On diffraction of acoustic and electric waves in piezoelectric medium by an absorbent half-plane electrode

International Journal of Solids and Structures

Volumn 44, Issue 11-12, 2007, Pages 3811-3827

  Melkumyan, Arman ^a  

^a YEREVAN STATE UNIVERSITY   (Armenia)

Author keywords

Dynamic fracture; Piezoelectric material; Surface wave; Transient wave propagation; Wave scattering; Wiener Hopf technique

Indexed keywords

ACOUSTIC WAVES; ACOUSTOELECTRIC EFFECTS; APPROXIMATION THEORY; ELECTROMAGNETIC WAVES; LAPLACE TRANSFORMS; NUMERICAL METHODS;

DYNAMIC FRACTURE; TRANSIENT WAVE PROPAGATION; WAVE SCATTERING; WIENER HOPF TECHNIQUES;

PIEZOELECTRIC MATERIALS;

EID: 33947577496     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2006.10.022     Document Type: Article

References (36)

1. Achenbach J.D. Wave Propagation in Elastic Solids (1984), North-Holland, Amsterdam
2. Bleustein J.L. A new surface wave in piezoelectric materials. Appl. Phys. Letters 13 (1968) 412-413
3. Cagniard L. Reflection and Refraction of Progressive Seismic Waves (1939), Gauthier-Villars, Paris
4. Chen Z.T., and Meguid S.A. The transient response of a piezoelectric strip with a vertical crack under electromechanical impact load. Int. J. Solids Struct. 37 (2000) 6051-6062
5. de Hoop A.T. A modification of Cagniard's method for solving seismic pulse problems. Appl. Sci. Res. B8 (1960) 349-360
6. Gakhov F.D. Boundary Value Problems (1990), Dover Publications, New York
7. Grigoryan, E., Melkumyan, A., 2004. On wave diffraction in a piezoelectric medium containing a semi-infinite electrode. In Proceedings of the International Seminar "Day on Diffraction' 2004", St. Petersburg, pp. 100-109.
8. Grigoryan E., and Melkumyan A. Diffraction of shear plane waves in piezoelectric media on the edges of parallel semi-infinite metallic strips. Proc. Natl. Acad. Sci. Armenia, Mech. 58 3 (2005) 16-28
9. Grigoryan E., and Melkumyan A. On diffraction in a piezoelectric medium by parallel-situated electrodes. Proceedings of The 4th Australasian Congress on Applied Mechanics (ACAM 2005) (2005), The National Committee on Applied Mechanics, Melbourne 93-598
10. Gu B., Yu S.-W., and Feng X.-Q. Transient response of an interface crack between dissimilar piezoelectric layers under mechanical impacts. Int. J. Solids Struct. 39 (2002) 1743-1756
11. Gu B., Yu S.-W., and Feng X.-Q. Transient response of an insulating crack between dissimilar piezoelectric layers under mechanical and electrical impacts. Arch. Appl. Mech. 72 (2002) 615-629
12. Gu B., Yu S.-W., Feng X.-Q., and Mai Y.-W. Scattering of love waves by an interface crack between a piezoelectric layer and an elastic substrate. Acta Mechanica Solida Sinica 15 (2002) 111-118
13. Gulyaev Y.V. Electroacoustic surface waves in solids. Soviet Phys. JETP 9 (1969) 37-38
14. Ing Y.S., and Wang M.J. Explicit transient solutions for a mode III crack subjected to dynamic concentrated loading in a piezoelectric material. Int. J. Solids Struct. 41 (2004) 3849-3864
15. Ing Y.S., and Wang M.J. Transient analysis for a mode-III crack propagating in a piezoelectric material. Int. J. Solids Struct. 41 (2004) 6197-6214
16. Li S., and Mataga P.A. Dynamic crack propagation in piezoelectric materials Part I: electrode solution. J. Mech. Phys. Solids 44 (1996) 1799-1830
