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

“…1. This panel is made from four different constituent materials whose properties P are changed simultaneously in two directions (z, x) during thickness and longitudinal directions as a function of the volume fraction and material properties [7].…”

Section: Geometry Of Model and Materials Distributionmentioning

confidence: 99%

“…The subscripts c1 and c2 denote to first and second ceramic while m1 and m2 first and second metal constituents and Vij (i = c, m and j = 1, 2) represents volume fraction of the material constituents ij which can be described by a power-law distribution as [7]:…”

Section: Geometry Of Model and Materials Distributionmentioning

confidence: 99%

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Static analysis of two-directional functionally graded cylindrical panels under the effect of symmetric loads using finite element method (FEM)

Mohammed¹,

Hasan²

2019

AJES

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This paper offers the linear analysis of the static behavior of two directional functionally graded (2D-FG) cylindrical panels under the effect of internal symmetric loads. The mechanical properties of the cylindrical panel are given to be changed simultaneously through the thickness and longitudinal directions as a function to the volume fraction of the constituents by a simple power-law distribution. Based on Sander's first order shear deformation shell theory (FSDT), the equations of motion for (2D-FG) panels are derived using the principle of minimum total potential energy (MPE). The finite element method (FEM) as an effective numerical tool is utilized to solve the equations of motion. The model has been compared with those available in the literature and it observed good correspondence. The influences of the material variation along the thickness and longitudinal directions, geometrical parameters, boundary conditions and load parameters on the panel deformation are studied in detail.

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“…Further, numerous investigations were performed to analyze the BDFGM plate structures in the framework of three-dimensional elasticity equations, analytical methods, finite element methods, iso-geometric approach, and several shear deformation theories. 7,[33][34][35][36][37][38][39] Many studies on BDFGM plates have been carried out to examine the flexural, 3,5,32,37,[40][41][42][43][44] vibrational, [45][46][47][48][49][50][51][52] and stability 7,40,53,54 behavior of the BDFGM and MDFGM plates. Besides, Lezgy-Nazargah 55 employed the NURBS-dependent isogeometric finite element (FE) approach to examine the thermo-mechanical behavior of BDFGM beams.…”

Section: Introductionmentioning

confidence: 99%

Geometrically nonlinear behavior of two-directional functionally graded porous plates with four different materials

Shivaramaiah

Kattimani

Shariati

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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This article investigates the influence of porosity distributions on the nonlinear behavior of two-directional functionally graded porous plates (TDFGPP) made from four distinct materials for the first time. A simple and effectual approach is established based on the improved generalized shear deformation plate theory (GSDPT) and von Karman’s assumptions. The GSDPT incorporates transverse shear strains with a higher order polynomial to avoid shear locking. The TDFGPP constitutes four different materials, and the modified power-law function is employed to vary the material properties continuously in both transverse and longitudinal directions. The governing equations are obtained using a nonlinear finite element approach in conjunction with Hamilton’s principle. Then, the direct iterative and Newmark’s methods are incorporated to accomplish the numerical results. Finally, the influence of volume fraction grading indices, porosity distributions, porosity volume, thickness ratio, and aspect ratio for different support conditions provides a thorough insight into the linear and nonlinear responses of the porous plate. In addition, this study emphasizes the influence of the volume fraction gradation profiles with four different materials on the linear frequency, nonlinear frequency, and deflections of the TDFGPP. The numerical analysis reveals that the frequencies and nonlinear deformations can be significantly regulated by changing the volume fraction gradation profiles in specified directions with appropriate materials. Hence, two-directional functionally graded materials panels can overcome the drawbacks of the functionally graded materials with a gradation of properties in a single direction.

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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

Cited by 38 publications

References 137 publications

Large Deflection Analysis of Prismatic Cantilever Beam Comparatively by Using Combing Method and Iterative DQM

Large Deflection Analysis of Prismatic Cantilever Beam Comparatively by Using Combing Method and Iterative DQM

Static analysis of two-directional functionally graded cylindrical panels under the effect of symmetric loads using finite element method (FEM)

Geometrically nonlinear behavior of two-directional functionally graded porous plates with four different materials

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