Three-dimensional solutions of functionally graded piezo-thermo-elastic shells and plates using a modified Pagano method

Computers, Materials and Continua

Volumn 12, Issue 3, 2009, Pages 251-281

  Wu, Chih Ping ^a   Huang, Shao En ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

3D solutions; Coupled piezo thermo elastic effects; FG material; Heat conduction; Plates; Shells; The Pagano method

Indexed keywords

3D SOLUTIONS; COUPLED ANALYSIS; ELASTIC SHELLS; FG MATERIAL; FIELD VARIABLES; FUNCTIONALLY GRADED; GRADIENT INDEXES; HEAT-CONDUCTION ANALYSIS; LATERAL SURFACE; LOADING CONDITION; MATERIAL PROPERTY; MIXED FORMULATIONS; MULTILAYERED COMPOSITES; PROPAGATOR MATRIX; SUCCESSIVE APPROXIMATIONS; SYSTEM EQUATIONS; THERMOELASTIC ANALYSIS; THERMOELASTIC EFFECTS; THERMOELASTICS; THREE-DIMENSIONAL (3D); THREE-DIMENSIONAL SOLUTIONS;

APPROXIMATION THEORY; HEAT CONDUCTION; THERMAL LOAD; THERMOANALYSIS; THERMOELASTICITY; THREE DIMENSIONAL;

SHELLS (STRUCTURES);

