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Thermal buckling and post-buckling response of imperfect temperature-dependent sandwich FGM plates resting on elastic foundation

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Abstract

Post-buckling behaviour of sandwich plates with functionally graded material (FGM) face sheets under uniform temperature rise loading is considered. It is assumed that the plate is in contact with a Pasternak-type elastic foundation during deformation, which acts in both compression and tension. The derivation of equations is based on the first-order shear deformation plate theory. Thermomechanical non-homogeneous properties of FGM layers vary smoothly by the distribution of power law across the thickness, and temperature dependency of material constituents is taken into account. Using the non-linear von-Karman strain-displacement relations, the equilibrium and compatibility equations of imperfect sandwich plates with FGM face sheets are derived. The boundary conditions for the plate are assumed to be simply supported in all edges. The governing equations are reduced to two coupled equation in terms of stress function and lateral deflection. Employing the single mode approach combined with Galerkin technique, an approximate closed-form solution is presented to calculate the critical buckling temperature and post-buckling equilibrium path of the plate. Presented numerical examples contain the influences of power law index, sandwich plate geometry, geometrical imperfection, temperature dependency, and the elastic foundation coefficients.

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References

  1. Javaheri R., Eslami M.R.: Thermal buckling of functionally graded plates. AIAA J. 40(1), 162–169 (2002)

    Article  Google Scholar 

  2. Javaheri R., Eslami M.R.: Buckling of functionally graded plates under in-plane compressive loading. ZAMM 82(4), 277–283 (2002)

    Article  MATH  Google Scholar 

  3. Javaheri R., Eslami M.R.: Thermal buckling of functionally graded plates based on higher order theory. J. Therm. Stress. 25(7), 603–625 (2002)

    Article  Google Scholar 

  4. Shariat B.A.S., Eslami M.R.: Buckling of thick functionally graded plates under mechanical and thermal loads. Compos. Struct. 78(3), 433–439 (2007)

    Article  Google Scholar 

  5. Shariat B.A.S., Eslami M.R.: Thermal buckling of imperfect functionally graded plates. Int. J. Solids Struct. 43(14–15), 4082–4096 (2006)

    Article  MATH  Google Scholar 

  6. Bodaghi M., Saidi A.R.: Stability analysis of functionally graded rectangular plates under nonlinearly varying in-plane loading resting on elastic foundation. Arch. Appl. Mech. 81(6), 765–780 (2011)

    Article  Google Scholar 

  7. Bodaghi M., Saidi A.R.: Thermoelastic buckling behavior of thick functionally graded rectangular plates. Arch. Appl. Mech. 81(11), 1555–1572 (2011)

    Article  Google Scholar 

  8. Tung H.V., Duc N.D.: Nonlinear analysis of stability for functionally graded plates under mechanical and thermal loads. Compos. Struct. 92(5), 1184–1191 (2010)

    Article  Google Scholar 

  9. Yang J., Liew K.M., Kitipornchai S.: Second-order statistics of the elastic buckling of functionally graded rectangular plates. Compos. Sci. Technol. 65(7-8), 1165–1175 (2005)

    Article  Google Scholar 

  10. Woo J., Meguid S.A., Stranart J.C., Liew K.M.: Thermomechanical postbuckling analysis of moderately thick functionally graded plates and shallow shells. Int. J. Mech. Sci. 47(8), 1147–1171 (2005)

    Article  MATH  Google Scholar 

  11. Zenkour A.M.: A comprehensive analysis of functionally graded sandwich plates: part 2—buckling and free vibration. Int. J. Solids Struct. 42(18–19), 5243–5258 (2005)

    Article  MATH  Google Scholar 

  12. Zenkour A.M., Sobhy M.: Thermal buckling of various types of FGM sandwich plates. Compos. Struct. 93(1), 93–102 (2010)

    Article  Google Scholar 

  13. Shen H.S.: Thermal postbuckling behavior of shear deformable FGM plates with temperature-dependent properties. Int. J. Mech. Sci. 49(4), 466–478 (2007)

    Article  Google Scholar 

  14. Liew K.M., Yang J., Kitipornchai S.: Thermal post-buckling of laminated plates comprising functionally graded materials with temperature-dependent properties. J. Appl. Mech. Trans. ASME 71(6), 839–850 (2004)

    Article  MATH  Google Scholar 

  15. Na K.-S., Kim J.-H.: Three-dimensional thermomechanical buckling analysis for functionally graded composite plates. Compos. Struct. 73(4), 413–422 (2006)

    Article  MathSciNet  Google Scholar 

  16. Chen C.S., Lin C.Y., Chien R.D.: Thermally induced buckling of functionally graded hybrid composite plates. Int. J. Mech. Sci. 53(1), 51–58 (2011)

