journal article·2006-12

Micromechanics of piezoelectric composites with improved effective piezoelectric constant

Manas Chandra Ray

Publisher page

Abstract

This paper is concerned with the derivation of a micromechanics model of a new type of piezoelectric fiber reinforced composite (PFRC) materials. A continuum mechanics approach is employed to determine the effective properties of these composites. The piezoelectric fibers of these composites are considered to be electroded at the fiber–matrix interface such that the electric fields in the fiber and matrix become equal in the direction transverse to the fiber direction. The model has been verified with the existing models. The present model also predicts that the effective piezoelectric coefficient of these PFRC which accounts for the actuating capability in the fiber direction due to the applied field in the direction transverse to the fiber direction improves over the corresponding coefficient of the material of the piezoelectric fibers if the fiber volume fraction exceeds a critical fiber volume fraction.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Aeroelasticity and Vibration Control · Composite Structure Analysis and Optimization · Acoustic Wave Phenomena Research

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (40)

Show source-provided references
1. Aboudi, J.: Micromechanical prediction of the effective coefficients of thermo-piezoelectric multiphase composites. J. Intell. Mater. Syst. struct. 9, 713–722 (1998)10.1177/1045389X9800900903 ↗
2. Agarwal, B.N., Treanor, K.E.: Shape Control of a beam using piezoelectric actuators. Smart Mater. Struct. 8, 729–740 (1999)10.1088/0964-1726/8/6/303 ↗
3. Azvine, B., Tomlinson, G.R., Wynne, R.J.: Use of active constrained layer damping for controlling resonant. Smart Mater. Struct. 4, 1–6 (1995)10.1088/0964-1726/4/1/001 ↗
4. Bailey, T., Hubbard, J.E.: Distributed piezoelectric polymer active vibration control of a cantilever beam. J. Guid. Control Dynam. 8(5), 605–611 (1985)10.2514/3.20029 ↗
5. Baz, A., Poh, S.: Performance of an active control system with piezoelectric actuators. J. Sound Vib. 126(2), 327–343 (1988)10.1016/0022-460X(88)90245-3 ↗
6. Baz, A., Poh, S.: Optimal vibration control with modal positive position feedback. Opt. Control Appl. Methods 17, 141–149 (1996)10.1002/(SICI)1099-1514(199604/06)17:2<141::AID-OCA566>3.0.CO;2-D ↗
7. Baz, A., Ro, J.: Optimum design and control of active constrained layer damping. ASME J. Vibr. Acoust. 117B, 135–144 (1995)10.1115/1.2838655 ↗
8. Bennet, J., Hayward, G.: Design of 1-3 piezoelectric composite hydrophones using finite element analysis. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 44, 565–574 (1997)10.1109/58.658308 ↗
9. Bent, A.A., Hagood, N.W.: Piezoelectric fiber composites with interdigitated electrodes. Int. J. Intell. Mater. Syst. Struct. 8, 903–919 (1997)10.1177/1045389X9700801101 ↗
10. Benveniste, Y., Dvorak, G.J.: Uniform fields and universal relations in piezoelectric composites. J. Mech. Phys. Solids 40(6), 1295–1312 (1992)10.1016/0022-5096(92)90016-U ↗
11. Chantalakhana, C., Stanway, R.: Active constrained layer damping of clamped–clamped plate vibrations. J. Sound Vibr. 241(5), 755–777 (2001)10.1006/jsvi.2000.3317 ↗
12. Crawley, E.F., Luis, J.D.: Use of piezoelectric actuators as elements of intelligent structures. AIAA J. 25(10), 1373–1385 (1987)10.2514/3.9792 ↗
13. Devasia, S., Tesfay, M., Paden, B., Bayo, E.: Piezoelectric actuator design for vibration suppression: placement and sizing. J. Guid. Control Dynam. 16, 859–864 (1993)10.2514/3.21093 ↗
14. Dong, S., Tong, L.: Vibration control of plates using discretely distributed piezoelectric quasi-modal actuators/sensors. AIAA J. 39, 1766–1772 (2001)10.2514/2.1507 ↗
15. Dunn, M.L., Taya, M.: Micromechanics predictions of the effective electroelastic modulli of piezoelectric composites. Int. J. Solids Struct. 30, 161–175 (1993)10.1016/0020-7683(93)90058-F ↗
16. Gandhi, F., Munskey, B.E.: Comparison of damping augmentation mechanisms with position and velocity feedback in active constrained layer treatments. J. Intell. Mater. Syst. Struct. 13(5), 326–335 (2002)10.1177/104538902761696788 ↗
