LI Shi-rong, ZHANG Jing-hua, ZHAO Yong-gang. Thermal Post-Buckling of Functionally Graded Material Timoshenko Beams[J]. Applied Mathematics and Mechanics, 2006, 27(6): 709-715.
Citation: LI Shi-rong, ZHANG Jing-hua, ZHAO Yong-gang. Thermal Post-Buckling of Functionally Graded Material Timoshenko Beams[J]. Applied Mathematics and Mechanics, 2006, 27(6): 709-715.

Thermal Post-Buckling of Functionally Graded Material Timoshenko Beams

  • Received Date: 2005-02-01
  • Rev Recd Date: 2006-02-14
  • Publish Date: 2006-06-15
  • Analysis of thermal post-buckling of FGM Timoshenko beams subjected to transversely non-uniform temperature rise is presented.By accurately considering the axial extension and transverse shear deformation in the sense of theory of Timoshenko beam,geometrically nonlinear governing equations,including seven basic unknown functions,for functionally graded beams subjected to mechanical and thermal loads were formulated.In the analysis,it was assumed that the material properties of the beam vary continuously as a power function of the thickness coordinate.By using a shooting method,the obtained nonlinear boundary value problem was numerically solved and thermal buckling and post-buckling response of transversely non-uniformly heated FGM Timoshenko beams with fixed-fixed edges were obtained.Characteristic curves of the buckling deformation of the beam varying with thermal load and the power law index are plotted.The effects of material gradient property on the buckling deformation and critical temperature of beam were discussed in details.The results show that there exists the tension-bend coupling deformation in the uniformly heated beam because of the transversely non-uniform characteristic of materials.
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  • [1]
    Koizumi M, Niino M. Overview of FGM research in Japan[J].MRS Bull,1995,20(1):19—21.
    [2]
    Feldman E, Aboudi Jacob. Buckling analysis of functionally graded plates subjected to uniaxial loading[J].Composite Structures,1997,38(1/4):29—36. doi: 10.1016/S0263-8223(97)00038-X
    [3]
    Javaheri R, Eslami M R. Thermal buckling of functionally graded plates[J]. AIAA J,2002,40(1):162—169. doi: 10.2514/2.1626
    [4]
    Ma L S, Wang T J. Axisymmetric post-buckling of a functionally graded circular plate subjected to uniformly distributed radial compression[J].Materials Science Forum,2003,(423/425):719—724.
    [5]
    Ma L S, Wang T J.Relationships between the solutions of axisymmetric bending and buckling of functionally graded circular plates based on the third-order plate theory and the classical solutions for isotropic circular plates[J].International Journal of Solids and Structures,2004,41(1):85—101. doi: 10.1016/j.ijsolstr.2003.09.008
    [6]
    Liew K M, Yang J, Kitipornchia S.Post-bucking of piezoelectric FGM plates subject to thermo~electro-mechanical loading[J].International Journal of Solids and Structures,2003,41(15):3869—3892.
    [7]
    Reddy J N, Chin C D. Thermo-mechanical analysis of functionally graded cylinders and plates[J].Journal of Thermal Stresses,1998,21(6):593—626. doi: 10.1080/01495739808956165
    [8]
    Yang J, Shen H S.Non-linear analysis of functionally graded plates under transverse and in-plane loads[J].International Journal of Non-Linear Mechanics,2003,38(4):467—482. doi: 10.1016/S0020-7462(01)00070-1
    [9]
    Ma L S, Wang T J. Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings[J].International Journal of Solids and Structures,2003,40(13/14):3311—3330. doi: 10.1016/S0020-7683(03)00118-5
    [10]
    杨杰. 功能梯度复合材料板结构的非线性力学行为与动力特性[D].博士学位论文.上海:上海交通大学,2001,42—45.
    [11]
    Li S R, Zhou Y H. Geometrically nonlinear analysis of Timoshenko beams under thermo-mechanical loadings[J].Journal of Thermal Stresses,2003,26(9):861—872. doi: 10.1080/01495730306295
    [12]
    Li S R, Zhou Y H, Zheng X J.Thermal post-buckling of a heated elastic rod with pinned-fixed ends[J].Journal of Thermal Stresses,2002,25(1):45—56. doi: 10.1080/014957302753305862
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