The static response of functionally graded radially polarized piezoelectric spherical shells as sensors and actuators

Smart Materials and Structures

Volumn 19, Issue 3, 2010, Pages

  Li, Xian Fang ^a   Peng, Xu Long ^a   Lee, Kang Yong ^b  

^a CENTRAL SOUTH UNIVERSITY   (China)

^b Yonsei University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC APPROACH; CIRCUMFERENTIAL STRESS; CLOSED-FORM EXPLICIT EXPRESSION; ELECTRIC RESPONSE; ELECTRO-ELASTIC FIELDS; FREDHOLM INTEGRAL EQUATIONS; FUNCTIONALLY GRADED; GRADIENT INDEXES; MECHANICAL STIMULUS; NONHOMOGENEITY; NUMERICAL RESULTS; PIEZOELECTRIC HOLLOW SPHERE; POWER-LAW BEHAVIOR; RADIAL DIRECTION; SENSORS AND ACTUATORS; SENSORS OR ACTUATORS; SPHERICAL SHELL; STATIC RESPONSE; STRESS DISTRIBUTION;

ELECTRIC POTENTIAL; FUNCTIONALLY GRADED MATERIALS; NUMERICAL ANALYSIS; PIEZOELECTRIC TRANSDUCERS; PIEZOELECTRICITY; SENSORS; SPHERES; STRESS CONCENTRATION;

PIEZOELECTRIC ACTUATORS;

EID: 76849099338     PISSN: 09641726     EISSN: 1361665X     Source Type: Journal    
DOI: 10.1088/0964-1726/19/3/035010     Document Type: Article

References (29)

1. Jaffe B, Cook W R Jr and Jaffe H 1971 Piezoelectric Ceramics (London: Academic)
2. Tiersten H F 1969 Linear Piezoelectric Plate Vibrations (New York: Plenum)
3. Rao S S and Sunar M 1994 Piezoelectricity and its use in disturbance sensing and control of flexible structures: a survey Appl. Mech. Rev. 47 113-23
4. Saravanos D A and Heyliger P R 1999 Mechanics and computational models for laminated piezoelectric beams, plates, and shells Appl. Mech. Rev. 52 305-20
5. Moffett M B, Powers J M and Clay W J Jr 1988 Ultrasonic microprobe hydrophones J. Acoust. Soc. Am. 84 1186-93
6. Meyer R Jr, Weitzing H, Xu Q, Zhang Q, Newnham R E and Cochran K 1994 Lead zirconate titanate hollow-sphere transducers J. Am. Ceram. Soc. 77 1669-72
7. Lockwood G R, Turnbull D H and Forster F S 1994 Fabrication of high frequency spherically shaped PZT transducers IEEE Trans. Ultrason. Ferroelectr. Freq. Control 41 231-5
8. Alkoy S, Dogan A, Hladky A C, Langlet P, Cochran J K and Newnham R E 1999 Miniature piezoelectric hollow sphere transducers IEEE Trans. Ultrason. Ferroelectr. Freq. Control 44 1067-76
9. Alkoy S, Hladky A C, Dogan A, Cochran J K Jr and Newnham R E 2009 Design, performance and modeling of piezoceramic hollow-sphere microprobe hydrophones Meas. Sci. Technol. 20 095204
10. Toupin R A 1959 Piezoelectric relations and the radial deformation of a polarized spherical shell J. Acoust. Soc. Am. 31 315-8
11. Sinha D K 1962 Note on the radial deformation of a piezoelectric, polarized spherical shell with a symmetrical temperature distribution J. Acoust. Soc. Am. 34 1073-5
12. Hamonic B, Debus J C, Decarpigny J N, Boucher D and Tocquet B 1989 Analysis of a radiating thin-shell sonar transducer using the finite element method J. Acoust. Soc. Am. 86 1245-53
13. Alkoy S, Meyer R J Jr, Hughes W J, Cochran J K Jr and Newnham R E 1999 Piezoelectric hollow spheres for microprobe hydrophones Ferroelectrics 226 11-25
14. Loza I A and Shulga N A 1984 Axisymmetrical vibrations of a hollow piezoceramic sphere with radial polarization Sov. Appl. Mech. 20 113-7
15. Kim J O, Lee J G and Chun H Y 2005 Radial vibration characteristics of spherical piezoelectric transducers Ultrasonics 43 531-7
16. Chiroiu V and Munteanu L 2007 On the free vibrations of a piezoceramic hollow sphere Mech. Res. Commun. 34 123-9
17. Birman V, Griffin S and Knowles G 2000 Axisymmetric dynamics of composite spherical shells with active piezoelectric/composite stiffeners Acta Mech. 141 71-83
18. Chen W Q, Ding H J and Xu R Q 2001 Three-dimensional static analysis of multi-layered piezoelectric hollow spheres via the state space method Int. J. Solids Struct. 38 4921-36
19. Saadatfar M and Rastgoo A 2008 Stress in piezoelectric hollow sphere with thermal gradient J. Mech. Sci. Technol. 22 1450-67
20. Heyliger P and Wu Y C 1999 Electroelastic fields in layered piezoelectric spheres Int. J. Eng. Sci. 37 143-61
21. Dai H L and Wang X 2005 Stress wave propagation in laminated piezoelectric spherical shells under thermal shock and electric excitation Eur. J. Mech. A 24 263-76 (Pubitemid 40466967)
22. Li H Y, Liu Z X and Lin Q R 2000 Spherical-symmetric steady-state response of piezoelectric spherical shell under external excitation Appl. Math. Mech. 21 947-56
23. Li X F and Guo S H 2007 Strain incompatibility between dissimilar piezoceramics with a penny-shaped interfacial electrode Mech. Mater. 39 977-86
24. Suresh S 2001 Graded materials for resistance to contact deformation and damage Science 29 2447-51
25. Wu C C M, Kahn M and Moy W 1996 Piezoelectric ceramics with functional gradients: a new application in material design J. Am. Ceram. Soc. 79 809-12
26. Alkoy S 2007 Fabrication and properties of thin-shell monolithic piezoelectric ceramic transducers J. Mater. Sci. 42 6742-8
27. Ding H J, Wang H M and Chen W Q 2003 Analytical solution for the electroelastic dynamics of a nonhomogeneous spherically isotropic piezoelectric hollow sphere Arch. Appl. Mech. 73 49-62
28. Ootao Y and Tanigawa Y 2007 Transient piezothermoelastic analysis for a functionally graded thermopiezoelectric hollow sphere Compos. Struct. 81 540-9
29. Ghorbanpour A, Golabi S and Saadatfar M 2006 Stress and electric potential fields in piezoelectric smart spheres J. Mech. Sci. Technol. 20 1920-33