Recent developments in piezothermoelasticity : Inverse problems relevant to smart structures

JSME International Journal, Series A: Solid Mechanics and Material Engineering

Volumn 42, Issue 4, 1999, Pages 452-458

  Tauchert, Theodore R ^a   Ashida, Fumihiro ^b   Noda, Naotake ^c  

^a UNIVERSITY OF KENTUCKY   (United States)

^b SHIMANE UNIVERSITY   (Japan)

^c SHIZUOKA UNIVERSITY   (Japan)

Author keywords

Piezoelectric; Potential Functions; Smart Structures; Thermoelastic

Indexed keywords

BEAMS AND GIRDERS; INTELLIGENT STRUCTURES; INVERSE PROBLEMS; NONLINEAR EQUATIONS; PIEZOELECTRICITY; PLATES (STRUCTURAL COMPONENTS); SHELLS (STRUCTURES);

PIEZOTHERMOELASTICITY; POTENTIAL FUNCTION;

THERMOELASTICITY;

EID: 0033337899     PISSN: 13447912     EISSN: None     Source Type: Journal    
DOI: 10.1299/jsmea.42.452     Document Type: Article

References (31)

1. Tiersten, H.F., On the Nonlinear Equations of Thermoelectroelasticity, Int. J. Eng. Sci., Vol. 9 (1971), p. 587.
2. Mindlin, R.D., Equations of High Frequency Vibrations of Thermopiezoelectric Crystal Plates, Int. J. Solids Struct., Vol. 10 (1974), p. 625.
3. Nowacki, W., Some General Theorems of Thermopiezoelectricity, J. Thermal Stresses, Vol. 1 (1978), p. 171.
4. Nowacki, J.P., Steady-State Problems of Thermopiezoelectricity, J. Thermal Stresses, Vol. 5 (1982), p. 183.
5. Chandrasekharaiah, D.S., A Generalized Linear Thermoelasticity Theory for Piezoelectric Media, Acta Mech., Vol. 71 (1988), p. 39.
6. Iesan, D., On Some Theorems in Piezothermoelectricity, J. Thermal Stresses, Vol. 12 (1989), p. 209.
7. Altay, G.A. and Dokmeci, M.C., Fundamental Variational Equations of Discontinuous Thermopiezoelectric Fields, Int. J. Eng. Sci., Vol. 34 (1996), p. 769.
8. Ashida, F., Tauchert, T.R. and Noda, N., A General Solution Technique for Piezothermoelasticity of Hexagonal Solids of Crystal Class 6mm in Cartesian Coordinates, ZAMM, Vol. 74 (1994), p. 87.
9. Ashida, F., Noda, N. and Tauchert, T. R., A Two-Dimensional Piezothermoelastic Problem in an Orthotropic Plate Exhibiting Crystal Class mm2, JSME Int. J. Ser. A, Vol. 37, No. 4 (1994), p. 334.
10. Ashida, F., Tauchert, T.R. and Noda, N., Potential Function Method for Piezothermoelastic Problems of Solids of Crystal Class 6mm in Cylindrical Coordinates, J. Thermal Stresses, Vol. 17 (1994), p. 361.
11. Choi, J., Ashida, F. and Noda, N., Transient Piezothermoelasticity of a Hexagonal Plate of Class 6mm, Arch. Appl. Mech., Vol. 65 (1995), p. 24.
12. Ashida, F. and Tauchert, T.R., Transient Response of a Piezothermoelastic Circular Disk under Axisymmetric Heating, Acta Mech., Vol. 128 (1998), p. 1.
13. Chen, C.Q. and Shen, Y.P., Piezothermoelasticity Analysis for a Circular Cylindrical Shell under a State of Axisymmetric Deformation, Int J. Eng. Sci., Vol. 34 (1996), p. 1585.
14. Dube, G.P., Kapuria, S. and Dumir, P.C., Exact Piezothermoelastic Solution of Simply-Supported Orthotropic Flat Panel in Cylindrical Bending, Int. J. Mech. Sci., Vol. 138 (1996), p. 1161.
