Limit Elastic Analysis of Functionally Graded Rotating Disks Under Thermo-Mechanical Loading

The behavior of thermo-mechanical stresses in functionally graded axisymmetric rotating hollow disks with variable thickness is analyzed. The material is assumed to be functionally graded in the radial direction. First, a two-dimensional axisymmetric model of the functionally graded rotating disk is developed using the finite element method. Exact solutions for stresses are then obtained assuming that the plane theory of elasticity holds. These solutions are in accordance with finite element ones, thus showing the validity of the assumption. Finally, in order to reduce the maximum equivalent stress along the radius, the optimization of the material distribution is addressed. To avoid subsequent finite element simulations in the optimization process, which can be computationally demanding, a nonlinear constrained optimization problem is proposed, for which the solution is obtained numerically by the sequential quadratic programming method, showing prominent results in terms of equivalent stress uniformity.

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Elastic analysis of exponential FGM disks subjected to internal and external pressure

Open Engineering ◽

10.2478/s13531-013-0110-0 ◽

2013 ◽

Vol 3 (3) ◽

Cited By ~ 1

Author(s):

Mohammad Nejad ◽

Majid Abedi ◽

Mohammad Lotfian ◽

Mehdi Ghannad

Keyword(s):

Radial Direction ◽

Circumferential Stress ◽

External Pressure ◽

Functionally Graded ◽

Elastic Analysis ◽

The Finite Element Method ◽

Graded Materials ◽

Material Inhomogeneity ◽

Closed Form Analytical Solution ◽

Stress Profiles

AbstractAssuming exponential varying properties in the radial direction and constant Poisson’s ratio, a closed-form analytical solution based on the elasticity theory is obtained to elastic analysis of disks made of functionally graded materials (FGMs) subjected to internal and external pressure. Following this, radial displacement, radial stress, and circumferential stress profiles are plotted for different values of material inhomogeneity constant, as a function of radial direction. The displacements and stresses distributions are compared with the solutions of the finite element method (FEM) and comparison with the corresponding numerical solution indicates that the proposed solution has excellent convergence and accuracy.

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Dynamic Behavior of FGM Doubly Curved Panel due to Mechanical Loading

Materials Science Forum ◽

10.4028/www.scientific.net/msf.950.200 ◽

2019 ◽

Vol 950 ◽

pp. 200-204

Author(s):

Guang Ping Zou ◽

Nadiia Dergachova

Keyword(s):

Mechanical Loading ◽

Volume Fraction ◽

Equivalent Stress ◽

Functionally Graded ◽

Excitation Mode ◽

Simply Supported ◽

Curved Panel ◽

Von Mises Equivalent Stress ◽

Von Mises ◽

Doubly Curved

This study presents the dynamic response analyze of a simply supported and isotropic functionally graded (FG) double curved panel under mechanical loading. The aim of the research was to investigate mechanical behavior in a FGM curved panel due to different excitation mode of dynamic loading. The novelty of this research is an investigation of von Mises equivalent stress distribution in double curved panel due to different excitation mode. Computed results are found to agree well with the results reported in the literature. Moreover, influence of volume fraction of the material is studied.

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