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Elasticity Solutions of Functionally Graded Pressure Vessels: An Analytical and Numerical Study
The theory of infinitesimal elasticity is a well-known technique used to calculate the analytical elasticity solutions of pressure vessels composed of functionally graded materials and subjected to internal pressure. The elasticity modulus is varied according to the power-law equation and considered the constant Poisson’s ratio value throughout the thickness of the pressure vessel. From equilibrium equations of pressure vessel, the required differential equations were derived in terms of radial displacement. These differential equations were simplified in the form of the Euler–Cauchy equation to accomplish analytical solutions. The finite element analysis is carried out in ANSYS software to validate analytical results. The comparison of numerical and analytical results are in good agreement to an accuracy of 3%. Further, the displacement and stress values calculated by varying inhomogeneity constant (β) and the results were plotted in graphs. Finally, the inhomogeneity constant (β) showed a significant effect on circumferential stress.
Elasticity Solutions of Functionally Graded Pressure Vessels: An Analytical and Numerical Study
The theory of infinitesimal elasticity is a well-known technique used to calculate the analytical elasticity solutions of pressure vessels composed of functionally graded materials and subjected to internal pressure. The elasticity modulus is varied according to the power-law equation and considered the constant Poisson’s ratio value throughout the thickness of the pressure vessel. From equilibrium equations of pressure vessel, the required differential equations were derived in terms of radial displacement. These differential equations were simplified in the form of the Euler–Cauchy equation to accomplish analytical solutions. The finite element analysis is carried out in ANSYS software to validate analytical results. The comparison of numerical and analytical results are in good agreement to an accuracy of 3%. Further, the displacement and stress values calculated by varying inhomogeneity constant (β) and the results were plotted in graphs. Finally, the inhomogeneity constant (β) showed a significant effect on circumferential stress.
Elasticity Solutions of Functionally Graded Pressure Vessels: An Analytical and Numerical Study
J. Inst. Eng. India Ser. C
Bogu, V. Phanindra (Autor:in) / Yennam, Ravi Kumar (Autor:in) / Golewar, Sachin (Autor:in) / Lanka, Krishnanand (Autor:in)
01.02.2021
11 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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