The buckling and postbuckling behaviors of eccentrically stiffened sandwich plates on elastic foundations subjected to in-plane compressive loads, thermal loads, or thermomechanical loads are presented analytically by using the Reddy’s third-order shear deformation plate theory with von Karman geometrical nonlinearity. Four cases of general Sigmoid and power laws are considered. The material properties of the facesheets, the core layer, and stiffeners are assumed to be temperature-dependent. Theoretical formulations based on the smeared stiffeners technique and third-order shear deformation plate theory are derived. The expressions of thermal parameters are found in the analytical form. Applying the Galerkin method, the expressions for determination of the critical buckling load and analysis of the postbuckling mechanical and thermal load–deflection curves are obtained. The iterative algorithm is presented for the case of temperature-dependent plate material properties. In addition, the influences of thermal element, functionally graded material stiffeners, the facesheet thickness to total thickness ratio, initial imperfection, and foundations are clarified in detail.
JavaheriREslamiMR. Thermal buckling of functionally graded plates based on the higher order theory. J Therm Stress2002; 25: 603–625.
4.
Samsam ShariatBAEslamiMR. Buckling of thick functionally graded plates under mechanical and thermal loads. Compos Struct2007; 78: 433–439.
5.
ReddyJN. A simple higher-order theory for laminated composite plates. J Appl Mech1984; 51: 745–752.
6.
ReddyJN. Analysis of functionally graded plates. Int J Numer Meth Eng2000; 47: 663–684.
7.
ReddyJN. Mechanics of laminated composite plates and shells: Theory and analysis, New York: CRC Press, 2004.
8.
FerreiraAJMRoqueCMCNevesAMAet al.Buckling analysis of isotropic and laminated plates by radial basis functions according to a higher-order shear deformation theory. Thin Walled Struct2011; 49: 804–811.
LanheW. Thermal buckling of a simply supported moderately thick rectangular FGM plate. Compos Struct2004; 64: 211–218.
11.
KhabbazRSManshadiBDAbedianA. Nonlinear analysis of FGM plates under pressure loads using the higher-order shear deformation theories. Compos Struct2009; 89: 333–344.
12.
DucNDTungHV. Mechanical and thermal postbuckling of higher order shear deformable functionally graded plates on elastic foundations. Compos Struct2011; 93: 2874–2881.
13.
SofiyevAH. Thermoelastic stability of freely supported functionally graded conical shells within the shear deformation theory. Compos Struct2016; 152: 74–84.
14.
ShenHS. Thermal postbuckling behavior of shear deformable FGM plates with temperature-dependent properties. Int J Mech Sci2007; 49: 466–478.
15.
ShenHSWangZX. Nonlinear bending of FGM plates subjected to combined loading and resting on elastic foundations. Compos Struct2010; 92: 2517–2524.
16.
ZenkourAM. A comprehensive analysis of functionally graded sandwich plates: Part 1-Deflection and stresses. Int J Solid Struct2005; 42: 5224–5242.
17.
ZenkourAM. A comprehensive analysis of functionally graded sandwich plates: Part 2-Buckling and free vibration. Int J Solid Struct2005; 42: 5243–5258.
18.
ZenkourAMAlghamdiNA. Thermoelastic bending analysis of functionally graded sandwich plates. J Mater Sci2008; 43: 2574–2589.
19.
ZenkourAMAlghamdiNA. Bending analysis of functionally graded sandwich plates under the effect of mechanical and thermal loads. Mech Adv Mater Struct2010; 17: 419–432.
20.
ZenkourAMSobhyM. Thermal buckling of various types of FGM sandwich plates. Compos Struct2010; 93: 93–102.
21.
ShenHSLiSR. Postbuckling of sandwich plates with FGM face sheets and temperature-dependent properties. Compos Part B: Eng2008; 39: 332–344.
22.
WangZXShenHS. Nonlinear analysis of sandwich plates with FGM face sheets resting on elastic foundations. Compos Struct2011; 93: 2521–2532.
23.
ThaiHTNguyenTKVoTPet al.Analysis of functionally graded sandwich plates using a new first-order shear deformation theory. Eur J Mech A/Solids2014; 45: 211–225.
24.
TungHV. Thermal and thermomechanical postbuckling of FGM sandwich plates resting on elastic foundations with tangential edge constraints and temperature dependent properties. Compos Struct2015; 131: 1028–1039.
25.
SofiyevAH. The vibration and buckling of sandwich cylindrical shells covered by different coatings subjected to the hydrostatic pressure. Compos Struct2014; 117: 124–134.
26.
SofiyevAHHuiDNajafovAMet al.Influences of shear stresses and rotary inertia on the vibration of functionally graded coated sandwich cylindrical shells resting on the Pasternak elastic foundation. J Sandwich Struct Mater2015; 17: 691–720.
27.
SofiyevAHHuiDHuseynovSEet al.Stability and vibration of sandwich cylindrical shells containing a functionally graded material core with transverse shear stresses and rotary inertia effects. Proc IMecE, Part C: J Mechanical Engineering Science2016; 230: 2376–2389.
28.
TimoshenkoSPGereJM. Theory of elastic stability, New York: McGraw-Hill, 1961.
29.
SteenE. Elastic buckling and postbuckling of eccentrically stiffened plates. Int J Solids Struct1989; 25: 751–768.
NajafizadehMMHasaniAKhazaeinejadP. Mechanical stability of functionally graded stiffened cylindrical shells. Appl Math Model2009; 33: 1151–1157.
32.
DungDVNamVH. Nonlinear dynamic analysis of eccentrically stiffened functionally graded circular cylindrical thin shells under external pressure and surrounded by an elastic medium. Eur J Mech A/Solids2014; 46: 42–53.
33.
DungDVHoaLKNgaNT. On the stability of functionally graded truncated conical shells reinforced by functionally graded stiffeners and surrounded by an elastic medium. Compos Struct2014; 108: 77–90.
34.
DungDVHoaLK. Nonlinear torsional buckling and postbuckling of eccentrically stiffened FGM cylindrical shells in thermal environment. Compos Part B: Eng2015; 69: 378–388.
35.
ChiSHChungYL. Mechanical behavior of functionally graded material plates under transverse load - Part 1, Analysis. Int J Solids Struct2006; 43: 3657–3674.
36.
ShenHS. Functionally graded materials: Nonlinear analysis of plates and shells, Boca Raton, FL: CRC Press LLC, 2009.
37.
ReddyJNChinCD. Thermo-mechanical analysis of functionally graded cylinders and plates. J Therm Stress1998; 21: 593–626.
38.
BrushDOAlmrothBO. Buckling of bars, plates and shells, New York: McGraw-Hill, 1975.
39.
BirmanVBertCW. Dynamic stability of reinforced composite cylindrical shells in thermal fields. J Sound Vib1990; 142: 183–190.
