Assessment of coupled 1D models for hybrid piezoelectric layered functionally graded beams

Composite Structures

Volumn 72, Issue 4, 2006, Pages 455-468

  Kapuria, S ^a   Bhattacharyya, M ^a   Kumar, A N ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

Coupled theory; Functionally graded material; Hybrid beam; Piezothermoelasticity; Zigzag theory

Indexed keywords

BOUNDARY CONDITIONS; DEFLECTION (STRUCTURES); ELECTRIC FIELDS; FUNCTIONALLY GRADED MATERIALS; PIECEWISE LINEAR TECHNIQUES; PIEZOELECTRIC MATERIALS; STRUCTURAL LOADS; THERMOELASTICITY; VARIATIONAL TECHNIQUES;

COUPLED THEORY; PIEZOTHERMOELASTICITY; ZIGZAG THEORY;

BEAMS AND GIRDERS;

PIEZOELECTRIC DEVICE;

EID: 30744457302     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2005.01.015     Document Type: Article

References (53)

1. Cavanagh JR, Cross KR, Newman RL, Spicer WC. The graded thermal barrier-a new approach for turbine engine cooling. AIAA Paper No. 72-362, ASAA/ASME/SAE 13th Structures, Structural dynamics and Materials Conf, ASME 1972;13:1-15.
2. M. Koizumi Concept of FGM Ceram Trans 34 1993 3-10
3. F. Watari A. Yokoyama F. Saso T. Kawasaki Fabrication and properties of functionally graded dental implant Composites Part B 28 1997 5-11
4. W. Pompe H. Worch M. Epple W. Friess M. Gelinsky P. Greil et al. Functionally graded materials for biomedical applications Mater Sci Eng A362 2003 40-60
5. E. Muller C. Drasar J. Schilz W.A. Kaysser Functionally graded materials for sensor and energy applications Mater Sci Eng A362 2003 17-39
6. U. Schulz M. Peters F.W. Bach G. Tegeder Graded coatings for thermal, wear and corrosion barriers Mater Sci Eng A362 2003 61-80
7. L.L. Shaw Thermal residual stress in plates and coatings composed of multilayered and functionally graded materials Composites Part B 29B 1998 199-210
8. Y. Miyamoto W.A. Kaysser B.H. Rabin A. Kawasaki R.G. Ford Functionally graded materials: Design, processing and applications 1999 Kluwer Academic Boston
9. S. Suresh A. Mortensen Fundamentals of functionally graded materials 1998 Maney London
10. Y. Tanigawa Some basic thermoelastic problems for nonhomogeneous structural materials Appl Mech Rev 48 1995 287-300
11. K.S. Ravichandran Thermal residual stresses in a Functionally Graded Material system Mater Sci Eng A201 1995 269-276
12. 3 multilayered material Mater Sci Eng A205 1996 59-71
13. T.L. Becker Jr. R.M. Cannon R.O. Ritchie An approximate methods for residual stress calculation in functionally graded materials Mech Mat 32 2000 85-97
14. C.H. Hsueh S. Lee Modelling of elastic thermal stresses in two materials joined by a graded layer Composites Part B 34 2003 747-752
15. A.E. Giannakopoulos S. Suresh M. Finot M. Olsson Elastoplastic analysis of thermal cycling: Layered materials with compositional gradients Acta Metall Mater 43 1995 1335-1354
16. J.R. Cho J.T. Oden Functionally Graded Material: A parameter study on thermal stress characteristics using the Crank-Nicolson-Galerkin scheme Comp Meth Appl Mech Eng 188 2000 17-38
17. H. Tsukamoto Analytical method of inelastic thermal stresses in a functionally graded material plate by a combination of micro-and macromechanical approaches Composites Part B 34 6 2003 561-568
18. B.V. Sankar An elasticity solution for functionally graded beams Compos Sci Technol 61 5 2001 689-696
19. M. Kashtalyan Three-dimensional elasticity solution for bending of functionally graded rectangular plates Eur J Mech A Solids 23 2004 853-864
20. Y. Ootao Y. Tanigawa Transient thermoelastic problem of functionally graded thick strip due to nonuniform heat supply Compos Struct 63 2004 139-146
21. S.S. Vel R.C. Batra Exact solutions for thermoelastic deformations of functionally graded thick rectangular plate AIAA J 40 2002 1421-1433
22. S.S. Vel R.C. Batra Three dimensional analysis of transient thermal stresses in functionally graded rectangular plates Int J Solids Struct 40 2003 7181-7196
23. S.S. Vel R.C. Batra Three dimensional exact solution for the vibration of functionally graded rectangular plates J Sound Vib 272 2004 705-730
24. Y. Ootao Y. Tanigawa Three dimensional transient thermal stresses of functionally graded rectangular plate due to partial heating J Thermal Stress 22 1999 35-55
