic Publishers, The Netherlands.
10. Fabrikant, V.I., 1991. Mixed Boundary value Problems of Potential Theory and Their Applications in Engineering. Kluwer Academic Publishers, The Netherlands.
11. Fan, H., Sze, K.Y., Yang, W., 1996. Two-dimensional contact on a Piezoelectric half-space. Int. J. Solids Structures. 33, 1305-1315.
12. Gladwell, G.M.L., 1980. Contact Problems in the Classical Theory of Elasticity. Sijthoff and Noordhoff, Alphen aan den Rijn, The Netherlands.
13. Green, A.E., Zerna, W., 1954. Theoretical Elasticity. Clarendon Press, Oxford.
14. Hamilton, G.M., Goodman, L.E., 1966. The stress field created by a circular sliding contact. J. App. Mech. 33, 371-376.
15. Hanson, M.T., 1992a. The elastic field for spherical Hertzian contact including sliding friction for transversely isotropy. J. Tribology. 114, 606-611.
16. Hanson, M.T., 1992b. The elastic field for conical indentation including sliding friction for transverse isotropy. J. App. Mech. 59, S123-S130.
17. Hanson, M.T., 1994. The elastic field for an upright or tilted sliding circular flat punch on a transversely isotropic half space. Int. J. Solids Structures. 31, 567-586.
18. Hu, H.C., 1953. On three-dimensional problems of the theory of elasticity of a transversely isotropic body. Acta. Scientia Sin. 2 (2), 145-151.
19. Johnson, K.L., 1985. Contact Mechanics. Cambridge University Press, Cambridge.
20. Keer, L.M., Mowry, D.B., 1979. The stress field created by a circular sliding contact on transversely isotropic spheres. Int. J. Solids Structures. 15, 33-39.
21. Lin, W., Kuo, C.H., Keer, L.M., 1991. Analysis of a transversely isotropic half space under normal and tangential loadings. J. Tribology. 113, 335-338.
22. Mason, W.P., 1981. Piezoelectricity. Its history and application. J. Acoust. Soc. Am. 70, 1561-1566.
23. Mindlin, R.D., 1949. Compliance of elastic bodies in contact. J. App. Mech. 16, 259-268.
24. Muskhelishvili, N.I., 1953. Some Basic Problems of the Mathematical Theory of Elasticity. Groningen, Noordhoff.
25. Pan, Y.C., Chou, T.W., 1976. Point force solution for an infinite transversely isotropic solids. J. App. Mech. 43, 608-612.
26. Pohanka, R.C., Smith, P.L., 1988. Electronic Ceramics, Properties, Devices and Applications, Chapter 2. Marcel Dekker, New York.
27. Shield, R.T., 1951. Notes on problems in hexagonal aeolotropic materials. Proc. Cambridge Philosophical. Society. 47, 401-409.
28. Sneddon, I.N., 1951. Fourier Transforms. McGraw-Hill Book Company, Inc, New York.
29. Sosa, H.A., Castro, M.A., 1994. On concentrated loads at the boundary of a Piezoelectric half-plane. J. Mechanics and Physics Solids. 42(7), 1105-1122.
30. Wang, Z., Zheng, B., 1995. The general solution of three-dimensional problems in piezoelectric media. Int. J. Solids Structures. 32, 105-115.
31. Willis, J.R., 1966. Hertzian contact of anisotropic bodies. J. Mechanics and Physics Solids. 14, 163-176.
32. Willis, J.R., 1967. Boussinesq problem for an anisotropic half-space. J. Mechanics and Physics Solids. 15, 331-339.