Developments in thermopiezoelasticity with relevance to smart composite structures

Composite Structures

Volumn 48, Issue 1, 2000, Pages 31-38

  Tauchert, T R ^a   Ashida, F ^b   Noda, N ^c   Adali, S ^d   Verijenko, V ^d  

^a UNIVERSITY OF KENTUCKY   (United States)

^b SHIMANE UNIVERSITY   (Japan)

^c SHIZUOKA UNIVERSITY   (Japan)

^d UNIVERSITY OF KWAZULU NATAL   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; ELECTRIC POTENTIAL; INTELLIGENT STRUCTURES; PIEZOELECTRIC MATERIALS; PLATES (STRUCTURAL COMPONENTS); SENSORS; SHELLS (STRUCTURES); STRUCTURAL ANALYSIS; THERMAL STRESS; THERMOELASTICITY;

SMART COMPOSITE STRUCTURES; THERMOPIEZOELASTICITY;

COMPOSITE STRUCTURES;

EID: 0033877073     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0263-8223(99)00070-7     Document Type: Article

References (62)

1. G.A. Altay M.C. Dokmeci Fundamental variational equations of discontinuous thermopiezoelectric fields Internat J Engrg Sci 34 1996 769 782
2. Ashida F. Control of thermally induced elastic displacement of an isotropic plate associated with two piezoelectric ceramic plates. In: Proceedings of the International Conference on Materials and Mechanics ’97 (JSME) 1997:573–574
3. F Ashida J.-S. Choi N Noda An inverse thermoelastic problem in an isotropic plate associated with a piezoelectric ceramic plate J Thermal Stresses 19 1996 153 167
4. F Ashida N Noda Control of transient thermoelastic displacement of an isotropic plate associated with a piezoelectric plate J Thermal Stresses 20 1997 407 427
5. F.A. Ashida N Noda T.R. Tauchert A two-dimensional piezothermoelastic problem in an orthotropic plate exhibiting crystal class mm2 JSME Int J Series A 37 1994 334 340
6. F.A. Ashida N Noda T.R. Tauchert Inverse problem of two-dimensional piezothermoelasticity in an orthotropic plate exhibiting crystal class mm2 JSME Int J Series A 37 1994 341 346
7. F.A. Ashida N Noda T.R. Tauchert Solution method for two-dimensional piezothermoelastic problem of orthotropic solids Trans Japan Soc Mech Engrg 560 1993 64 68
8. F.A. Ashida T.R. Tauchert An inverse problem for determination of transient surface temperature from piezoelectric sensor measurement J Appl Mech 65 1998 367 373
9. F.A. Ashida T.R. Tauchert Temperature determination for a contacting body based on an inverse piezothermoelastic problem Internat J Solids and Structures 34 1997 2549 2561
10. F.A. Ashida T.R. Tauchert Transient response of a piezothermoelastic circular disk under axisymmetric heating Acta Mechanica 128 1998 1 14
11. F.A. Ashida T.R. Tauchert A finite difference scheme for inverse transient piezothermoelasticity problems J Thermal Stresses 21 1998 271 293
12. F.A. Ashida T.R. Tauchert N Noda A general solution technique for piezothermoelasticity of hexagonal solids of class 6mm in Cartesian coordinates Z Angewandte Mathematik und Mechanik 74 1994 87 95
13. F.A. Ashida T.R. Tauchert N Noda Potential function method for piezothermoelastic problems of solids of crystal class 6mm in cylindrical coordinates J Thermal Stresses 17 1994 361 375
14. F.A. Ashida T.R. Tauchert N Noda Response of a piezothermoelastic plate of crystal class 6mm subject to axisymmetric heating Internat J Engrg Sci 31 1993 373 384
15. Bert CW, Birman V. Stress dependency of the thermoelastic and piezoelectric coefficients. Analysis and Design Issues for Modern Aerospace Vehicles – AD, ASME, 1997;55:265–269
16. V Birman Effect of temperature on accurate interpretation of data from piezoelectric sensors Proceedings of the 10th ASCE Engineering Mechanics Conference 2 1995 762 765
