Asymptotical construction of a fully coupled, Reissner-Mindlin model for piezoelectric composite plates

Smart Materials and Structures

Volumn 17, Issue 1, 2008, Pages

  Liao, Lin ^a   Yu, Wenbin ^a  

^a Utah State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC ANALYSIS; ELECTROCHEMICAL ELECTRODES; MATHEMATICAL MODELS; PLATES (STRUCTURAL COMPONENTS); THICKNESS MEASUREMENT; TWO DIMENSIONAL;

ASYMPTOTICAL CONSTRUCTION; NUMERICAL EXAMPLES; PIEZOELECTRIC COMPOSITE PLATES; REISSNER-MINDLIN MODELS;

PIEZOELECTRIC CERAMICS;

EID: 41849129202     PISSN: 09641726     EISSN: 1361665X     Source Type: Journal    
DOI: 10.1088/0964-1726/17/01/015010     Document Type: Article

References (50)

1. Saravanos D A and Heyliger P R 1999 Mechanics and computational models for laminated piezoelectric beams, plates, and shells Appl. Mech. Rev. 52 305-19
2. Tiersten H F 1969 Linear Piezoelectric Plate Vibrations-Elements of the Linear Theory of Piezoelectricity and the Vibrations of Piezoelectric Plates (New York: Plenum)
3. Ray M C, Rao K M and Samanta B 1992 Exact analysis of coupled electroelastic behavior of a piezoelectric plate under cylindrical bending Comput. Struct. 45 667-77
4. Heyliger P R and Brooks S 1996 Exact solutions for laminated piezoelectric plates in cylindrical bending J. Appl. Mech. 63 903-10
5. Vel S S and Batra R C 2001 Exact solution for the cylindrical bending of laminated plates with embedded piezoelectric shear actuators Smart Mater. Struct. 10 240-51
6. Xu K M, Noor A K and Tang Y 1995 Three-dimensional solutions for coupled thermoelectroelastic response of multilayered plates Comput. Methods Appl. Mech. Eng. 126 355-71
7. Heyliger P R and Saravanos D A 1995 Exact free-vibration analysis of laminated plates with embedded piezoelectric layers J. Acoust. Soc. Am. 98 1547-57
8. Bisegna P and Maceri F 1996 An exact three-dimensional solution for simply supported rectangular piezoelectric plates J. Appl. Mech. 63 628-38
9. Barta R C, Liang X Q and Yang J S 1996 The vibration of a simply supported rectangular elastic plate due to piezoelectric actuators Int. J. Solids Struct. 33 1597-618
10. Allik H and Hughes T J R 1970 Finite element method for piezoelectric vibration Int. J. Numer. Methods Eng. 2 151-7
11. Crawley E F and Lazarus K B 1991 Induced strain actuation of isotropic and anisotropic plates AIAA J. 29 944-51
12. Wang B T and Rogers C A 1991 Laminate plate theory for spatially distributed induced strain actuators J. Compos. Mater. 25 433-52
13. Pai P F, Nayfeh A H, Oh K and Mook D T 1993 Refined nonlinear model of composite plates with integrated piezoelectric actuators and sensors Int. J. Solids Struct. 30 1603-30
14. Icardi U and Sciuva M D 1996 Large-deflection and stress analysis of multilayered plates with induced-strain actuators Smart Mater. Struct. 5 140-64
15. Hong C H and Chopra I 1999 Modeling and validation of induced strain actuation of composite coupled plates AIAA J. 37 372-7
16. Ha S K, Keilers C and Chang F K 1992 Finite element analysis of composite structures containing distributed piezoceramic sensors and actuators AIAA J. 30 772-80
17. Detwiler D T, Shen M H H and Venkayya V B 1995 Finite-element analysis of laminated composite structures containing distributed piezoelectric actuators and sensors Finite Elem. Anal. Des. 20 87-100
18. Suleman A and Venkayya V B 1995 A simple finite element formulation for a laminated composite plate with piezoelectric layers J. Intell. Mater. Syst. and Struct. 6 776-82
19. Wang J, Yong Y K and Imai T 1999 Finite element analysis of the piezoelectric vibrations of quartz plate resonators with higher-order plate theory Int. J. Solids Struct. 36 2303-19
20. Krommer M and Irschik H 2000 A Reissner-Mindlin-type plate theory including the direct piezoelectric and the pyroelectric effect Acta Mech. 141 51-69
21. Wang J and Yang J 2000 Higher-order theories of piezoelectric plates and applications Appl. Mech. Rev. 53 87-99
22. Wang Q, Quek S T, Sun C T and Liu X 2001 Analysis of piezoelectric coupled circular plate Smart Mater. Struct. 10 229-39