17. Li S., and Mataga P.A. Dynamic crack propagation in piezoelectric materials Part II: vacuum solution. J. Mech. Phys. Solids 44 (1996) 1831-1866
18. Li S. Transient wave propagation in piezoelectric half space. Zeitschrift Fur Angewandte Mathematik Und Physik (ZAMP) 51 (2000) 236-266
19. Li S. On diffraction in a piezoelectric medium by a half-plane: the Sommerfeld problem. Zeitschrift Fur Angewandte Mathematik Und Physik (ZAMP) 52 (2001) 101-134
20. Li S., To A.C., and Glaser S.D. On scattering in a piezoelectric medium by a conducting crack. J. Appl. Mech. 72 (2005) 943-954
21. Li X.-F., and Tang G.J. Transient response of a piezoelectric ceramic strip with an eccentric crack under electromechanical impacts. Int. J. Solids Struct. 40 (2003) 3571-3588
22. Ma L., Wu L.-Z., Zhou Z.-G., and Guo L.-C. Scattering of the harmonic anti-plane shear waves by a crack in functionally graded piezoelectric materials. Composite Struct. 69 (2005) 436-441
23. Meguid S.A., and Chen Z.T. Transient response of a finite piezoelectric strip containing coplanar insulating cracks under electromechanical impact. Mech. Mater. 33 (2001) 85-96
24. Melkumyan A. Comments on "Dynamic crack propagation in piezoelectric materials-Part I. Electrode solution" by Shaofan Li, Peter A. Mataga [J. Mech. Phys. Solids 44 (1996) 1799-1830]. J. Mech. Phys. Solids 53 (2005) 1918-1925
25. Melkumyan A. Comments on "Explicit transient solutions for a mode III crack subjected to dynamic concentrated loading in a piezoelectric material" by Yi-Shyong Ing, Mau-Jung Wang [Int. J. Solids Struct. 41 (2004) 3849-3864]. Int. J. Solids Struct. 42 (2005) 6700-6704
26. Melkumyan A. Diffraction of nonstationary waves generated by a force applied on a face of a crack in piezoelectric medium in the cases of presence and absence of an electrode. Proc. Natl. Acad. Sci. Armenia, Mech. 58 2 (2005) 28-41
27. Melkumyan A. Dynamic propagation of a semi-infinite crack with constant velocity in piezoelectric medium. Proc. Natl. Acad. Sci. Armenia, Mech. 58 4 (2005) 59-74
28. Melkumyan A. On acoustic and electric waves diffraction in piezoelectric medium by a permeable half-plane crack. Zeitschrift Fur Angewandte Mathematik Und Physik (ZAMP) (2006) 10.1007/s00033-006-0076-3
29. Narita F., and Shindo Y. Dynamic anti-plane shear of a cracked piezoelectric ceramic. Theor. Appl. Fracture Mech. 29 (1998) 169-180
30. Noble B. Methods based on the Wiener-Hopf technique (1958), Pergamon Press, New-York
31. Parton V.Z., and Kudryavtsev B.A. Electromagnetoelasticity (1988), Gordon and Beach, New York
32. Shindo Y., Narita F., and Ozawa E. Impact response of a finite crack in an orthotropic piezoelectric ceramic. Acta Mechanica 137 (1999) 99-107
33. To A.C., Li S., and Glaser S.D. On scattering in dissimilar piezoelectric materials by a semi-infinite interfacial crack. Q. J. Mech. Appl. Math. 58 2 (2005) 309-331
34. To A.C., Li S., and Glaser S.D. Interfacial crack propagation in dissimilar piezoelectric materials. Wave Motion 43 (2006) 368-386
35. Ueda S. Transient response of sandwiched piezoelectric strip with crack normal to interface under impact. Theor. Appl. Fracture Mech. 40 (2003) 211-223
36. Ueda S. Transient dynamic response of a coated piezoelectric strip with a vertical crack. Eur. J. Mech. A/Solids 22 (2003) 925-942