17. Birman V, Saravanos DA, Hopkins DA. Sensory composite beams for delamination detection in thermal environments. Adaptive Structures and Composite Materials: Analysis and Application, ASME AD45, 1994:351–358
18. Blandford GE, Tauchert TR, Du Y. Self-strained piezothermoelastic composite beam analysis using first-order shear deformation theory. Composites Engineering – Part B, 1999;30:51–63
19. D.S. Chandrasekharaiah A generalized linear theory for piezoelectric media Acta Mechanica 71 1988 39 49
20. C.-Q. Chen Y.-P. Shen Piezothermoelasticity analysis for a circular cylindrical shell under a state of axisymmetric deformation Internat J Engrg Sci 34 1996 1585 1600
21. J Choi F Ashida N Noda Transient piezothermoelasticity of a hexagonal plate of class 6mm Archive of Appl Mech 65 1995 24 37
22. J.-S. Choi F Ashida N Noda Control of thermally induced elastic displacement of an isotropic structural plate bonded to a piezoelectric ceramic plate Acta Mechanica 122 1997 49 63
23. G.P. Dube S Kapuria P.C. Dumir Exact piezothermoelastic solution of simply-supported orthotropic flat panel in cylindrical bending Int J Mech Sci 38 1996 1161 1177
24. D Iesan On some theorems in piezothermoelectricity J Thermal Stresses 12 1989 209 223
25. Irschik H, Belyaev AK, Krommer M, Schlacher K. Non-uniqueness of two inverse problems of thermally and force-loaded smart structures: Sensor shaping and actuator shaping problem, Analysis and Design Issues for Modern Aerospace Vehicles – AD, ASME 1997;55:119–131
26. K.D. Jonnalagadda G.E. Blandford T.R. Tauchert Piezothermoelastic composite plate analysis using first-order shear deformation theory Computers and Structures 51 1994 79 89
27. Jonnalagadda KD, Tauchert TR, Blandford GE. High-order displacement formulation for a piezothermoelastic laminate, Mechanics of Electromagnetic Materials and Structures – AMD Vol. 161, MD Vol. 42, ASME, 1993;145–159
28. V.K. Kalpakidis C.V. Massalas Tiersten’s theory of thermoelectroelasticity: an extension Internat J Engrg Sci 31 1993 157 164
29. S Kapuria G.P. Dube P.C. Dumir Exact piezothermoelastic solution for simply supported laminated flat panel in cylindrical bending Z Mathematik und Mechanik 77 1997 281 294
30. S Kapuria P.C. Dumir S Sengupta Nonaxisymmetric exact piezothermoelastic solution for laminated cylindrical shell AIAA J 35 1975 1792 1795
31. S Kapuria P.C. Dumir S Sengupta Exact piezothermoelastic axisymmetric solution of a finite transversely isotropic cylindrical shell Computers and Structures 61 1996 1085 1099
32. S Kapuria S Sengupta P.C. Dumir Three-dimensional piezothermoelastic solution for shape control of cylindrical panel J Thermal Stresses 20 1997 67 85
33. H.-J. Lee D.A. Saravanos Coupled layerwise analysis of thermopiezoelectric composite beams AIAA J 34 1996 1231 1237
34. H.-J. Lee D.A. Saravanos Generalized finite element formulation for smart multilayered thermal piezoelectric composite plates Internat J Solids and Structures 34 1997 3355 3371
35. Lee H-J, Saravanos DA. Thermal shape control of active and sensory piezoelectric composite plates. Analysis and Design Issues for Modern Aerospace Vehicles – AD, 55, ASME 1997:249–257
36. R.D. Mindlin Equations of high frequency vibrations of thermopiezoelectric crystal plates Internat J Solids and Structures 10 1974 625 637
37. Noda N, Kimura S. Deformation of piezothermoelastic composite plate considering coupling effect. In: Proceedings of the International Conference on Materials and Mechanics ’97 (JSME) 1997:571–572
38. J.P. Nowacki Steady-state problems of thermopiezoelectricity J Thermal Stresses 5 1982 183 194
39. W Nowacki Some general theorems of thermopiezoelectricity J Thermal Stresses 1 1978 171 182
