Static deflections of symmetrically laminated quasi-isotropic super-elliptical thin plates

Bending of Super-Elliptical Mindlin Plates by Finite Element Method

“…The bending results obtained for clamped super-elliptical plates under transverse uniform pressure in the current study were compared with those presented by Ceribasi et al (2008) [61], Ceribasi (2012) [63], Zhang (2013) [64], and Altunsaray (2017) [68] (Table 7). In these publications, the trial function was constructed as the product of the basic function and a complete two dimensional polynomial function of degree d. Since the results corresponding to k>10 have not been presented in these publications, a relation between the maximum deflection of super-elliptical plates and that of rectangular plates is not available in the literature.…”

“…Despite the recently published papers, the studies on the analysis of super-elliptical plates have mostly been made for the dynamic behavior, and generally thin plates have been investigated [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59]. To the best of the author's knowledge, there are only nine published papers on the bending of superelliptical plates all of which focused on thin plates only [60][61][62][63][64][65][66][67][68]. Thus, the current work was motivated by the lack of contributions on the bending analysis of shear deformable superelliptical plates.…”

Modeling the dynamic bending of rigid-plastic fiber-reinforced laminated curvilinear doubly connected thin plates with free outer contour

“…As another example, let us calculate limit loads of a circular laminated plate with a hole L 1 in the form of a super-ellipse [36] (Figure 11), which is reinforced with fibers of constant cross-section. The contour L 1 is described by the equations (for eighth part of the plate):…”

Nonlinear Bending and Thermal Post-buckling Analysis of FGM Super Elliptical Thin Plates

“…Super elliptical plates which are defined by shapes between an ellipse and a rectangle have a wide range of use in engineering applications. Some studies [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] for linear behaviors of super elliptical plates are available in the literature. Wang et al [1] presented accurate frequency and buckling factors for super elliptical plates with either simply supported or clamped edges by using Rayleigh-Ritz method.…”

“…Ghaheri et al [15] investigated static and parametric stability of thin symmetrically laminated composite super-elliptical plates resting on Winkler-type foundation and subjected to uniform in-plane harmonic loads, under clamped, simply supported and free boundary conditions. Altunsaray [16] presents static bending analyses of symmetrically laminated quasi-isotropic super-elliptical thin plates, and calculations were performed by using the Rayleigh-Ritz method based on the classical laminated plate theory.…”