    Article  Google Scholar 

  17. Shen H.S., Li S.R.: Postbuckling of sandwich plates with FGM face sheets and temperature-dependent properties. Compos. Part B Eng. 39(2), 332–344 (2008)

    Article  Google Scholar 

  18. Wang Z.X., Shen H.S.: Nonlinear analysis of sandwich plates with FGM face sheets resting on elastic foundations. Compos. Struct. 93(10), 2521–2532 (2011)

    Article  MathSciNet  Google Scholar 

  19. Meiche N.E., Tounsi A., Ziane N., Mechab I., Bedia E.A.A.: A new hyperbolic shear deformation theory for buckling and vibration of functionally graded sandwich plate. Int. J. Mech. Sci. 53(10), 237–247 (2011)

    Article  Google Scholar 

  20. Nguyen T.-K., Sab K., Bonnet G.: First-order shear deformation plate models for functionally graded materials. Compos. Struct. 83(1), 25–36 (2008)

    Article  Google Scholar 

  21. **a X.K., Shen H.S.: Vibration of post-buckled sandwich plates with FGM face sheets in a thermal environment. J. Sound Vib. 314(1-2), 254–274 (2008)

    Article  MathSciNet  Google Scholar 

  22. Merdaci, S., Tounsi, A., Houari, M.S.A., Mechab, I., Hebali, H., Benyoucef, S.: Two new refined shear displacement models for functionally graded sandwich plates. Arch. Appl. Mech. 81(11), 1507–1522 (2011)

    Article  Google Scholar 

  23. Houari M.S.A., Benyoucef S., Mechab I., Tounsi A., Bedia E.A.A.: Two-variable refined plate theory for thermoelastic bending analysis of functionally graded sandwich plates. J. Therm. Stress. 34(4), 315–334 (2011)

    Article  Google Scholar 

  24. Li Q., Iu V.P., Kou K.P.: Three-dimensional vibration analysis of functionally graded material sandwich plates. J. Sound Vib. 311(1-2), 498–515 (2008)

    Article  Google Scholar 

  25. Zenkour A.M.: A comprehensive analysis of functionally graded sandwich plates: part 1—deflection and stresses. Int. J. Solids Struct. 42(18-19), 5224–5242 (2005)

    Article  MATH  Google Scholar 

  26. Jalali S.K., Naei M.H., Poorsolhjouy A.: Thermal stability analysis of circular functionally graded sandwich plates of variable thickness using pseudo-spectral method. Mater. Des. 31(10), 4755–4763 (2010)

    Article  Google Scholar 

  27. Zenkour A.M., Alghamdi N.A.: Bending analysis of functionally graded sandwich plates under the effect of mechanical and thermal loads. Mech. Adv. Mater. Struct. 17(6), 419–423 (2010)

    Article  Google Scholar 

  28. Suresh S., Mortensen A.: Fundamentals of Functionally Graded Materials. IOM Communications Ltd, London (1998)

    Google Scholar 

  29. Kiani Y., Bagherizadeh E., Eslami M.R.: Thermal buckling of clamped thin rectangular FGM plates resting on Pasternak elastic foundation (three approximate analytical solutions). ZAMM 91(7), 581–593 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  30. Tauchert T.R.: Thermal buckling Of thick antisymmetric angle-ply laminates. J. Therm. Stress. 10(2), 113–124 (1987)

    Article  MathSciNet  Google Scholar 

  31. Kiani, Y., Bagherizadeh, E., Eslami, M.R.: Thermal and mechanical buckling of sandwich plates with FGM face sheets resting on the Pasternak elastic foundation. Proc. IMechE Part C J. Mech. Eng. Sci. doi:10.1177/0954406211413657 (2011)

  32. Shen H.S.: Thermal post-buckling analysis of imperfect shear-deformable plates on two-parameter elastic foundation. Comput. Struct. 63(6), 1187–1193 (1997)

    Article  MATH  Google Scholar 

  33. Raju K.K., Rao G.V.: Thermal postbuckling of a square plate resting on an elastic foundation by finite element method. Comput. Struct. 28(2), 195–199 (1988)

    Article  MATH  Google Scholar 

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  1. Mechanical Engineering Department, Amirkabir University of Technology, Tehran, Iran

    Y. Kiani & M. R. Eslami

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  1. Y. Kiani
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Correspondence to M. R. Eslami.

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Kiani, Y., Eslami, M.R. Thermal buckling and post-buckling response of imperfect temperature-dependent sandwich FGM plates resting on elastic foundation. Arch Appl Mech 82, 891–905 (2012). https://doi.org/10.1007/s00419-011-0599-8

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  • DOI: https://doi.org/10.1007/s00419-011-0599-8

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