17. Gu, Y., Clark, R.L., Fuller, C.R.: Experiments on active control of plate vibration using piezoelectric actuators and Polyvinylidyne Fluoride (PVDF) modal sensors. ASME J. Vibr. Acoust. 116, 303–308 (1994)10.1115/1.2930429 ↗
18. Hanagud, S., Obal, M.W., Calise, A.J.: Optimal vibration control by the use of piezoceramic sensors and actuators. J. Guid. Control Dynam. 15(5), 1199–1206 (1992)10.2514/3.20969 ↗
19. Hehl, F.W., Obukhov, Y.N.: Foundations of Classical Electrodynamics, pp. 136–139. Birkhäuser, Boston (2003)10.1007/978-1-4612-0051-2 ↗
20. Hill, R.: Theory of mechanical properties of fiber-strengthened materials – I. Elastic behavior. J. Mech. Phys. Solids 12(2), 199–212 (1964)10.1016/0022-5096(64)90019-5 ↗
21. Jeung, Y.S., Shen, I.Y.: Development of isoparametric, degenerate constrained layer element for plate and shell structures. AIAA J. 39(10), 1997–2005 (2001)10.2514/2.1192 ↗
22. Lee, C.K., Chiang, W.W., Sulivan, O.: Piezoelectric modal sensor/actuator pairs for critical active damping vibration control. J. Acoust. Soc. Am. 90(1), 374–384 (1991)10.1121/1.401260 ↗
23. Liu, Y., Wang, K.-W.: Enhanced active constrained layer damping treatment for broadband vibration suppression. J. Vibr. Control 8, 777–803 (2002)10.1177/1077546029202 ↗
24. Mallik, N., Ray, M.C.: Effective coefficients of piezoelectric fiber-reinforced composites. AIAA J. 41(4), 704–710 (2003)10.2514/2.2001 ↗
25. Ray, M.C.: Optimal control of laminated plates with piezoelectric sensor and actuator layers. AIAA J. 36(12), 2204–2208 (1998)10.2514/2.345 ↗
26. Ray, M.C.: Optimal control of laminated shells with piezoelectric sensor and actuator layers. AIAA J. 41(6), 1151–1157 (2003)10.2514/2.2058 ↗
27. Ray, M.C., Baz, A.: Optimization of energy dissipation of active constrained layer damping treatments of plates. J. Sound Vibr. 208, 391–406 (1997)10.1006/jsvi.1997.1171 ↗
28. Ray, M.C., Baz, A.: Control of nonlinear vibration of beams using active constrained layer damping treatment. J. Vibr. Control 7, 539–549 (2001)10.1177/107754630100700404 ↗
29. Ray, M.C., Reddy, J.N.: Optimal control of thin circular cylindrical shells using active constrained layer damping treatment. Smart Mater. Struct. 13(1), 64–72 (2004)10.1088/0964-1726/13/1/008 ↗
30. Ray, M.C., Bhattacharyya, R., Samanta, B.: Exact solutions for static analysis of intelligent structures. AIAA J. 31(9), 1684–1691 (1993)10.2514/3.11831 ↗
31. Ray, M.C., Oh, J., Baz, A.: Active constrained layer damping of thin cylindrical shells. J. Sound Vibr. 240(5), 921–935 (2001)10.1006/jsvi.2000.3287 ↗
32. Ro, J., Baz, A.: Optimum placement and control of active constrained layer damping using modal strain energy approach. J. Vibr. Control 8, 861–876 (2002)10.1177/107754602029204 ↗
33. Ruan, X., Chou, T.W.: A 3-D connectivity model for effective piezoelectric properties of yarn composites. J. Comp. Mater. 36(14), 1693–1708 (2002)10.1177/0021998302036014164 ↗
34. Sigmund, O., Torquato, S., Aksay, I.A.: On the design of 1-3 piezocomposite using topology optimization. J. Mater. Res. 13, 1038–1048 (1998)10.1557/JMR.1998.0145 ↗
35. Smith, W.A., Auld, B.A.: Modeling 1-3 composite piezoelectrics: thickness mode oscillations. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 31(1), 40–47 (1991)10.1109/58.67833 ↗
36. Stöbener, U., Gaul, L.: Modal vibration control for PVDF coated plates. J. Intell. Mater. Syst. Struct. 11(4), 283–293 (2000)10.1106/3KFM-DY38-KYG4-FVV5 ↗
37. Tan, P., Tong, L.: A microelectromechanics model for 3-D PFRC materials. J. Comp. Mater. 36(2), 127–141 (2002)10.1177/0021998302036002304 ↗
38. Tzou, H.S., Tseng, C.I.: Distributed piezoelectric sensor/actuator design for dynamic measurement/control of distributed parameter systems: a piezoelectric finite element approach. J. Sound Vibr. 138(1), 17–34 (1990)10.1016/0022-460X(90)90701-Z ↗
39. Varadan, V.V., Kim, J., Varadan, V.K.: Optimal placement of piezoelectric actuators for active noise control. AIAA J. 35, 526–533 (1997)10.2514/2.126 ↗
40. Zhou, R.C., Lai, Z., Xue, D.Y., Huang, J.K., Mei, C.: Suppression of nonlinear panel flutter with piezoelectric actuators using finite element method. AIAA J. 6, 1098–1105 (1995)10.2514/3.12530 ↗