Advertisement

Meccanica

, Volume 49, Issue 4, pp 887–906 | Cite as

Three-dimensional thermoelastic analysis of finite length laminated cylindrical panels with functionally graded layers

  • P. Malekzadeh
  • M. Ghaedsharaf
Article

Abstract

Based on the 3D thermoelasticity theory, the thermoelastic analysis of laminated cylindrical panels with finite length and functionally graded (FG) layers subjected to three-dimensional (3D) thermal loading are presented. The material properties are assumed to be temperature-dependent and graded in the thickness direction. The variations of the field variables across the panel thickness are accurately modeled by using a layerwise differential quadrature (DQ) approach. After validating the approach, as an important application, two common types of FG sandwich cylindrical panels, namely, the sandwich panels with FG face sheets and homogeneous core and the sandwich panels with homogeneous face sheets and FG core are analyzed. The effect of micromechanical modeling of the material properties on the thermoelastic behavior of the panels is studied by comparing the results obtained using the rule of mixture and Mori–Tanaka scheme. The comparison studies reveal that the difference between the results of the two micromechanical models is very small and can be neglected. Then, the effects of different geometrical parameters, material graded index and also the temperature dependence of the material properties on the thermoelastic behavior of the FG sandwich cylindrical panels are carried out.

Keywords

Laminated cylindrical panels Functionally graded layers Finite length 3D thermoelasticity Thermal load Layerwise differential quadrature 