15. Jonnalagadda, K. D., Blandford, G.E. and Tauchert, T.R., Piezothermoelastic Composite Plate Analysis Using First-Order Shear Deformation Theory, Comput. Struct., Vol. 51 (1994), p. 79.
16. Kapuria, S., Sengupta, S. and Dumir, P.C., Three-Dimensional Piezothermoelastic Solution for Shape Control of Cylindrical Panel, J. Thermal Stresses, Vol. 20 (1997), p. 67.
17. Lee, H.J. and Saravanos, D.A., Coupled Layerwise Analysis of Thermopiezoelectric Composite Beams, AIAA J, Vol. 34 (1996), p. 1231.
18. Rao, S.S. and Sunar, M., Analysis of Distributed Thermopiezoelectric Sensors and Actuators in Advanced Intelligent Structures, AIAA J., Vol. 31 (1993), p. 1280.
19. Reddy, J.N., Refined Theories and Computational Procedures for the Modeling of Smart Composite Structures. Proc. 1st Int. Conf. on Compos. Sci. Techn., (1996), p. 421.
20. Shen, Y.C. and Weng, C.I., Deformation Control of Laminated Composite Plate Containing Piezoelectric Layers under Thermal Loading, J. Thermal Stresses, Vol. 18 (1995), p. 449.
21. Tauchert, T.R., Piezothermoelastic Behavior of a Laminated Plate, J. Thermal Stresses, Vol. 15 (1992), p. 25.
22. Tauchert, T.R., Cylindrical Bending of Hybrid Laminates under Thermo-Elecro-Mechanical Loading, J. Thermal Stresses, Vol. 19 (1996), p. 287.
23. Tzou, H.S. and Ye, R., Piezothermoelasticity and Precision Control of Piezoelectric Systems: Theory and Finite Element Analysis, J. Vibr. Acoust., Vol. 116 (1994), p. 489.
24. Xu, K. and Noor, A.K., Three-Dimensional Analytical Solutions for Coupled Thermoelectroelastic Response of Multilayered Cylindrical Shells, AIAA J., Vol. 34 (1996), p. 802.
25. Xu, K., Noor, A.K. and Tang, Y.Y., Three-Dimensional Solutions for Coupled Thermoelectroelastic Response of Multilayered Plates, Comput. Meth. Appl. Mech. Eng., Vol. 126 (1995), p. 355.
26. Ashida, F., Tauchert, T.R. and Noda, N., Response of a Piezothermoelastic Plate of Crystal Class 6mm Subject to Axisymmetric Heating, Int. J. Eng. Sci., Vol. 31 (1993), p. 373.
27. Ashida, F., Noda, N. and Tauchert, T.R., Inverse Problem of Two-Dimensional Piezothermoelasticity in an Orthotropic Plate Exhibiting Crystal Class mm2, JSME Int. J. Ser. A, Vol. 37, No. 4 (1994), p. 341.
28. Ashida, F. and Tauchert, T.R., Temperature Determination for a Contacting Body Based on an Inverse Piezothermoelastic Problem, Int. J. Solids Struct., Vol. 34 (1997), p. 2549.
29. Ashida, F. and Tauchert, T.R., An Inverse Problem for Determination of Transient Surface Temperature from Piezoelectric Sensor Measurement, J. Appl. Mech., Vol. 65 (1998), p. 367.
30. Ashida, F., Choi, J.S. and Noda, N., An Inverse Thermoelastic Problem in an Isotropic Plate Associated with a Piezoelectric Ceramic Plate, J. Thermal Stresses, Vol. 19 (1996), p. 153.
31. Ashida, F. and Tauchert, T.R., A Finite Difference Scheme for Inverse Transient Piezothermoelastic Problems, J. Thermal Stresses, Vol. 21 (1998), p. 271.