Abstract
In this paper a new eight-unknown higher order shear deformation theory is proposed to study the buckling and free vibration of functionally graded (FG) material plates. The theory bases on full twelve-unknown higher order shear deformation theory, simultaneously satisfies zero transverse shear stress at the top and bottom surfaces of FG plates. Equations of motion are derived from Hamilton's principle. The critical buckling load and the vibration natural frequency are analyzed. The accuracy of present analytical solution is confirmed by comparing the present results with those available in existing literature. The effect of power law index of functionally graded material, side-to-thickness ratio on buckling and free vibration responses of FG plates is investigated.
Highlights
Ever since invented by Japanese scientists in the 80s of the last century, Functionally Graded Materials (FGMs) has been more and more widely applied in many fields such as aircraft industry, nuclear industry, civil engineering, automotive, biomechanics, optics
In order to emphasize the efficiency of present eight-unknown higher order shear deformation theories (HSDTs), the calculated results are compared with other shear deformation theories
The following models of shear deformation theories are used : higher-order shear deformation theory with 12 unknowns (HSDT-12): u = u0 + z x + z2u0* + z 3 x* ; v = v0 + z y + z 2v0* + z 3 y* ; w = w0 + z z + z2w0* + z 3 z* ; HSDT-5: u
Summary
Ever since invented by Japanese scientists in the 80s of the last century, Functionally Graded Materials (FGMs) has been more and more widely applied in many fields such as aircraft industry, nuclear industry, civil engineering, automotive, biomechanics, optics. In order to correct this inaptitude, the first-order shear deformation theories (FSDT) have been initially proposed by Reissner and further developed by Mindlin. FSDT describes more realistic behavior of thin to moderately thick plates, the parabolic distribution of transverse shear stress through the thickness of the plate is not properly reflected, the shear correction factor is introduced. The determination of this factor is not simple as it depends on the loading, boundary condition, materials etc
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
