Stability of carbon nanotube-reinforced composite plates with surface-bonded piezoelectric layers and under bi-axial compression

Composite Structures

Volumn 111, Issue 1, 2014, Pages 587-601

  Wu, Chih Ping ^a   Chang, Shen Kuo ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Buckling; Finite layer methods; Functionally graded materials; Mixed theory; Nano reinforced plates; Piezoelectric plates

Indexed keywords

BUCKLING; FUNCTIONALLY GRADED MATERIALS; PIEZOELECTRIC ACTUATORS; THREE DIMENSIONAL;

EFFECTIVE MATERIAL PROPERTY; FINITE LAYER METHODS; LAGRANGE POLYNOMIALS; MIXED THEORIES; PIEZOELECTRIC LAYERS; PIEZOELECTRIC PLATE; REISSNER'S MIXED VARIATIONAL THEOREMS; TRIGONOMETRIC FUNCTIONS;

CARBON NANOTUBES;

EID: 84896530087     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2014.01.040     Document Type: Article

References (68)

1. Thostenson E.T., Ren Z., Chou T.W. Advances in the science and technology of carbon nanotubes and their composites: a review. Compos Sci Technol 2001, 61:1899-1912.
2. Coleman J.N., Khan U., Blau W.J., Gun'ko Y.K. Small but strong: a review of the mechanical properties of carbon nanotube-polymer composites. Carbon 2006, 44:1624-1652.
3. Esawi A.M.K., Farag M.M. Carbon nanotube reinforced composites: potential and current challenges. Mater Des 2007, 28:2394-2401.
4. Chou T.W., Gao L., Thostenson E.T., Zhang Z., Byun J.H. An assessment of the science and technology of carbon nanotube-based fibers and composites. Compos Sci Technol 2010, 70:1-19.
5. Davis D.C., Wilkerson J.W., Zhu J., Hadjiev V.G. A strategy for improving mechanical properties of a fiber reinforced epoxy composite using functionalized carbon nanotubes. Compos Sci Technol 2011, 71:1089-1097.
6. Li C., Thostenson E.T., Chou T.W. Sensors and actuators based on carbon nanotubes and their composites: a review. Compos Sci Technol 2008, 68:1227-1249.
7. Ramaratnam A., Jalili N. Reinforcement of piezoelectric polymers with carbon nanotubes: pathway to next-generation sensors. J Intell Mater Syst Struct 2006, 17:199-208.
8. Chee C.Y.K., Tong L., Steven G.P. Review on the modeling of piezoelectric sensors and actuators incorporated in intelligent structures. J Intell Mater Syst Struct 1998, 9:3-19.
9. Saravanos D.A., Heyliger P.R. Mechanics and computational models for laminated piezoelectric beams, plates, and shells. Appl Mech Rev 1999, 52:305-320.
10. Wu C.P., Chiu K.H., Wang Y.M. A review on the three-dimensional analytical approaches of multilayered and functionally graded piezoelectric plates and shells. CMC: Comput Mater Continua 2008, 8:93-132.
11. Mackerle J. Smart materials and structures - A finite-element approach: a bibliography (1986-1997). Model Simul Mater Sci Eng 1998, 6:293-334.
12. Mackerle J. Smart materials and structures - A finite-element approach - an addendum: a bibliography (1997-2002). Model Simul Mater Sci Eng 2003, 11:707-744.
13. Mackerle J. Smart materials and structures-FEM and BEM simulations: a bibliography (1997-1999). Finite Elem Anal Des 2001, 37:71-83.
14. Mackerle J. Stability problems analyzed by finite element and boundary element techniques - a bibliography (1994-1996). Finite Elem Anal Des 1997, 26:337-353.
15. Shen H.S. Buckling and postbuckling of anisotropic laminated cylindrical shells with piezoelectric fiber reinforced composite actuators. Mech Adv Mater Struct 2010, 17:268-279.
16. Jadhav P.A., Bajoria K.M. Buckling of piezoelectric functionally graded plate subjected to electro-mechanical loading. Smart Mater Struct 2012, 21:105005.
17. Shen H.S., Zhu Z.H. Compressive and thermal postbuckling behaviors of laminated plates with piezoelectric fiber reinforced composite actuators. Appl Math Model 2011, 35:1829-1845.
18. Shen H.S. A comparison of buckling and postbuckling behavior of FGM plates with piezoelectric fiber reinforced composite actuators. Compos Struct 2009, 91:375-384.
19. Kapuria S., Achary G.G.S. Nonlinear coupled zigzag theory for buckling of hybrid piezoelectric plates. Compos Struct 2006, 74:253-264.