23. Qu Z 2001 An efficient modelling method for laminated composite plates with piezoelectric sensors and actuators Smart Mater. Struct. 10 807-18
24. Ray M C, Bhattacharya R and Samanta B 1994 Static analysis of an intelligent structure by the finite-element method Comput. Struct. 52 617-31
25. Yu J Y, Kang W Y and Kim S J 1995 Elastic tailoring of laminated composite plate by anisotropic piezoelectric polymers-theory, computation, and experiment J. Compos. Mater. 29 1201-21
26. Kapuria S, Dube G P and Dumir P C 2003 First-order shear deformation theory solution for a circular piezoelectric composite plate under axisymmetric load Smart Mater. Struct. 12 417-23
27. Saravanos D, Heyliger P and Hopkins D 1997 Layerwise mechanics and finite element for the dynamic analysis of piezoelectric composite plates Int. J. Solids Struct. 34 359-78
28. Chattopadhyay A, Li J and Gu H 1999 Coupled thermo-piezoelectric- mechanical model for smart composite laminates AIAA J. 37 1633-8
29. Cho M and Oh J 2004 Higher order zig-zag theory for fully coupled thermo-electric-mechanical smart composite plates Int. J. Solids Struct. 41 1331-56
30. Oh J and Cho M 2004 A finite element based on cubic zig-zag plate theory for the prediction of thermo-electric-mechanical behaviors Int. J. Solids Struct. 41 1357-75
31. Oh J, Cho M and Kim J 2007 Enhanced lower-order shear deformation theory for fully coupled electro-thermo-mechanical smart laminated plates Smart Mater. Struct. 16 2229-41
32. Maugin G A and Attou D 1990 Asymptotic theory of thin piezoelectric plates Q. J. Mech. Appl. Math. 43 347-62
33. Rahmoune M, Benjeddou A, Ohayon R and Osmont D 2000 New thin piezoelectric plate models J. Intell. Mater. Syst. Struct. 9 1017-29
34. Cheng Z Q and Batra R C 2000 Three-dimensional asymptotic analysis of multiple-electroded piezoelectric laminates AIAA J. 38 317-24
35. Cheng Z Q, Lim C W and Kitipornchai S 2000 Three-dimensional asymptotic approach to inhomogeneous and laminated piezoelectric plates Int. J. Solids Struct. 37 3153-75
36. Kalamkarov A L and Kolpakov A G 2001 A new asymptotic model for a composite piezoelastic plate Int. J. Solids Struct. 38 6027-44
37. Sene A 2001 Modelling of piezoelectric static thin plates Asymptotic Anal. 25 1-20
38. Figueiredo I and Leal C 2005 A piezoelectric anisotropic plate model Asymptotic Anal. 44 327-46
39. Huang J H and Wu T 1996 Analysis of hybrid multilayered piezoelectric plates Int. J. Eng. Sci. 34 171-81
40. Kapuria S, Dube G, Dumir P and Sengupta S 1997 Levy-type piezothermoelastic solution for hybrid plate by using first-order shear deformation theory Composites B 28 535-46
41. Kapuria S and Dumir P 2000 Coupled FSDT for piezothermoelectric hybrid rectangular plate Int. J. Solids Struct. 37 6131-53
42. Yu W, Hodges D H and Volovoi V V 2002 Asymptotic construction of Reissner-like models for composite plates with accurate strain recovery Int. J. Solids Struct. 39 5185-203
43. Yu W, Hodges D H and Volovoi V V 2003 Asymptotically accurate 3D recovery from Reissner-like composite plate finite elements Comput. Struct. 81 439-54
44. Yu W 2005 Mathematical construction of a Reissner-Mindlin plate theory for composite laminates Int. J. Solids Struct. 42 6680-99
45. Yu W and Hodges D H 2004 A simple thermopiezoelastic model for composite plates with accurate stress recovery Smart Mater. Struct. 13 926-38
46. Berdichevsky V L 1979 Variational-asymptotic method of constructing a theory of shells Prikl. Mat. Mekh. 43 664-87
47. Danielson D A 1991 Finite rotation with small strain in beams and plates Proc. 2nd Pan American Congress of Applied Mechanics (Valparaiso, Chile Jan. 1991)
48. Le K C 1999 Vibrations of Shells and Rods 1st edn (Germany: Springer)
49. Ballhause D, D'Ottavio M, Kroplin B and Carrera E 2005 A unified formulation to assess multilayered theories for piezoelectric plates Comput. Struct. 83 1217-35
50. Heyliger P 1994 Static behavior of laminated elastic/piezoelectric plates AIAA J. 32 2481-4