25. J. Woo S.A. Meguid Nonlinear analysis of functionally graded plates and shallow shells Int J Solids Struct 38 2001 7409-7421
26. Y. Yang H.S. Shen Dynamic response of initially stressed functionally graded rectangular thin plate Compos Struct 54 2001 497-508
27. R. Javaheri M.R. Eslami Thermal buckling of functionally graded plates AIAA J 40 2002 162-169
28. E.H. Kerner The elastic and thermoelastic properties of composite media Proc Phys Sci 69B 1956 808-813
29. J.N. Reddy C.D. Chin Thermoelastic analysis of functionally graded cylinders and plates J Thermal Stress 21 1998 593-620
30. G.N. Praveen J.N. Reddy Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates Int J Solids Struct 35 1998 4457-4476
31. J.N. Reddy C.M. Wang S. Kitipornchai Axisymmetric bending of functionally graded circular annular plates Eur J Mech Solids 18 1999 185-199
32. J.N. Reddy Analysis of functionally graded plates Int J Numer Meth Eng 47 2000 663-684
33. H.S. Shen Nonlinear bending response of functionally graded plates subjected to transverse loads and in thermal environments Int J Mech Sci 44 2002 561-584
34. J. Yang H.S. Shen Nonlinear bending analysis of shear deformable functionally graded plates subjected to thermo-mechanical loads under various boundary conditions Composites Part B 34 2003 103-115
35. J.N. Reddy A simple higher order theory of laminated composite plates ASME J Appl Mech 51 1984 745-752
36. M. Sunar S.S. Rao Recent advances in sensing control of flexible structures via piezoelectric materials technology Appl Mech Rev 52 1999 1-16
37. J. Chopra Review of state of art smart structures and integrated systems AIAA J 40 2002 2145-2187
38. D.A. Saravanos P.R. Heyliger Mechanics and computational models for laminated piezoelectric beams, plates and shells Appl Mech Rev 52 1999 305-320
39. T.R. Tauchert F. Ashida N. Noda S. Adali V. Verijenko Developments in thermopiezoelasticity with relevance to smart composite structures Compos Struct 48 2000 31-38
40. C.W. Lim L.H. He Exact solution of a compositionally graded piezoelectric layer under uniform stretch, bending and twisting Int J Mech Sci 43 2001 2479-2492
41. C.W. Lim L.H. He Three-dimensional exact solutions for the electromechanical response of triple-layer piezoelectric actuators Smart Mater Struct 13 2004 1050-1058
42. S. Kapuria P.C. Dumir A. Ahmed An efficient coupled layerwise theory fpr static analysis of piezoelectric sandwitch beams Arch Appl Mech 73 2003 147-159
43. S. Kapuria P.C. Dumir A. Ahmed Efficient coupled zigzag theory for hybrid piezoelectric beams for thermoelectric load AIAA J 42 2004 383-394
44. S. Kapuria A. Ahmed P.C. Dumir Coupled consistent third order theory for hybrid piezoelectric beams under thermal load J Thermal Stress 27 2004 405-424
45. J. Qiu J. Tani T. Takagi An intelligent piezoelectric composite material without bending deformation J Res Phys 35 1994 99-107
46. Y. Ootao Y. Tanigawa Three dimensional transient piezothermoelesticity in functionally graded rectangular plate bonded to a piezielectric plate Int J Solids Struct 37 2000 4377-4401
47. Y. Ootao Y. Tanigawa Control of the transient thermoelastic displacements of a functionally graded rectangular plate bonded to a piezoelectric plate due to nonuniform heating Acta Mech 148 2001 17-33
48. T.Y. Ng X.Q. He K.M. Liew Finite element modelling of active control of functionally graded shells in frequency domain via piezoelectric sensors and actuators Comp Mech 28 2002 37-45
49. W.B. Kratzig D. Jun On 'best' shell models-From classical shells, degenerated multi-layered concepts to 3D Arch Appl Mech 73 2003 1-25
50. Y. Tomoto K. Kuroki T. Mori I. Tamura Tensile deformation of two-ductile-phase alloys: Flow curves of α-γ Fe-Cr-Ni alloys Mater Sci Eng 24 1976 85-94
51. S. Kapuria G.P. Dube P.C. Dumir Exact piezothermoelastic solution for simply-supported laminated flat panel in cylindrical bending ZAMM 77 1997 281-293
52. S. Kapuria P.C. Dumir A. Ahmed A. Alam Finite element model of efficient zigzag theory for static analysis of hybrid piezoelectric beams Comput Mech 34 2004 475-483
53. R.L. Williamson B.H. Rabin J.T. Drake Finite element analysis of thermal residual stresses at graded ceramic-metal interfaces, Part 1, Model description and geometrical effects J Appl Phys 74 1993 1310-1320