Exact solution for stability analysis of moderately thick functionally graded sector plates on elastic foundation

Geometrically non-linear bending analysis of thick two-directional functionally graded annular sector and rectangular plates with variable thickness resting on non-linear elastic foundation

“…Therefore, a rather large amount of work has been done on this issue [51][52][53][54][55][56][57][58][59][60][61][62][63][64]. There are also a number of studies on geometrically non-linear analysis of annular sector plates [65][66][67][68][69][70][71][72][73][74][75][76][77].…”

Effect of boundary conditions on the interfacial fracture behavior: Circular arc antiplane crack model for an annular sector bilayer plate

“…Xiao et al [13] exhibited a unified study of finite bending problems for elastic Hill materials. Naderi and Saidi [14] presented an exact analytical solution for buckling analysis of moderately thick functionally graded sector plates based on the Winkler elastic foundation, and observed that the elastic foundation has the most important influence on the critical buckling load with free circular edge to those with the other boundary conditions. Based on the three-dimensional theory of elasticity and the differential quadrature method, axisymmetric static analysis of functionally graded circular and annular plates imbedded in piezoelectric layers were investigated by Alibeigloo and Simintan [15].…”

Post-buckling analysis of FGM annular sector plates based on three dimensional elasticity graded finite elements

“…Hence it is important to investigate the post-buckling behavior of FGM annular sector plates subjected to in-plane mechanical loads to determine an accurate design of these structural elements. A survey in the literature reveals the existence of limited works on buckling of the FGM annular sector plates [58][59][60][61][62]. For example, Hosseini-Hashemi et al [58] investigated buckling and free vibration behaviors of radially graded circular and annular sector thin plates subjected to uniform in-plane compressive loads and resting on the Pasternak elastic foundation.…”

“…They obtained critical buckling loads of the FGM circular/annular sector plates under simply supported and clamped boundary conditions based on the classical plate theory by using differential quadrature method. Naderi and Saidi [59,60] presented an exact analytical solution for buckling analysis of moderately thick FG sector and annular plates having simply supported boundary condition on the straight edges resting on Winkler elastic foundation by using the first order shear deformation plate theory. Based on three dimensional elasticity graded finite elements, Asemi et al [62] investigated biaxial buckling analysis of FGM annular sector plates fully or partially supported on Winkler elastic foundation.…”