A unified formulation to assess multilayered theories for piezoelectric plates

Computers and Structures

Volumn 83, Issue 15-16, 2005, Pages 1217-1235

  Ballhause, D ^a   D'Ottavio, M ^a   Kroplin B ^a   Carrera, E ^b  

^a UNIVERSITY OF STUTTGART   (Germany)

^b POLITECNICO DI TORINO   (Italy)

Author keywords

Closed form solution; Higher order formulations; Model assessment; Multilayered plates; Piezoelectric composites

Indexed keywords

COUPLINGS; ELECTRIC FIELDS; ELECTRIC POTENTIAL; INTEGRATION; INTELLIGENT STRUCTURES; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PIEZOELECTRICITY;

CLASSICAL CONTROL THEORY (CLT); CLOSED-FORM SOLUTIONS; HIGHER-ORDER FORMULATIONS; MODEL ASSESSMENT; MULTILAYERED PLATES; PIEZOELECTRIC COMPOSITES; PRINCIPLE OF VIRTUAL DISPLACEMENT (PVD);

PLATES (STRUCTURAL COMPONENTS);

EID: 17044367889     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2004.09.015     Document Type: Article

References (23)

1. J. Curie, and P. Curie Comptes Rendus 91 1880 294 295
2. S. Rao, and M. Sunar Piezoelectricity and its use in disturbance sensing and control of flexible structures: a survey Appl Mech Rev 47 4 1994 113 123
3. Chopra I. State-of-the-art of smart structures and integrated systems. In: SPIE smart structures materials conference SPIE, vol. 2717, 1996. p. 20-62
4. J. Tani, T. Takagi, and J. Qiu Intelligent materials systems: application of functional materials Appl Mech Rev 51 8 1998 505 521
5. M. Sunar, and S. Rao Recent advances in sensing and control of flexible structures via piezoelectric materials technology Appl Mech Rev 52 1 1999 1 16
6. E. Carrera Historical review of zig-zag theories for multilayered plates and shells Appl Mech Rev 56 2003 287 308
7. H. Tiersten Linear piezoelectric plate vibrations 1969 Plenum New York
8. R. Mindlin High frequency vibrations of piezoelectric crystal plates Int J Solids Struct 8 1972 895 906
9. J. Yang, and J. Yu Equations for laminate piezoelectric plates Arch Mech 45 1993 653
10. J. Mitchell, and J. Reddy A refined hybrid plate theory for composite laminates with piezoelectric laminae Int J Solids Struct 32 16 1995 2345 2367
11. J. Reddy Mechanics of laminated composite plates: theory and analysis 1996 CRC Press Inc.
12. A. Benjeddou, and J.-F. Deü A two-dimensional closed-form solution for the free-vibrations analysis of piezoelectric sandwich plates Int J Solids Struct 39 2001 1463 1486
13. M. Touratier, and C. Ossadzow-David Multilayered piezoelectric refined plate theory AIAA J 41 1 2003 90 99
14. D. Saravanos, and P. Heyliger Mechanics and computational models for laminated piezoelectric beams, plates and shells Appl Mech Rev 52 10 1999 305 320
15. A. Benjeddou Advances in piezoelectric finite element modeling of adaptive structural elements: a survey Comput Struct 76 1-3 2000 347 363
16. E. Carrera A class of two dimensional theories for multilayered plates analysis, Atti Accademia delle Scienze di Torino Mem Sci Fis 19-20 1995 49 87
17. E. Carrera Developments, ideas and evaluations based upon Reissner's mixed variational theorem in the modeling of multilayered plates and shells Appl Mech Rev 54 4 2001 301 329
18. E. Carrera Theories and finite elements for multilayered, anisotropic composite plates and shells Arch Comput Methods Eng State of the art Rev 9 2002 87 140
19. E. Carrera Theories and finite elements for multilayered plates and shells: a unified compact formulation Arch Comput Methods Eng, State of the art Rev 10 3 2003 215 296
20. H. Murakami Laminated composite plate theory with improved in-plane response J Appl Mech 53 1986 661 666
21. A.N.S. Institute, IEEE standard on piezoelectricity
22. P. Heyliger, and D. Saravanos Exact free-vibration analysis of laminated plates with embeded piezoelectric layers J Acoust Soc Am 98 3 1995 1547 1557
23. P. Heyliger Static behavior of laminated elastic/piezoelectric plates AIAA J 32 12 1994 2481 2484