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Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.9 P.986-989

http://doi.org/10.1631/jzus.2005.A0986


The Reissner-Sagoci problem for transversely isotropic piezoelectric half-space


Author(s):  XIONG Su-ming, NI Guang-zheng, HOU Peng-fei

Affiliation(s):  School of Electrical Engineering, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   xiongsm@zju.edu.cn, houpf@hunu.edu.cn

Key Words:  Piezoelectric, Reissner-Sagoci problem, Cerruti solution


XIONG Su-ming, NI Guang-zheng, HOU Peng-fei. The Reissner-Sagoci problem for transversely isotropic piezoelectric half-space[J]. Journal of Zhejiang University Science A, 2005, 6(9): 986-989.

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DOI - 10.1631/jzus.2005.A0986


Abstract: 
Based on the general solution of piezoelectric media and the extended cerruti solution for tangential point forces acted on the surface of transversely isotropic piezoelectric half-space (Ding and Chen, 2001), the electro-elastic fields in a transversely isotropic piezoelectric half-space caused by a circular flat bonded punch under torsion loading, which is called reissner-Sagoci problem, are evaluated by first evaluating the displacement functions within the contact region and then differentiating them. All the coupling electro-elastic fields are expressed by elementary functions and are convenient to be used. Numerical results are finally presented.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Chen, W.Q., 1999. Inclined circular flat punch on a transversely isotropic piezoelectric half-space. Archive of Applied Mechanics, 69:455-464.

[2] Chen, W.Q., 2000. On piezoelastic contact problem for a smooth punch. Int. J. Solids Structures, 37:2331-2340.

[3] Chen, W.Q., Ding, H.J., 1999. Indentation of a transversely isotropic piezoelectric half-space by a rigid sphere. Acta Mechanica Solida Sinica, 12:114-120.

[4] Chen, W.Q., Shioya, T., Ding, H.J., 1999. The elasto-electric field for a rigid conical punch on a transversely isotropic piezoelectric half-space. ASME J. App. Mech., 66:764-771.

[5] Ding, H.J., Chen, W.Q., 2001. Three Dimensional Problems of Piezoelectricity. Nova Science Publishers, New York.

[6] Ding, H.J., Hou, P.F., Guo, F.L., 1999. Elastic and electric fields for elliptical contact for transversely isotropic piezoelectric bodies, ASME J. App. Mech., 66:560-562.

[7] Ding, H.J., Hou, P.F., Guo, F.L., 2000. The elastic and electric fields for three-dimensional contact for transversely isotropic piezoelectric materials. Int. J. Solids Structures, 37:3201-3229.

[8] Fabrikant, V.I., 1989. Applications of Potential Theory in Mechanics, Selection of New Results. Kluwer Academic Publishers, The Netherlands.

[9] Fabrikant, V.I., 1991. Mixed Boundary Value Problems of Potential Theory and Their Applications in Engineering. Kluwer Academic Publishers, The Netherlands.

[10] Fan, H., Sze, K.Y., Yang, W., 1996. Two-dimensional contact on a piezoelectric half-space, Int. J. Solids Structures, 33:1305-1315.

[11] Giannakopoulos, A.E., 2000. Strength analysis of spherical indentation of piezoelectric materials. ASME J. App. Mech., 67:409-416.

[12] Hanson, M.T., Puja, I.W., 1997. The Reissner-Sagoci Problem for the transversely isotropic half-space. ASME J. App. Mech., 64:692-694.

[13] Reissner, E., Sagoci, H.F., 1944. Forced torsional oscillations of an elastic half space. J. App. Physics, 15:652-654.

[14] Sneddon, I.N., 1947. Note on a boundary value problems of Reissner and Sagoci. J. App. Physics, 18:130-132.

[15] Sridhar, S., Giannakopoulos, A.E., Suresh, S., 2000. Mechanical and electrical responses of piezoelectric solids to conical indentation. J. App. Phys., 87:8451-8456.

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