Abstract
The stress analysis of functionally graded thick hollow cylindrical and spherical pressure vessels under the effect of uniform magnetic field are examined. These pressure vessels are designed in such a way that the material properties and magnetic permeability are exponentially graded in radial direction, provided that the inner surface is pure metal and the outer surface is pure ceramic. The differential equations with variable coefficients obtained under these conditions are handled by both Complementary Functions Method and Pseudospectral Chebyshev Method. Benchmark solutions available in the literature for some special cases are used to confirm the results. The effects of different mixture and uniform magnetic field on stresses and displacement distribution are shown in graphical form.
Highlights
Due to the need for both high strength and heat resistant materials, scientists began to work on different materials structures
The stress analysis of functionally graded thick hollow cylindrical and spherical vessels subjected to an internal pressure under the effect of uniform magnetic field are numerically handled by both the Complementary Function Method (CFM), [23, 24] and the Pseudospectral Chebyshev Method (PCM), [25, 26]
The stress analysis of functionally graded thick cylindrical and spherical vessels subjected to an internal pressure under the effect of uniform magnetic field are discussed numerically
Summary
Due to the need for both high strength and heat resistant materials, scientists began to work on different materials structures. The idea of functionally grading the thermomechanical properties of particulate composites was first introduced and developed by a group of materials scientists working on materials in Japan [1,2]. In this context, the functionally graded materials (FGMs) [3] are obtained by forming different types of materials according to a certain rule. The functionally graded materials (FGMs) [3] are obtained by forming different types of materials according to a certain rule These materials are generally considered to be a model that varies continuously from one surface to another. FGMs can be used in many areas, such as in nuclear field, space field, medical field, energy field, etc
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