Optimized design of a tungsten–copper functionally graded material monoblock for minimal von Mises stress meeting the material operational temperature window

Functionally graded materials (FGMs) have become helpful in our engineering applications. Analysis of functionally graded material (FGM) plate during debonding case with different boundary conditions is the main purpose of this investigation. Elastic modulus (E) of functionally graded (FG) plate is assumed to vary continuously throughout the height of the plate, according the volume fraction of the constituent materials based on a modified sigmoid function, but the value of Poisson coefficient is constant. In this research, the finite element method (FEM) is used in order to show the shape of a plate made of FGM during debonding case with different boundary conditions. In the present investigation, the displacement value applied to the FGM plate is changed in order to find the relationship between the maximum von Mises stress and the displacement. Also, the relationship between the maximum shear stress and the displacement is carried out in the present work. The material gradient indexes of the FGM plate are changed from 1 to 10. The stress distributions around the debonding zone with all the material gradient indexes of the FGM plate are investigated in this work.

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Thermo-Mechanical Analysis of Functionally Graded Material Plate under Transverse Loading for Varying Volume Gradation

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.1155.81 ◽

2019 ◽

Vol 1155 ◽

pp. 81-88

Author(s):

Vyom Shah ◽

Darshita Shah ◽

Dhaval B. Shah

Keyword(s):

Flat Plate ◽

Functionally Graded Material ◽

Material Properties ◽

Sandwich Plate ◽

Mechanical Performance ◽

Mechanical Analysis ◽

Functionally Graded ◽

Von Mises Stress ◽

Graded Material ◽

Matlab Programming

Functionally graded material (FGM) has a unique design in which material properties vary smoothly and continuously which leads to having better thermal and mechanical performance. Functionally graded material has a wide area of application from the pressure vessel to aerospace due to its tailoring properties. The main emphasis has been made here, to present a structural mechanical and steady-state thermal analysis of functionally graded flat plate made up of aluminum and ceramic. The flat plate is subjected to various boundary and loading condition. Material properties of FGM is calculated across the thickness using power law with the help of MATLAB programming. An analysis is performed for various volume gradation using MACROS in ANSYS APDL. The analysis results for functionally graded materials are compared with a composite sandwich plate for the same boundary conditions. It was found that von-Mises stress generated in FGM is 14.6% less than compared to sandwich structure, the stress in x and y-direction is 16.5% less, XY-Shear is 13.5% less and deflection is 33% less than a sandwich plate of aluminum and ceramic.

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Stress Analysis of Functionally Graded Thick-Cylinders Subjected to Mechanical and Thermal Loads

Volume 8: Mechanics of Solids, Structures and Fluids; Vibration, Acoustics and Wave Propagation ◽

10.1115/imece2011-62707 ◽

2011 ◽

Author(s):

Jasem A. Ahmed ◽

M. A. Wahab

Keyword(s):

Thermal Loading ◽

Structural Integrity ◽

Coefficient Of Thermal Expansion ◽

Power Laws ◽

Functionally Graded ◽

Von Mises Stress ◽

Power Indices ◽

Thermal Loads ◽

Graded Material ◽

Von Mises

Thermo-mechanical stresses in functionally graded (FG) thick-walled cylindrical vessels are investigated in this paper. The cylinder is assumed to be made of a functionally graded material (FGM) with varying material properties in the radial direction. The modulus of elasticity, thermal conductivity, and coefficient of thermal expansion are expressed using power laws. The hollow cylinder is subjected to axisymmetric mechanical and thermal loading. Governing equations are developed for the desired configuration by using equations of equilibrium, stain-displacement relation, and Hooke’s law. A computer program is written in Maple −14 to show the effect of the power indices on the radial, tangential, axial, and Von-Mises stress distributions. The results are compared from the work available in the existing literature. Results show that the Von-Mises stress can be relaxed for specific gradients. Thus, appropriate gradients can be used to make functionally graded cylindrical vessels to maintain structural integrity when subjected to severe mechanical and thermal loads.

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