40. Nowacki W. Thermoelasticity of anisotropic and piezoelectric bodies. In: Dynamic Problems of Thermoelasticity, Ch. 5, Leiden:Noordhoff, 1975
41. S.S. Rao M Sunar Analysis of distributed thermopiezoelectric sensors and actuators in advanced intelligent structures AIAA J 31 1993 1280 1286
42. Reddy JN, Mitchell JA. On refined nonlinear theories of laminated composite structures with piezoelectric laminae. SADHANA (J Indian Academy of Sciences), 1994
43. Reddy JN, Refined theories and computational procedures for the modelling of smart composite structures. Composite Science and Technology (Proceedings of the First International Conference on Composite Science and Technology) 1996:421–429
44. Y.C. Shen C.I. Weng Deformation control of laminated composite plate containing piezoelectric layers under thermal loading J Thermal Stresses 18 1995 449 464
45. M Sunar S.S. Rao Thermopiezoelectric control design and actuator placement AIAA J 35 1997 534 539
46. Y.Y. Tang A.K. Noor K Xu Assessment of computational models for thermoelectroelastic multilayered plates Computers and Structures 61 1996 915 933
47. Y.Y. Tang K Xu Dynamic analysis of a piezothermoelastic laminated plate J Thermal Stresses 18 1995 87 104
48. T.R. Tauchert Piezothermoelastic behavior of a laminated plate J Thermal Stresses 15 1992 25 37
49. T.R. Tauchert Cylindrical bending of hybrid laminates under thermo-electro-mechanical loading J Thermal Stresses 19 1996 287 296
50. T.R. Tauchert Plane piezothermoelastic response of a hybrid laminate – a benchmark problem Composite Structures 39 1997 329 336
51. Tauchert TR, Adali S, Verijenko VE, Richter AA. Minimum deflection design of piezothermoelastic laminated composite plates. Analysis and Design Issues for Modern Aerospace Vehicles – AD, ASME, 1997;55:259–64
52. Tauchert TR, Ashida F, Noda N. Recent developments in piezothermoelasticity: inverse problems relevant to smart structures. In: Proceedings of the International Conference on Materials and Mechanics ’97 (JSME) 1997:3–8
53. H.F. Tiersten On the nonlinear equations of thermoelectroelasticity Internat J Engrg Sci 9 1971 587 604
54. H.S. Tzou Y Bao Nonlinear piezothermoelasticity and multi-field actuations, part 1: nonlinear anisotropic piezothermoelastic shell laminates J Vibration and Acoustics 119 1997 374 381
55. Tzou HS, Bao Y. Spatially filtered multi-field responses of piezothermoelastic cylindrical shell composites. J. Struct Engrg Mech 1996;4
56. H.S. Tzou R.V. Howard A piezothermoelastic thin shell theory applied to active structures J Vibration and Acoustics 116 1994 295 302
57. H.S. Tzou R Ye Piezothermoelasticity and precision control of piezoelectric systems: theory and finite element analysis J Vibration and Acoustics 116 1994 489 495
58. H.S. Tzou Y.H. Zhou Nonlinear piezothermoelasticity and multi-field actuations, part 2: control of nonlinear deflection, buckling and dynamics J Vibration and Acoustics 119 1997 382 389
59. K Xu A.K. Noor Three-dimensional analytical solutions for coupled thermoelectroelastic response of multilayered cylindrical shells AIAA J 34 1996 802 812
60. K Xu A.K. Noor Y.Y. Tang Three-dimensional solutions for coupled thermoelectroelastic response of multilayered plates Computer Meth Appl Mech Engrg 126 1995 355 371
61. K Xu A.K. Noor W.S. Burton 3D solutions for free vibration of initially stressed thermoelectroelastic multilayered cylinders J Engrg Mech 123 1997 45 51
62. Xu Y, Tauchert TR, Blandford GE. Piezothermoelastic analysis of an antisymmetric, angle-ply laminate using a high-order displacement formulation. Composite Materials and Structures – AD, 37, AMD, 179, ASME, 1993;89–102