20. Kapuria S., Achary G.G.S. Nonlinear zigzag theory for electrothermomechanical buckling of piezoelectric composite and sandwich plates. Acta Mech 2006, 184:61-76.
21. Dumir P.C., Kumari P., Kapuria S. Assessment of third order smeared and zigzag theories for buckling and vibration of flat angle-ply hybrid piezoelectric panels. Compos Struct 2009, 90:346-362.
22. Kapuria S., Achary G.G.S. Exact 3D piezoelasticity solution for buckling of hybrid cross-ply plates using transfer matrices. Acta Mech 2004, 170:25-45.
23. Santos H., Mota Soares C.M., Mota Soares C.A., Reddy J.N. A finite element model for the analysis of 3D axisymmetric laminated shells with piezoelectric sensors and actuators. Compos Struct 2006, 75:170-178.
24. Santos H., Mota Soares C.M., Mota Soares C.A., Reddy J.N. A finite element model for the analysis of 3D axisymmetric laminated shells with piezoelectric sensors and actuators: bending and free vibrations. Compos Struct 2008, 86:940-947.
25. Reissner E. On a certain mixed variational theory and a proposed application. Int J Numer Methods Eng 1984, 20:1366-1368.
26. Reissner E. On a mixed variational theorem and on a shear deformable plate theory. Int J Numer Methods Eng 1986, 23:193-198.
27. Reissner E. On a certain mixed variational theorem and on laminated elastic shell theory. Proc Euromech-Colloquium 1986, 219:17-27.
28. Carrera E. Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarks. Arch Comput Methods Eng 2003, 10:215-296.
29. Carrera E., Ciuffreda A. A unified formulation to assess theories of multilayered plates for various bending problems. Compos Struct 2005, 69:271-293.
30. Nali P., Carrera E., Lecca S. Assessments of refined theories for buckling analysis of laminated plates. Compos Struct 2011, 93:456-464.
31. Ballhause D., D'Ottavio M., Kröplin B., Carrera E. A unified formulation to assess multilayered theories for piezoelectric plates. Comput Struct 2005, 83:1217-1235.
32. Brischetto S., Carrera E. Refined 2D models for the analysis of functionally graded piezoelectric plates. J Intell Mater Syst Struct 2009, 20:1783-1797.
33. Robaldo A., Carrera E., Benjeddou A. A unified formulation for finite element analysis of piezoelectric adaptive plates. Comput Struct 2006, 84:1494-1505.
34. Carrera E., Boscolo M. Classical and mixed finite elements for static and dynamic analysis of piezoelectric plates. Int J Numer Methods Eng 2007, 70:1135-1181.
35. Carrera E., Büttner A., Nali P. Mixed elements for the analysis of anisotropic multilayered piezoelectric plates. J Intell Mater Syst Struct 2010, 21:701-717.
36. Kim J., Reddy J.N. Analytical solutions for bending, vibration, and buckling of FGM plates using a couple stress-based third-order theory. Compos Struct 2013, 103:86-98.
37. Reddy J.N., Kim J. A nonlinear modified couple stress-based third-order theory of functionally graded plates. Compos Struct 2011, 94:1128-1143.
38. Na K.S., Kim J.H. Thermal postbuckling investigations of functionally graded plates using 3D finite element method. Finite Elem Anal Des 2006, 42:749-756.
39. Na K.S., Kim J.H. Volume fraction optimization of functionally graded composite panels for stress reduction and critical temperature. Finite Elem Anal Des 2009, 45:845-851.
40. Shen H.S. Nonlinear bending of functionally graded carbon nanotubed-reinforced composite plates in thermal environments. Compos Struct 2009, 91:9-19.
41. Shen H.S., Xiang Y. Nonlinear vibration of nanotube-reinforced composite cylindrical shells in thermal environments. Comput Methods Appl Mech Eng 2012, 213:196-205.
42. Mori T., Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall 1973, 21:571-574.
43. Hill R. A self-consistent mechanics of composite materials. J Mech Phys Solids 1965, 13:213-222.
44. Wang Z.X., Shen H.S. Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets. Compos Part B: Eng 2012, 43:411-421.
45. Shen H.S. Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: Axially-loaded shells. Compos Struct 2011, 93:2096-2108.
