Green's function for an infinite piezoelectric strip with a general line defect

• Autorzy: Nowacki J. P. , Alshits V. L. , Radowicz A.
• Języki publikacji: EN

Abstrakty

EN

The 2D electro-elastic fields are found in the piezoelectric strip with the straight general line defect parallel to the surfaces and consisting of the four coinciding sources: the line of forces, the charged line, the dislocation line and its electrostatic analogue. Electrically, the strip is supposed to be placed between two isotropic dielectric media. Mechanically, three boundary conditions are considered: (i) both the surfaces are free; (ii) both the surfaces are clamped; and (iii) one surface is free and the other is clamped. The solutions obtained for a general case of unrestricted anisotropy are presented in the form of convergent Fourier integrals, in terms of the eigenvectors and eigenvalues of the generalized Stroh problem. Determination of these eigenvalues and eigenvectors requires additional computing. Specific features of the derived solutions at infinity are analyzed.

Słowa kluczowe

EN

eigenvalue; eigenfunction; piezoelectricity; Green's function methods; infinite piezoelectric strip; dislocation line; generalized Stroh problem

PL

wartość własna; funkcja własna; piezoelektryczność; metoda funkcji Greena; linia dyslokacji

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Journal of Technical Physics
• Rocznik: 2002
• Tom: Vol. 43, no 2
• Strony: 133--153
• Opis fizyczny: Bibliogr. 31 poz., rys.

Twórcy

autor

Nowacki J. P.

• The Polish-Japanese Institute of Information Technologies, ul. Koszykowa 86, 02-008 Warsaw, Poland

autor

Alshits V. L.

• Institute of Crystallography RAS, Leninsky prospect 59, 117333 Moscow

autor

Radowicz A.

• Kielce University of Technology, Al. 1000-lecia Państwa Polskiego 7, 25-314 Kielce, Poland

Bibliografia

• 1. A.N. Stroh, Phil. Mag., 3, 625, 1958.
• 2. A.N. Stroh, J. Math. Phys., 41, 77, 1962.
• 3. K. Malen, Phys. Stat. Sol., B, 44, 661, 1971.
• 4. C. Teodosiu, Elastic models of crystal defects, Springer, Berlin 1982.
• 5. D.M. Barnett, J. Lothe, Phys. Norv., 7, 13, 1973.
• 6. D. Bacon, D.M. Barnett, R.O. Scattergood, Prog. Mater. Sci., 23, 51, 1979.
• 7. V.L. Indenbom, S.S. Orlov, Sov. Phys.-JETP, 6, 274, 1967.
• 8. J. Lothe, Phys. Norv., 2, 153, 1967.
• 9. J. Lothe, [in:] Fundamental aspects of dislocation theory, Spec. Publ., Vol. 317, J.A. Simmons, R. De Wit, R. Bullough [Eds.], Nat. Bur. Stand., p.ll, Washington 1970,
• 10. Elastic strain fields and dislocation mobility, V.L. Indenbom, J. Lothe [Eds.], North-Holland, Amsterdam 1992.
• 11. D.M. Barnett, J. Lothe, J. Phys., F, 4, 1618, 1974.
• 12. D.M. Barnett, Structure and deformation of boundaries, K. Subramyan, M.A.Imam Metallurgical Society, pp.31-50, London 1986.
• 13. K.-C. Wu, Y.-T. Chiu, Int. J. Solids Struct., 32, 3/4, 543-552, 1995.
• 14. V.I. Alshits, H.O.K. Kirchner, Phil. Mag., 72, 6, 1445-1470, 1995.
• 15. F.R.N. Nabarro, E.J. Kostlan, J.Appl. Phys., 49, 5445, 1978.
• 16. W.C. Moss, W.G. Hoover, J. Appl. Phys., 49, 5449, 1978.
• 17. L. Stagni, R. Lizzio, Int. J. Engng Sci., 24, 471, 1986.
• 18. M.Yu. Gutkin, A.E. Romanov, Phys. Stat. Sol. A, 125, 107, 1991.
• 19. M.Yu. Gutkin, A.E. Romanov, Phys. Stat. Sol. A, 129, 363, 1992.
• 20. A.M. Koseyich, L.A. Pastur, E.P. Feldman, Sov. Phys.-Crystallogr. 12, 797, 1968.
• 21. G. Saada, Phys. Stat. Sol. (b), 44, 717, 1971.
• 22. G. Faivre, G. Saada, Phys. Stat. Sol. (b), 52, 127, 1972.
• 23. S. Minagava, Phys. Stat. Sol. (b), 124, 565, 1984.
• 24. S. Minagava, K. Shintani, Phil. Mag. A, 51, 277, 1985.
• 25. E. Jergan, Diploma thesis, University of Trondheim, Norwegian Institute of Technology, unpublished, 1970.
• 26. D.M. Barnett, J. Lothe, Phys. Stat. Sol. B, 67, 105, 1975.
• 27. V.I. Alshits, A.N. Darinskii, J. Lothe, Wave Motion, 16, 265, 1992.
• 28. J. Lothe, D.M. Barnett, J. Appl. Phys., 47, 5, 1799, 1976.
• 29. J. Lothe, D.M. Barnett, Phys. Norv., 8, 4, 239, 1977.
• 30. V.I. Alshits, A.N. Darinskii, J. Lothe, V.N. Lyubimov, Wave Motion, 19, 113, 1994.
• 31. K.A. Ingebrigtsen, J. Appl. Phys., 40, 2681, 1969.