References

  1. 1.
    Jędrysiak J, Rychlewska J, Woźniak C (2005) Microstructural 2D-models of functionally graded laminated plates. In: Proc of 8th conference shell structures theory and applications, Gdańsk-Jurata Google Scholar
  2. 2.
    Woźniak C, Rychlewska J, Wierzbicki E (2005) Modelling and analysis of functionally graded laminated shells. In: Proc of 8th conference shell structures theory and applications, Gdańsk-Jurata Google Scholar
  3. 3.
    Kapuria S, Bhattacharyya M, Kumar AN (2008) Bending and free vibration response of layered functionally graded beams: a theoretical model and its experimental validation. Compos Struct 82:390–402 CrossRefGoogle Scholar
  4. 4.
    Zenkour AM, Alghamdi NA (2008) Thermoelastic bending analysis of functionally graded sandwich plates. J Mater Sci 43:2574–2589 ADSCrossRefGoogle Scholar
  5. 5.
    Wang X, Sudak LJ (2008) Three-dimensional analysis of multi-layered functionally graded anisotropic cylindrical panel under thermomechanical loading. Mech Mater 40:235–254 CrossRefGoogle Scholar
  6. 6.
    Sheng GG, Wang X (2009) Active control of functionally graded laminated cylindrical shells. Compos Struct 90:448–457 CrossRefGoogle Scholar
  7. 7.
    Zenkour AM, Alghamdi NA (2009) Thermomechanical bending response of functionally graded nonsymmetric sandwich plates. J Sandw Struct Mater 12:7–46 CrossRefGoogle Scholar
  8. 8.
    Pilipchuk VN, Berdichevsky VL, Ibrahim RA (2010) Thermo-mechanical coupling in cylindrical bending of sandwich plates. Compos Struct 92:2632–2640 CrossRefGoogle Scholar
  9. 9.
    Heydarpour Y, Malekzadeh P, Golbahar Haghighi MR, Vaghefi M (2011) Thermoelastic analysis of rotating laminated functionally graded cylindrical shells using layerwise differential quadrature method. Acta Mech 223:81–93 CrossRefGoogle Scholar
  10. 10.
    Malekzadeh P, Heydarpour Y, Golbahar Haghighi MR, Vaghefi M (2012) Transient response of rotating laminated functionally graded cylindrical shells in thermal environment. Int J Press Vessels Piping 98:43–56 CrossRefGoogle Scholar
  11. 11.
    He XQ, Li L, Kitipornchai S, Wang CM, Zhu HP (2012) Bi-stable analyses of laminated FGM shells. Int J Struct Stab Dyn 12:311–335 CrossRefMathSciNetGoogle Scholar
  12. 12.
    Hamidi A, Zidi M, Houari MSA, Tounsi A (2012) A new four variable refined plate theory for bending response of functionally graded sandwich plates under thermomechanical loading. Composites, Part B, Eng. doi: 10.1016/j.compositesb.2012.03.021 Google Scholar
  13. 13.
    Tounsi A, Houari MSA, Benyoucef A, Bedia EAA (2013) A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates. Aerosp Sci Technol 24:209–220 CrossRefGoogle Scholar
  14. 14.
    Malekzadeh P, Safaeian Hamzehkolaei N (2013) A 3D discrete layer-differential quadrature free vibration of multi-layered FG annular plates in thermal environment. Mech Adv Mat Struct 20:316–330 CrossRefGoogle Scholar
  15. 15.
    Sheng GG, Wang X (2013) Nonlinear vibration control of functionally graded laminated cylindrical shells. Composites, Part B, Eng 52:1–10 CrossRefGoogle Scholar
  16. 16.
    Ootao Y, Tanigawa Y (2005) Two-dimensional thermoelastic analysis of a functionally graded cylindrical panel due to nonuniform heat supply. Mech Res Commun 32:429–443 CrossRefMATHGoogle Scholar
  17. 17.
    Shao ZS, Wang TJ (2006) Three-dimensional solutions for the stress fields in functionally graded cylindrical panel with finite length and subjected to thermal/mechanical loads. Int J Solids Struct 43:3856–3874 CrossRefMATHGoogle Scholar
  18. 18.
    Kiani Y, Shakeri M, Eslami MR (2012) Thermoelastic free vibration and dynamic behaviour of an FGM doubly curved panel via the analytical hybrid Laplace–Fourier transformation. Acta Mech 223:1199–1218 CrossRefMATHMathSciNetGoogle Scholar
  19. 19.
    Akbarzadeh AH, Chen ZT (2012) Transient heat conduction in a functionally graded cylindrical panel based on the dual phase lag theory. Int J Thermophys 33:1100–1125 ADSCrossRefGoogle Scholar
  20. 20.
    Jafari Mehrabadi S, Sobhani Aragh B (2013) On the thermal analysis of 2-D temperature-dependent functionally graded open cylindrical shells. Compos Struct 96:773–785 CrossRefGoogle Scholar
  21. 21.
    Kim KW (2005) Temperature dependent vibration analysis of functionally graded rectangular plates. J Sound Vib 284:531–549 ADSCrossRefGoogle Scholar
  22. 22.
    Xiang HJ, Yang J (2008) Free and forced vibration of a laminated FGM Timoshenko beam of variable thickness under heat conduction. Composites, Part B, Eng 39:292–303 CrossRefGoogle Scholar
  23. 23.
    Malekzadeh P, Golbahar Haghighi MR, Atashi MM (2010) Free vibration analysis of elastically supported functionally graded annular plates subjected to thermal environment. Meccanica 46:893–913 CrossRefMathSciNetGoogle Scholar
  24. 24.
    Malekzadeh P, Alibeygi Beni A (2010) Free vibration of functionally graded arbitrary straight-sided quadrilateral plates in thermal environment. Compos Struct 92:2758–2767 CrossRefGoogle Scholar
  25. 25.
    Malekzadeh P, Monajjemzadeh SM (2013) Dynamic response of functionally graded plates in thermal environment under moving load. Composites, Part B, Eng 45:1521–1533 CrossRefGoogle Scholar
  26. 26.
    Mori T, Tanaka K (1973) Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall Mater 21:571–574 CrossRefGoogle Scholar
  27. 27.
    Malekzadeh P, Golbahar Haghighi MR, Alibeygi Beni A (2012) Buckling analysis of functionally graded arbitrary straight-sided quadrilateral plates on elastic foundations. Meccanica 47:321–333 CrossRefMathSciNetGoogle Scholar
  28. 28.
    Tornabene F, Viola E (2009) Free vibration analysis of functionally graded panels and shells of revolution. Meccanica 44:255–281 CrossRefMATHGoogle Scholar
  29. 29.
    Tornabene F, Viola E, Inman DJ (2009) 2-D differential quadrature solution for vibration analysis of functionally graded conical, cylindrical shell and annular plate structures. J Sound Vib 328:259–290 ADSCrossRefGoogle Scholar
  30. 30.
    Tornabene F (2009) Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution. Comput Methods Appl Mech Eng 198:2911–2935 ADSCrossRefMATHGoogle Scholar
  31. 31.
    Tornabene F, Viola E (2013) Static analysis of functionally graded doubly-curved shells and panels of revolution. Meccanica 48:901–930 CrossRefMathSciNetGoogle Scholar
  32. 32.
    Farid M, Zahedinejad P, Malekzadeh P (2010) Three-dimensional temperature dependent free vibration analysis of functionally graded material curved panels resting on two-parameter elastic foundation using a hybrid semi-analytic, differential quadrature method. Mater Des 31:2–13 CrossRefGoogle Scholar
  33. 33.
    Zahedinejad P, Malekzadeh P, Farid M, Karami G (2010) A semi-analytical three-dimensional free vibration analysis of functionally graded curved panels. Int J Press Vessels Piping 87:470–480 CrossRefGoogle Scholar
  34. 34.
    Matsunaga H (2009) Stress analysis of functionally graded plates subjected to thermal and mechanical loadings. Compos Struct 87:344–357 CrossRefGoogle Scholar
  35. 35.
    Vel S, Batra RC (2002) Exact solution for thermoelastic deformation of functionally graded thick rectangular plate. AIAA J 40:1421–1433 ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringPersian Gulf UniversityBushehrIran
  2. 2.Department of Mechanical EngineeringShiraz Branch, Islamic Azad UniversityShirazIran

Personalised recommendations