EID: 77449155495     PISSN: 15462218     EISSN: 15462226     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. Ashida, F.; Tauchert, T.R. (2001): A general plane-stress solution in cylindrical coordinates for a piezothermoelastic plate. International Journal of Solids and Structures, vol.38, pp. 4969-4985.
2. Chen, W.Q.; Ding, H.J.; Xu, R.Q. (2001): Three-dimensional static analysis of multilayered piezoelectric hollow spheres via the state space method. International Journal of Solids and Structures, vol.38, pp. 4921-4936.
3. Chen, W.Q.; Lee, K.Y. (2003): Alternative state space formulations for magnetoelectric thermoelasticity with transverse isotropy and the application to bending analysis of nonhomogeneous plates. International Journal of Solids and Structures, vol.40, pp. 5689-5705.
4. Crawley, E; Luis, J. (1987): Use of piezoelectric actuators as elements of intelligent structures. AIAA Journal, vol.25, pp. 1373-1385.
5. Dube, G.P.; Kapuria, S.; Dumir, P.C. (1996a): Exact piezothermoelastic solution of simply-supported orthotropic flat panel in cylindrical bending. International Journal of Mechanical Science, vol.38, pp. 1161-1177. (Pubitemid 126374473)
6. Dube, G.P.; Kapuria, S.; Dumir, P.C. (1996b): Exact piezothermoelastic solution of simply-supported orthotropic circular cylindrical panel in cylindrical bending. Archive of Applied Mechanics, vol.66, pp. 537-554. (Pubitemid 126605003)
7. Heyliger, P.; Brooks. S. (1995): Free vibration of piezoelectric laminates in cylindrical bending. International Journal of Solids and Structures, vol.32, pp. 2945-2960.
8. Heyliger, P.; Brooks. S. (1996): Exact solutions for laminated piezoelectric plates in cylindrical bending. Journal of Sound and Vibrations, vol.229, pp. 935-956.
9. Im, S.; Atluri, S.N. (1989): Effects of a piezo-actuator on a finitely deformed beam subjected to general loading. AIAA Journal, vol.27, pp. 1801-1807.
10. Kapuria, S.; Dumir, P.C.; Sengupta, S. (1997): Exact axisymmetric solution for a simply supported piezoelectric cylindrical shell. Archive of Applied Mechanics, vol.67, pp. 260-273. (Pubitemid 127608069)
11. Kapuria, S.; Sengupta, S.; Dumir, P.C. (1997): Three-dimensional solution for a hybrid cylindrical shell under axisymmetric thermoelectric load. Archive of Applied Mechanics, vol.67, pp. 320-330. (Pubitemid 127622957)
12. Soldatos, K.P.; Hadjigeorgiou, V.P. (1990): Three-dimensional solution of the free vibration problem of homogeneous isotropic cylindrical shells and panels. Journal of Sound Vibration, vol.137, pp. 369-384.
13. Tang, Y.Y.; Noor, A.K.; Xu, K. (1996): Assessment of computational models for thermoelectroelastic multilayered plates. Computers & Structures, vol.61, 915-933.
14. Tauchert, T.R.; Ashida, F.; Noda, N.; Adali, S.; Verijenko, V. (2000): Developmemts in thermopiezoelasticity with relevance to smart composite structures. Composite Structures, vol.48, pp. 31-38.
15. Tsai, Y.H.;Wu, C.P. (2008): Dynamic responses of functionally graded magnetoelectro- elastic shells with open-circuit surface conditions. International Journal of Engineering Science, vol.46, pp. 843-857.
16. Wu, C.P.; Chen, S.J.; Chiu, K.H. (2009): Three-dimensional static behavior of functionally graded magneto-electro-elastic plates using the modified Pagano method. Mechanics Research Communications, doi:10.1016/j. mechrescom.2009.10.003.
17. Wu, C.P.; Chiu, K.H.; Wang, Y.M. (2008): A review on the three-dimensional analytical approaches of multilayered and functionally graded piezoelectric plates and shells. CMC: Computers, Materials, & Continua, vol.8, pp. 93-132.
18. Wu, C.P.; Liu, K.Y. (2007): A state space approach for the analysis of doubly curved functionally graded elastic and piezoelectric shells. CMC: Computers, Materials, & Continua, vol.6, pp. 177-199.
19. Wu, C.P.; Lu, Y.C. (2009): A modified Pagano method for the 3D dynamic responses of functionally graded magneto-electro-elastic plates. Composite Structures, vol.90, pp. 363-372.
20. Wu, C.P.; Syu, Y.S. (2006): Asymptotic solutions for multilayered piezoelectric cylinders under electromechanical loads. CMC: Computers, Materials, & Continua, vol.4, pp. 87-108.
21. Wu, C.P.; Syu, Y.S. (2007): Exact Solutions of Functionally graded piezoelectric shells under cylindrical bending. International Journal of Solids and Structures, vol.44, pp. 6450-6472.
22. Wu, C.P.; Syu, Y.S.; Lo, J.Y. (2007): Three-dimensional solutions for multilayered piezoelectric hollow cylinders by an asymptotic approach. International Journal of Mechanical Sciences, vol.49, pp. 669-689.
23. Wu, C.P.; Tsai, Y.H. (2007): Static behavior of functionally graded magnetoelectro- elastic shells under electric displacement and magnetic flux. International Journal of Engineering Science, vol.45, pp. 744-769.
24. Wu, C.P.; Tsai, Y.H. (2009): Cylindrical bending vibration of functionally graded piezoelectric shells using the method of perturbation. International Journal of Engineering Mathematics, vol.63, pp. 95-119.
25. Wu, X.H.; Shen, Y.P.; Chen, C. (2003): An exact solution for functionally graded piezothermoelastic cylindrical shell as sensors or actuators. Materials Letters, vol.57, pp. 3532-3542.
26. Xu, K.; Noor, A.K.; Tang Y.Y. (1995): Three-dimensional solutions for coupled thermo-electro-elastic response of multilayered plates. Computer Methods in Applied Mechanics and Engineering, vol.126, pp. 355-371.
27. Zhang, C.; Di, S.; Zhang, N. (2002): A new procedure for static analysis of thermo-electric laminated composite plates under cylindrical bending. Composite Structures, vol.56, pp. 131-140.
28. Zhong, Z.; Shang, E.T. (2005): Exact analysis of simply supported functionally graded piezothermoelectric plates. Journal of Intelligent Material Systems and Structures, vol.16, pp. 643-651.