Non-linear analysis of the thermo-electro-mechanical behaviour of shear deformable FGM plates with piezoelectric actuators

International Journal for Numerical Methods in Engineering

Volumn 59, Issue 12, 2004, Pages 1605-1632

  Yang, J ^a   Kitipornchai, S ^b   Liew, K M ^c  

^a UNIVERSITY OF QUEENSLAND   (Australia)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^c NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

FGM plates; Higher order shear deformation plate theory; Non linear bending; Piezoelectric materials; Thermo electro mechanical response

Indexed keywords

ACTUATORS; DIFFERENCE EQUATIONS; HEAT CONDUCTION; ITERATIVE METHODS; PIEZOELECTRIC DEVICES; SHEAR DEFORMATION; STRESS ANALYSIS; THERMOELECTRICITY;

GRADED PLATES; THERMO-ELECTRO-MECHANICAL BEHAVIOR;

PLATES (STRUCTURAL COMPONENTS);

DEFORMATION;

EID: 1842685794     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.932     Document Type: Article

References (33)

1. Koizumi M. The concept of FGM. Ceramic Transactions, Functionally Graded Materials 1993; 34:3-10.
2. Woo J, Meguid SA. Non-linear analysis of functionally graded plates and shallow shells. International Journal of Solids and Structures 2001: 38:7409-7421.
3. Yang J, Shen HS. Non-linear analysis of functionally graded plates under transverse and in-plane loads. International Journal of Non-Linear Mechanics 2003: 38:467-482.
4. Praveen GN, Reddy JN. Non-linear transient thermoelastic analysis of functionally graded ceramic-metal plates. International Journal of Solids and Structures 1998; 35:4457-4476.
5. Reddy JN. Analysis of functionally graded plates. International Journal for Numerical Methods in Engineering 2000; 47:663-684.
6. Shen HS. Non-linear bending response of functionally graded plates subjected to transverse loads and in thermal environments. International Journal of Mechanical Sciences 2002: 44:561-584.
7. Shen HS. Postbuckling analysis of axially-loaded functionally graded cylindrical shells in thermal environments. Composites Science and Technology 2002; 62:977-987.
8. Tzou HS, Gadre M. Theoretical analysis of a multi-layered thin shell coupled with piezoelectric shell actuators for distributed vibration controls. Journal of Sound and Vibration 1989: 132:433-450.
9. Tauchert TR. Piezothermalelastic behaviour of a laminated plate. Journal of Thermal Stresses 1992; 15:25-37.
10. Jonnalagadda KD, Blandford GE, Tauchert TR. Piezothermoelastic composite plate analysis using first-order shear deformation theory. Computers and Structures 1994; 51:79-89.
11. Kapuria S, Dube GP, Dumir PC, Sengupta S. Levy-type piezoethermoelastic solution for hybrid plate by using first-order shear deformation theory. Composites Part B 1997; 28B:535-546.
12. Lee HJ, Saravanos OA. Generalized finite element formulation for smart multilayered thermal piezoelectric composite plates. International Journal of Solids and Structures 1997: 34:3355-3371.
13. Reddy JN. On laminated composite plates with integrated sensors and actuators. Engineering Structures 1999: 21:568-593.
14. Lam KY, Ng TY. Active control of composite plates with integrated piezoelectric sensors and actuators under various dynamic loading conditions. Smart Materials and Structures 1999; 8:223-237.
15. Benjeddou A. Advances in piezoelectric finite element modeling of adaptive structural elements: a survey. Computers and Structures 2000; 76:347-363.
16. Ishihara M, Noda N. Piezothermoelastic analysis of a cross-ply laminate considering the effects of transverse shear and coupling. Journal of Thermal Stresses 2000; 23:441-461.
17. Shen HS. Thermal postbuckling of shear-deformable laminated plates with piezoelectric actuators, Composite Science and Technology 2001; 61:1931-1943.
18. Ootao Y, Tanigawa Y. Three-dimensional transient piezothermoelasticity in functionally graded rectangular plate bonded to a piezoelectric plate. International Journal of Solids and Structures 2000; 37:4377-4401.
19. Reddy JN, Cheng ZQ. Three-dimensional solutions of smart functionally graded plates. Journal of Applied Mechanics, ASME 2001; 68:234-241.
20. Wu XH, Chen CQ, Shen YP, Tian XG. A higher order theory for functionally graded piezoelectric shells. International Journal of Solids and Structures 2002; 39:5325-5344.
21. He XQ, Ng TY, Sivashanker S, Liew KM. Active control of FGM plates with integrated piezoelectric sensors and actuators. International Journal of Solids and Structures 2001: 38:1641-1655.
22. He XQ. Liew KM, Ng TY, Sivashanker S. A FEM model for the active control of curved FGM shells using piezoelectric sensors/actuator layers. International Journal for Numerical Methods in Engineering 2002; 54:853-870.
23. Liew KM, He XQ, Ng TY, Sivashanker S. Active control of FGM plates subjected to a temperature gradient: modeling via finite element method based on FSDT. International Journal for Numerical Methods in Engineering 2001; 52:1253-1271.
24. Ng TY, He XQ, Liew KM. Finite element modeling of active control of functionally graded shells in frequency domain via piezoelectric sensors and actuators. Computational Mechanics 2002; 28:1-9.
25. Reddy JN. A refined non-linear theory of plates with transverse shear deformation. International Journal of Solids and Structures 1984; 20:881-896.
26. Reddy JN. Mechanics of Laminated Composite Plates: Theory and Analysis. CRC Press: Boca Raton. FL, 1997.
27. Reddy JN. Theory and Analysis of Elastic Plates. Taylor & Francis: Philadelphia, PA, 1999.
28. Bert CW, Jang SK, Striz AG. Non-linear bending analysis of orthotropic rectangular plates by the method of differential quadrature. Computational Mechanics 1989; 5:217-226.
29. Bert CW, Malik M. Differential quadrature method in computational mechanics: a review. Applied Mechanics Review 1996; 49:1-28.
30. Jang SK, Bert CW, Striz AG. Application of differential quadrature to static analysis of structural components. International Journal for Numerical Methods in Engineering 1989; 28:561-577.
31. Farsa J, Kukreti AR, Bert CW. Fundamental-frequency analysis of laminated rectangular-plates by differential quadrature method. International Journal for Numerical Methods in Engineering 1993: 36:2341-2356.
32. Liew KM, Han JB. A four-node differential quadrature method for straight-sided quadrilateral Reissner/Mindlin plates. Communications in Numerical Methods in Engineering 1997; 13:62-73.
33. Liew KM, Teo TM, Han JB. Comparative accuracy of DQ and HDQ methods for three-dimensional vibration analysis of rectangular plates. International Journal for Numerical Methods in Engineering 1992; 45:1831-1848.