Abstract
In this study, the modified Rayleigh-Ritz method and Fourier series are used to determine the thermal buckling behavior of laminated composite thin plates with a general elastic boundary condition applied to in-plane uniform temperature distribution depending upon classical laminated plate theory(CLPT). A generalized procedure solution is developed for the Rayleigh-Ritz method combined with the synthetic spring technique. The transverse displacement of the orthotropic rectangular plates is not a different term as a new shape expansion of trigonometric series. In this solution approach, the plate transverse deflection and rotation due to bending are developed into principle Fourier series with a sufficient smoothness auxiliary polynomial function, the variable of boundary condition can be easily done by only change the boundary spring stiffness of at the all boundaries of laminated composite plate without achieving any replacement to the solution. The accuracy of the current outcome is verified by comparing with the result obtained from other analytical methods in addition to the finite element method (FEM), so the excellent of this technique is proving during numerical examples.
Highlights
The materials composite is widely employed in different enforcement, engineering specialties in mechanical and civil engineering, each type of composites are suitable for a particular temperature range and may behave elastically, but has variable mechanical properties and thermal expansion characteristics
The choosing of suitable admissible functions is of high significance when applying the method of Rayleigh-Ritz due to precision of the results; many investigations had researched about thermal buckling of laminated plate by using classical laminated plate theory but no one study with general boundary condition by using spring technique. (Hiroyuki Matsunaga, 2006). presented a two-dimensional global higher-order deformation theory for thermal buckling angleply laminated composite and sandwich plates, using the method of the power series expansion of continuous displacement components after the differential equations of higher order is solved, the effects of the 3D layerwise theory and the theory are refined of angle-ply laminated thermal buckling. (Houdayfa OUNIS, et al, 2014) studied the thermal buckling behavior of composite laminated plates under a uniform temperature distribution
This study investigates the critical temperature of buckling laminated composite thin plate with general boundary condition, based on classical laminated plate theory and using Rayleigh-Ritz method, the displacement function as Fourier cosine series plus a continuous function so the effect of boundary conditions, aspect ratio, length to thickness ratio, angle-ply orientation, and different composite materials properties are examined
Summary
The materials composite is widely employed in different enforcement, engineering specialties in mechanical and civil engineering, each type of composites are suitable for a particular temperature range and may behave elastically, but has variable mechanical properties and thermal expansion characteristics. (Jinqiang Li, et al, 2016) studied the influence of random system properties of critical thermal buckling temperature of composite laminated plates through temperature-dependent properties by applying a micromechanical approach, depends on the CLPT in coupling by Hamilton’s basic. Material properties, coefficients of thermal expansion, angels of layer, aspect ratios, and B Cs, their effect on the critical temperature of thermal buckling is studied. This study investigates the critical temperature of buckling laminated composite thin plate with general boundary condition, based on classical laminated plate theory and using Rayleigh-Ritz method, the displacement function as Fourier cosine series plus a continuous function so the effect of boundary conditions, aspect ratio, length to thickness ratio, angle-ply orientation, and different composite materials properties are examined.
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