Thermal stability analysis of circular functionally graded sandwich plates of variable thickness using pseudo-spectral method

Materials and Design

Volumn 31, Issue 10, 2010, Pages 4755-4763

  Jalali, S K ^a   Naei, M H ^a   Poorsolhjouy, A ^a  

^a UNIVERSITY OF TEHRAN   (Iran)

Author keywords

A. Functionally graded materials; B. Variable thickness sandwich plates; I. Buckling

Indexed keywords

CHEBYSHEV POLYNOMIALS; CIRCULAR PLATES; CONSTANT THICKNESS; CRITICAL TEMPERATURES; FACE SHEETS; FIRST-ORDER SHEAR DEFORMATION; FUNCTIONALLY GRADED; I. BUCKLING; MANUFACTURING METHODS; MATERIAL PROPERTY; POWER LAW; PREBUCKLING; PSEUDOSPECTRAL METHODS; SANDWICH PLATES; SHOOTING METHODS; STABILITY EQUATIONS; THERMAL STABILITY; THICKNESS DIRECTION; THICKNESS VARIATION; UNIFORM TEMPERATURE; VARIABLE THICKNESS; VOLUME FRACTION INDEX;

ASPECT RATIO; LAMINATING; PLATES (STRUCTURAL COMPONENTS); SPECTROSCOPY; THERMOANALYSIS; THERMODYNAMIC STABILITY; THICKNESS CONTROL;

FUNCTIONALLY GRADED MATERIALS;

EID: 77954145408     PISSN: 02641275     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matdes.2010.05.009     Document Type: Article

References (27)

1. Timoshenko S.P., Gere J.M. Theory of elastic stability 1961, McGraw-Hill, New York. 2nd ed.
2. Brush D.O., Almroth B.O. Buckling of bars, plates and shells 1975, McGraw-Hill, New York.
3. Turvey G.J., Marshall I.H. Buckling and postbuckling of composite plates 1995, Chapman & Hall, London. 1st ed.
4. Wang C.M., Hong G.M., Tan T.J. Elastic buckling of tapered circular plates. Comput Struct 1995, 55:1055-1061.
5. Raju K.K., Rao G.V. Thermal post-buckling of linearly tapered moderately thick isotropic circular plates. Comput Struct 1996, 58:655-658.
6. Özakça M., Taysi N., Kolcu F. Buckling analysis and shape optimization of elastic variable thickness circular and annular plates-I. Finite element formulation. Eng Struct 2003, 25:181-192.
7. Shufrin I., Eisenberger M. Stability of variable thickness shear deformable plates-first order and high order analyses. Thin-Walled Struct 2005, 43:189-207.
8. Koizumi M. The concept of FGM. Ceram Trans Funct Grad Mater 1993, 34:3-10.
9. Aboudi J., Pindera M.J., Arnold S.M. Microstructural optimization of functionally graded composites subjected to a thermal gradient via the coupled higher-order theory. Compos Part B: Eng 1997, 28:93-108.
10. Praveen G.N., Reddy J.N. Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates. Int J Solids Struct 1998, 33:4457-4476.
11. Najafizadeh M.M., Eslami M.R. First-order-theory-based thermoelastic stability of functionally graded material circular plates. AIAA J 2002, 40:1444-1450.
12. Ma L.S., Wang T.J. Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings. Int J Solids Struct 2003, 40:3311-3330.
13. Shen H.S., Li S.R. Post-buckling of sandwich plates with FGM face sheets and temperature-dependent properties. Compos Part B: Eng 2008, 39:332-344.
14. Prakash T., Singha M.K., Ganapathi M. Thermal snapping of functionally graded materials plates. Mater Des 2009, 30(10):4532-4536.
15. Na K.S., Kim J.H. Three-dimensional thermomechanical buckling analysis for functionally graded composite plates. Compos Struct 2006, 73:413-422.
16. Najafizadeh M.M., Heydari H.R. Thermal buckling of functionally graded circular plates based on higher order shear deformation plate theory. Eur J Mech A/Solids 2004, 23:1085-1100.
17. Zhao X., Lee Y.Y., Liew K.M. Mechanical and thermal buckling analysis of functionally graded plates. Compos Struct 2009, 90:161-171.
18. Xiang H.J., Yang J. Free and forced vibration of a laminated FGM Timoshenko beam of variable thickness under heat conduction. Compos Part B: Eng 2008, 39:292-303.
19. Efraim E., Eisenberger M. Exact vibration analysis of variable thickness thick annular isotropic and FGM plates. J Sound Vib 2007, 299:720-738.
20. Xu Y., Zhou D. Three-dimensional elasticity solution of functionally graded rectangular plates with variable thickness. Compos Struct 2009, 91:56-65.
21. Naei M.H., Masoumi A., Shamekhi A. Buckling analysis of circular functionally graded material plate having variable thickness under uniform compression by finite-element method. Proc Inst Mech Eng Part C, J Mech Eng Sci 2007, 221:1241-1247.
22. Miyamoto Y., Kaysser W.A., Rabin B.H., Kawasaki A., Ford R.G. Functionally graded materials: design processing and applications 1999, Kluwer Academic Publishers, The Netherlands.
23. Boyd J.P. Chebyshev and fourier spectral methods 2000, Dover, New York.
24. Lee J. Pseudospectral analysis of buckling and free vibration of rectangular Mindlin plates. J Mech Sci Technol 2009, 23:1422-1427.
25. Lee J., Schultz W.W. Eigenvalue analysis of Timoshenko beams and axisymmetric Mindlin plates by the pseudospectral method. J Sound Vib 2004, 269:609-621.
26. Wang C.M., Xiang Y., Kitipornchai S., Liew K.M. Axisymmetric buckling of circular Mindlin plates with ring supports. J Struct Eng 1993, 119:782-793.
27. Raju K.K., Rao G.V. Finite element analysis of post-buckling behavior of cylindrical orthotropic circular plates. Fibre Sci Technol 1983, 19:145-154.