On scattering in a piezoelectric medium by a conducting crack

Journal of Applied Mechanics, Transactions ASME

Volumn 72, Issue 6, 2005, Pages 943-954

  Li, Shaofan ^a   To, Albert C ^a   Glaser, Steven D ^a  

^a 109 McLaughlin Hall   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRO-ACOUSTIC WAVES; KIRCHHOFF DIFFRACTION FIELD; SEMI-INFINITE CRACK;

ACOUSTIC WAVES; ACOUSTOELECTRIC EFFECTS; CHARACTERIZATION; CRACKS; FERROELECTRICITY; PROBLEM SOLVING;

PIEZOELECTRIC MATERIALS;

EID: 27744488738     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2047627     Document Type: Article

References (43)

1. Auld, B. A., 1990, Acoustic Fields and Waves in Solids, 2nd ed., Krieger, Malabar, FL (two volumes).
2. Berlincourt, D., 1981, "Piezoelectric Ceramics: Characteristics and Applications," J. Am. Ceram. Soc., 70, pp. 1506-1595.
3. Suo, Z., Kuo, C.-M., Barnett, D. M., and Willis, J. R., 1992, "Fracture Mechanics for Piezoelectric Ceramics," J. Mech. Phys. Solids, 40, pp. 739-765.
4. Cao, H. C., and Evans, A. G., 1994, "Electric-Field Induced Fatigue Crack Growth in Piezoelectrics," J. Am. Ceram. Soc., 77, pp. 1783-1786.
5. Culshaw, B., 1996, Smart Structures and Materials, Artech House, Boston.
6. Uchino, K., 1998, "Materials Issues in Design and Performance of Piezoelectric Actuators: An Overview," Acta Mater., 46, pp. 3745-3753.
7. Shindo, Y., Togawa, R., and Moribayashi, H., 1999, "Scattering of Antiplane Shear Waves in a Piezoelectric Fibrous Composite Medium With Slip at Interfaces," J. Intell. Mater. Syst. Struct., 10, pp. 257-262.
8. Narita, F., and Shindo, Y. Y., 1999, "Scattering of Antiplane Shear Waves by a Finite Crack in Piezoelectric Laminates," Acta Mech., 134, pp. 27-43.
9. Wang, J., Sottos, N. R., and Weaver, R. L., 2003, "Mixed-Mode Failure of Thin Films Using Laser-Generated Shear Waves," Exp. Mech., 43, pp. 323-330.
10. Daros, C. H., and Antes, H., 2000, "The Elastic Motion of a Transversely Isotropic Piezoelectric Solid Caused by Impulsive Loading," ZAMP, 51, pp. 397-418.
11. Daros, C. H., and Antes, H., 2000, "On Strong Ellipticity Conditions for Piezoelectric Material of the Crystal Classes 6 mm and 622," Wave Motion, 31, pp. 237-253.
12. Li, S., 1996, "The Electromagneto-Acoustic Surface Wave in a Piezoelectric Medium: The Bleustein-Gulyaev Mode," J. Appl. Phys., 80, pp. 5264-5269.
13. Li, S., 2000, "Transient Wave Propagation in a Transversely Isotropic Piezoelectric Half Space," ZAMP, 51, pp. 236-266.
14. Daros, C. H., 2002, "A Fundamental Solutions for Transversely Isotropic, Piezoelectric Solids Under Electrically Irrotational Approximation," Mech. Res. Commun., 29, pp. 61-71.
15. Li, S., 2001, "On Diffraction in a Piezoelectric Medium by Half-Plane: The Sommerfeld Problem," ZAMP, 52, pp. 101-134.
16. Kottler, F., 1923, "Theory of Inflection in Black Screens," Ann. Phys., 70, pp. 405-456.
17. Kottler, F., 1965, "Diffraction at a Black Screen, Part I: Kirchoff Theory," Prog. Opt., 4, pp. 281-314.
18. Suo, Z., 1993, "Models for Breakdown-Resistant Dielectric and Ferroelectric Ceramics," J. Mech. Phys. Solids, 41, pp. 1155-1176.
19. Yang, W., and Suo, Z., 1994, "Cracking in Ceramic Actuators Caused by Electrostriction," J. Mech. Phys. Solids, 42, pp. 649-663.
