Bending behaviour of two directional functionally graded sandwich beams by using a quasi-3d shear deformation theory

Flexure Analysis of Laminated Composite and Sandwich Beams Using Timoshenko Beam Theory

“…Three types of uniformly node distributions in the problem domain are employed for numerical calculations, 41, 81 and 161 nodes based on the experience of previous studies [22][23]. The following weight function used in [23] is employed for the analysis: The results are given in Table 3-4 along with the results from previous studies. It is clear that the results obtained by using the SSPH method agree completely with those of previous papers [5,8].…”

“…Meshless methods are the most promising and have attracted considerable attention for the analysis of engineering problems with intrinsic complexity. Meshless methods are widely used in static and dynamic analyses of the isotropic, laminated composite and functionally graded beam problems [15][16][17][18][19][20][21][22][23]. However, the studies are very limited regarding to the flexure analysis of laminated composite and sandwich beams by employing a meshless method [24][25][26][27].…”

Elastostatic Bending of a 2d-FGSW Beam Under Nonuniform Distributed Loads

“…Both Voigt model and Mori-Tanaka scheme have been employed by the author to evaluate the effective material properties of the beams. Recently, Karamanli [37] adopted the qusi-3D theory to derive the equilibrium equations for bending of a two-directional functionally graded sandwich (2D-FGSW) beam under uniform distributed loads. The response of the beam has been computed with the aid of the symmetric smoothed particle hydrodynamics method to compute the deflections and stresses.…”

“…The above literature review shows that there is only one study on behavior of the 2D-FGSW beams carried out by Karamanli in [37] by using the symmetric smoothed particle hydrodynamics method so far. In this paper, the elastostatic bending behavior of a 2D-FGSW beam under various types on nonuniform distributed loads is further considered by the finite element method.…”

Bending Analysis of Two Directional Functionally Graded Beams Using A Four-Unknown Shear and Normal Deformation Theory

“…The static behavior of the two directional FGBs by using various beam theories is presented in [30]. The flexure of the two directional FG sandwich beams is analyzed in [31]. As it is seen from above discussions, the studies employing a shear and normal deformation theory which includes both shear deformation and thickness stretching effects related to static and dynamic analysis of the two-directional FGBs are very limited according to the author knowledge.…”