46. Shen H.S. Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part II: Pressure-loaded shells. Compos Struct 2011, 93:2496-2503.
47. Shen H.S., Xiang Y. Postbuckling of nanotube-reinforced composite cylindrical shells under combined axial and radial mechanical loads in thermal environment. Compos Part B: Eng 2013, 52:311-322.
48. Lei Z.X., Liew K.M., Yu J.L. Buckling analysis of functionally graded carbon nanotube-reinforced composite plates using the element-free kp-Ritz method. Compos Struct 2013, 98:160-168.
49. Zhu P., Lei Z.X., Liew K.M. Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory. Compos Struct 2012, 94:1450-1460.
50. Alibeigloo A. Static analysis of functionally graded carbon nanotube-reinforced composite plate embedded in piezoelectric layers by using theory of elasticity. Compos Struct 2013, 95:612-622.
51. Yas M.H., Pourasghar A., Kamarian S., Heshmati M. Three-dimensional free vibration analysis of functionally graded nanocomposite cylindrical panels reinforced by carbon nanotube. Mater Des 2013, 49:583-590.
52. Brischetto S., Carrera E. Classical and refined shell models for the analysis of nano-reinforced structures. Int J Mech Sci 2012, 55:104-117.
53. Brischetto S., Carrera E. Analysis of nano-reinforced layered plates via classical and refined two-dimensional theories. Multidisc Model Mater 2012, 8:4-31.
54. Cheung Y.K., Chakrabarti S. Free vibration of thick, layered rectangular plates by a finite layer method. J Sound Vib 1972, 21:277-284.
55. Zhou D., Cheung Y.K., Kong J. Free vibration of thick, layered rectangular plates with point supports by a finite layer method. Int J Solids Struct 2000, 37:1483-1499.
56. Cheung Y.K., Jiang C.P. Finite layer method in analysis of piezoelectric composite laminates. Comput Methods Appl Mech Eng 2001, 191:879-901.
57. Akhras G., Li W.C. Three-dimensional thermal buckling analysis of piezoelectric composite plates using the finite layer method. Smart Mater Struct 2008, 17:055004.
58. Akhras G., Li W.C. Three-dimensional stability analysis of piezoelectric antisymmetric angle-ply laminates using finite layer method. J Intell Mater Syst Struct 2010, 21:719-727.
59. Akhras G., Li W.C. Three-dimensional thermal buckling analysis of piezoelectric antisymmetric angle-ply laminates using finite layer method. Compos Struct 2010, 92:31-38.
60. Akhras G., Li W.C. Three-dimensional static, vibration and stability analysis of piezoelectric composite plates using a finite layer method. Smart Mater Struct 2007, 16:561-569.
61. Carrera E. Developments, ideas, and evaluations based upon Reissner's mixed variational theorem in the modeling of multilayered plates and shells. Appl Mech Rev 2001, 54:301-329.
62. Carrera E., Brischetto S., Cinefra M., Soave M. Refined and advanced models for multilayered plates and shells embedding functionally graded material layers. Mech Adv Mater Struct 2010, 17:603-621.
63. D'Ottavio M., Carrera E. Variable-kinematics approach for linearized buckling analysis of laminated plates and shells. AIAA J 2010, 48:1987-1996.
64. Wu C.P., Li H.Y. The RMVT- and PVD-based finite layer methods for the three-dimensional analysis of multilayered composite and FGM plates. Compos Struct 2010, 92:2476-2496.
65. Wu C.P., Chang R.Y. A unified formulation of RMVT-based finite cylindrical layer methods for sandwich circular hollow cylinders with an embedded FGM layer. Compos Part B: Eng 2012, 43:3318-3333.
66. Wu C.P., Li H.Y. An RMVT-based finite rectangular prism method for the 3D analysis of sandwich FGM plates with various boundary conditions. CMC: Comput Mater Continua 2013, 34:27-62.
67. Wu C.P., Li H.Y. RMVT-based finite cylindrical prism methods for multilayered functionally graded circular hollow cylinders with various boundary conditions. Compos Struct 2013, 100:592-608.
68. Wu C.P., Lu Y.C. A modified Pagano method for the 3D dynamic responses of functionally graded magneto-electro-elastic plates. Compos Struct 2009, 90:363-373.