Stress Analysis for Cylinder Made of FGM and Subjected to Thermo-Mechanical Loadings (original) (raw)
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Mechanical And Thermal Stresses In Functionally Graded Cylinders
2014
In this study, thermal elastic stress distribution occurred on long hollow cylinders made of functionally graded material (FGM) was analytically defined under thermal, mechanical and thermo mechanical loads. In closed form solutions for elastic stresses and displacements are obtained analytically by using the infinitesimal deformation theory of elasticity. It was assumed that elasticity modulus, thermal expansion coefficient and density of cylinder materials could change in terms of an exponential function as for that Poisson's ratio was constant. A gradient parameter n is chosen between - 1 and 1. When n equals to zero, the disc becomes isotropic. Circumferential, radial and longitudinal stresses in the FGMs cylinders are depicted in the figures. As a result, the gradient parameters have great effects on the stress systems of FGMs cylinders.
An exact analytical elasto-plastic solution for thick-walled cylinder made of functionally graded materials (FGMs) subjected to combined pressure and thermal loading is presented in this paper. It is assumed that the cylinder is bonded at both ends, the material is radially graded and complies with the elastic perfectly plastic behavior. The relations in determining the plastic zone radius as well as the radial, circumferential, longitudinal and effective stresses in both elastic and plastic zones are obtained for any combined loading condition. Moreover, using ABAQUS/Explicit software, the functionally graded (FG) cylinder is simulated in every respect. Comparison of the present theoretical results with those from a finite element simulation illustrates the accuracy of the present analysis.
2016
This research develops thermo-elastic analysis of a functionally graded cylinder under thermo-mechanical loadings. Heat conduction equation in cylindrical coordinate system is solved. Thermal conductivity coefficient is graded along the radial direction. By considering a symmetric distribution of temperature, loading and boundary conditions, strain-displacement and stress-strain relations can be developed. Material properties such as modulus of elasticity are graded along the radial direction. For validation of the obtained results; a complete numerical analysis using finite element approach is presented.
Materials
In this study, a thick hollow axisymmetric functionally graded (FG) cylinder is investigated for steady-state elastic stresses using an iteration technique and the finite element method. Here, we have considered a functionally graded cylinder tailored with the material property, namely, Young’s modulus, varying in an exponential form from the inner to outer radius of the cylinder. A mathematical formulation for stress analysis of functionally graded cylinder under internal and external pressure conditions is developed using constitutive relations for stress–strain, strain–displacement relations and the equation of equilibrium. The effect of the in-homogeneity parameter on radial displacement, radial and tangential stresses in a functionally graded cylinder made up of a High Carbon Steel (HCS) metal matrix, reinforced with Magnesium Oxide (MgO) ceramic is analyzed. The iterative method implemented is fast and converges to the solution which can be further improved by considering a hi...
2016
Using non-dimensional parameters, the governing equations of the homogeneous and heterogeneous cylinders made of functionally graded material (FGM) were derived under a combination of thermo-mechanical loads. The equations were solved analytically and numerically in a severe temperature and pressure gradient environment. The radial and circumferential stresses together with the radial displacement of FGM cylinder were analytically evaluated and the obtained results of heterogeneous FGM cylinder were compared with conventional homogeneous one. Moreover, in order to assess the accuracy of the derived equations, a numerical solution (NS) was performed using finite element method which was in accordance with the analytical solution (AS). The results of present work show that the use of FGM can optimize the cylinders which are exposed to the joint mechanical and thermal loads.
2012
The demand for improved structural efficiency in space structures and nuclear reactors has resulted in the development of a new class of materials, called functionally graded materials (fgMs). fgMs have become one of the major research topics in the mechanics of materials community during the past fifteen years. The concept of FGMs was proposed in 1984 by materials’ scientists in the Sendai (Japan) area as a means of preparing thermal barrier materials1. continuous changes in the composition, microstructure, porosity, etc. of these materials result in gradients in properties such as mechanical strength and thermal conductivity. thus, fgMs are heterogeneous materials, characterized by spatially variable microstructures, and thus spatially variable macroscopic properties are introduced to enhance material or structural performance. Particularly, material properties can be A simplified and accurate analytical cum numerical model is presented here to investigate the behavior of FG cylin...