Stress Analysis of Functionally Graded Disk with Exponentially Varying Thickness using Iterative Method

In this paper, variable thickness disk made up of functionally graded material (FGM) under internal and external pressure is analyzed using a simple iteration technique. Thickness of FGM disk and the material property, namely, Young’s modulus are varying exponentially in radial direction. Poisson’s ratio is considered invariant for the material. Navier equation is used to formulate the problem in the differential equation form under plane stress condition. Displacement, stresses, and strains are obtained under the influence of material gradation and variable thickness. Three different material combinations are considered for the FGM disk. The mechanical response of disk obtained for different functionally graded material combinations are compared with the homogenous disk, and results are plotted graphically

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Nonlinear buckling behavior of functionally graded material sandwich cylindrical shells with tangentially restrained edges subjected to external pressure and thermal loadings

Journal of Sandwich Structures & Materials ◽

10.1177/1099636220908855 ◽

2020 ◽

pp. 109963622090885

Author(s):

Pham Thanh Hieu ◽

Hoang Van Tung

Keyword(s):

Functionally Graded Material ◽

Cylindrical Shells ◽

External Pressure ◽

Functionally Graded ◽

Nonlinear Buckling ◽

Buckling Behavior ◽

Graded Material

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Safety Analysis Using Lebesgue Strain Measure of Thick-Walled Cylinder for Functionally Graded Material under Internal and External Pressure

The Scientific World JOURNAL ◽

10.1155/2013/676190 ◽

2013 ◽

Vol 2013 ◽

pp. 1-10 ◽

Cited By ~ 8

Author(s):

A. K. Aggarwal ◽

Richa Sharma ◽

Sanjeev Sharma

Keyword(s):

Circular Cylinder ◽

Functionally Graded Material ◽

Safety Analysis ◽

External Pressure ◽

Functionally Graded ◽

Transition Theory ◽

Strain Measure ◽

Graded Material ◽

Homogeneous Cylinder ◽

Walled Cylinder

Safety analysis has been done for thick-walled circular cylinder under internal and external pressure using transition theory which is based on the concept of generalized principal Lebesgue strain measure. Results have been analyzed theoretically and discussed numerically. From the analysis, it can be concluded that circular cylinder made of functionally graded material is on the safer side of the design as compared to homogeneous cylinder with internal and external pressure, which leads to the idea of “stress saving” that minimizes the possibility of fracture of cylinder.

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ON THE MECHANICAL RESPONSE OF A PRESSURIZED FUNCTIONALLY-GRADED CYLINDER

Contemporary Materials ◽

10.7251/comen1401026l ◽

2014 ◽

Vol 5 (1) ◽

Author(s):

Vlado Lubarda

Keyword(s):

Shear Stress ◽

Power Law ◽

Functionally Graded Material ◽

Elastic Moduli ◽

Mechanical Response ◽

Maximum Shear Stress ◽

Radial Distance ◽

Functionally Graded ◽

Graded Material ◽

Radial Inhomogeneity

A pressurized functionally-graded cylinder is considered made of the material whose elastic moduli vary with the radial distance according to the power-law relation. Some peculiar features of the mechanical response are noted for an incompressible functionally-graded material with the power of radial inhomogeneity equal to two. In particular, it is shown that the maximum shear stress is constant throughout the cylinder, while the displacement changes proportional to 1/r along the radial distance. No displacement takes place at all under equal pressures applied at both boundaries.

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Formulation of a New Mixed Four-Node Quadrilateral Element for Static Bending Analysis of Variable Thickness Functionally Graded Material Plates

Mathematical Problems in Engineering ◽

10.1155/2021/6653350 ◽

2021 ◽

Vol 2021 ◽

pp. 1-23

Author(s):

Pham Van Vinh

Keyword(s):

Functionally Graded Material ◽

Variable Thickness ◽

Mixed Finite Element ◽

Plate Thickness ◽

Functionally Graded ◽

Thin Plates ◽

Quadrilateral Element ◽

Graded Material ◽

Element Technique ◽

Power Law Index

A new mixed four-node quadrilateral element (MiQ4) is established in this paper to investigate functionally graded material (FGM) plates with variable thickness. The proposed element is developed based on the first-order shear deformation and mixed finite element technique, so the new element does not need any selective or reduced numerical integration. Numerous basic tests have been carried out to demonstrate the accuracy and convergence of the proposed element. Besides, the numerical examples show that the present element is free of shear locking and is insensitive to the mesh distortion, especially for the case of very thin plates. The present element can be applied to analyze plates with arbitrary geometries; it leads to reducing the computation cost. Several parameter studies are performed to show the roles of some parameters such as the power-law index, side-to-thickness ratio, boundary conditions (BCs), and variation of the plate thickness on the static bending behavior of the FGM plates.

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Buckling analysis of circular functionally graded material plate having variable thickness under uniform compression by finite-element method

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1243/09544062jmes636 ◽

2007 ◽

Vol 221 (11) ◽

pp. 1241-1247 ◽

Cited By ~ 23

Author(s):

M H Naei ◽

A Masoumi ◽

A Shamekhi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Functionally Graded Material ◽

Variable Thickness ◽

Buckling Analysis ◽

Functionally Graded ◽

Buckling Load ◽

Simply Supported ◽

Graded Material ◽

Element Method

The current study presents the buckling analysis of radially-loaded circular plate with variable thickness made of functionally graded material. The boundary conditions of the plate is either simply supported or clamped. The stability equations were obtained using energy method based on Love-Kichhoff hypothesis and Sander's non-linear strain-displacement relation for thin plates. The finite-element method is used to determine the critical buckling load. The results obtained show good agreement with known analytical and numerical data. The effects of thickness variation and Poisson's ratio are investigated by calculating the buckling load. These effects are found not to be the same for simply supported and clamped plates.

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A New Beam Model for Simulation of the Mechanical Behaviour of Variable Thickness Functionally Graded Material Beams Based on Modified First Order Shear Deformation Theory

Materials ◽

10.3390/ma12030404 ◽

2019 ◽

Vol 12 (3) ◽

pp. 404 ◽

Cited By ~ 5

Author(s):

Vu Nam ◽

Pham Vinh ◽

Nguyen Chinh ◽

Do Thom ◽

Tran Hong

Keyword(s):

Mechanical Behavior ◽

Functionally Graded Material ◽

Variable Thickness ◽

Deformation Theory ◽

Shear Deformation Theory ◽

Functionally Graded ◽

Beam Model ◽

First Order ◽

Graded Material ◽

Fgm Beam

There are many beam models to simulate the variable thickness functionally graded material (FGM) beam, each model has advantages and disadvantages in computer aided engineering of the mechanical behavior of this beam. In this work, a new model of beam is presented to study the mechanical static bending, free vibration, and buckling behavior of the variable thickness functionally graded material beams. The formulations are based on modified first order shear deformation theory and interpolating polynomials. This new beam model is free of shear-locking for both thick and thin beams, is easy to apply in computation, and has efficiency in simulating the variable thickness beams. The effects of some parameters, such as the power-law material index, degree of non-uniformity index, and the length-to-height ratio, on the mechanical behavior of the variable thickness FGM beam are considered.

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