20. Ru, C., 2000, "Electrode-Ceramic Interfacial Cracks in Piezoelectric Multilayer Materials," ASME J. Appl. Mech., 67, pp. 255-261.
21. Ru, C. Q., Mao, X., and Epstein, M., 1998, "Electric-Field Induced Interfacial Cracking in Multilayer Electrostrictive Actuators," J. Mech. Phys. Solids, 46, pp. 1301-1318.
22. Winzer, S. R., Shakar, N., and Ritter, A., 1989, "Designing Cofired Multilayer Electrostrictive Actuators for Reliability," J. Am. Ceram. Soc., 72, pp. 2246-2257.
23. Furuta, A., and Uchino, K., 1993, "Dynamic Observation of Crack Propagation in Piezoelectric Multilayer Ceramic Actuators," J. Am. Ceram. Soc., 76, pp. 1615-1617.
24. Aburatani, H., Harada, S., Uchino, K., and Furuta, A., 1994, "Destruction Mechanism of Ceramic Multilayer Actuators," Jpn. J. Appl. Phys., Part 1, 33, pp. 3091-3094.
25. Freiman, S. W., and White, G. S., 1994, "Intelligent Ceramic Materials: Issues of Brittle Fracture," in Proceedings of the 2nd International Conference for Intelligent Materials, Technical Publisher, Lancaster, PA, pp. 52-62.
26. Hao, T. H., Gong, X., and Suo, Z., 1996, "Fracture Mechanics for the Design of Ceramic Multilayer Actuators," J. Mech. Phys. Solids, 44, pp. 23-48.
27. McMeeking, R. M., 1989, "On Mechanical Stresses at Cracks in Dielectrics With Application to Dielectric Breakdown," J. Appl. Phys., 62, pp. 3116-3122.
28. McMeeking, R. M., 1989, "Electrostrictive Stress Near Crack-Like Flaws," ZAMP, 40, pp. 615-627.
29. Fulton, C. C., and Gao, H., 2001, "Effect of Local Polarization Switching on Piezoelectric Fracture," J. Mech. Phys. Solids, 49, pp. 927-952.
30. Bleustein, J. L., 1968, "A New Surface Wave in Piezoelectric Materials," Appl. Phys. Lett., 13, pp. 412-413.
31. Gulyaev, Y. V., 1969, "Electrocoustic Surface Waves in Solids," Sov. Phys. JETP, 9, pp. 37-38.
32. Cagniard, L., 1939, Reflexion et Refraction des Ondes Seismiques Progressives. Gauthier-Villars, Paris.
33. English translation; Reflection and Refraction of Progressive Seismic Waves, 1962, by E. A. Flinn and C. H. Dix, McGraw-Hill, New York.
34. de Hoop, A. T., 1960, "A Modification of Cagniard's Method for Solving Seismic Pulse Problems," Appl. Sci. Res., Sect. B, 8, pp. 349-360.
35. Achenbach, J. D., 1973, Wave Propagation in Elastic Solids, North-Holland, Amsterdam.
36. Liu, Y., Wang, C. H., and Ying, C. F., 1989, "Electromagnetic Acoustic Head Waves in Piezoelectric Media," J. Appl. Phys., 55, pp. 434-436.
37. Aki, K., and Richards, P. G., 2000, Quantitative Seismology, 2nd ed., University Science Books, Sausalito, CA.
38. Freund, L. B., 1990, Dynamic Fracture Mechanics, Cambridge University Press, Cambridge.
39. Sommerfeld, A., 1949, Optics: Lectures on Theoretical Physics Vol. IV, Academic Press, New York.
40. Liu, Y., Wang, C. H., and Ying, C. F., 1995, "Head Waves in Piezoelectric Half Space," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 42, pp. 66-72.
41. Li, S., and Malaga, P. A., 1996, "Dynamic Crack Propagation in Piezoelectric Materials, Part I: Electrode Solution," J. Mech. Phys. Solids, 44, pp. 1799-1830.
42. van der Pol, B., and Bremer, H., 1955, Operational Calculus, 2nd ed., Cambridge University Press, Cambridge.
43. Noble, B., 1958, Methods Based on the Wiener-Hopf Technique, Pergamon Press, New York.