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Article

Factors of Stress Concentration around Spherical Cavity Embedded in Cylinder Subjected to Internal Pressure

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Mechanical Engineering Faculty, University of Sciences and Technology, Mohamed Boudiaf (USTOMB), BP 1505, El M’naouer, Oran 31000, Algeria
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Composite Structures and Innovative Materials Laboratory (LSCMI), University of Sciences and Technology, Mohamed Boudiaf (USTOMB), BP 1505, El M’naouer, Oran 31000, Algeria
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Aeronautics and Propulsive Systems Laboratory (LASP), University of Sciences and Technology, Mohamed Boudiaf (USTOMB), BP 1505, El M’naouer, Oran 31000, Algeria
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Gas Engineering Group, Warsaw University of Technology, 20 Nowowiejska St., 00-653 Warsaw, Poland
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Author to whom correspondence should be addressed.
Academic Editors: Andrey Belyakov and Anna Bodyakova
Materials 2021, 14(11), 3057; https://doi.org/10.3390/ma14113057
Received: 25 April 2021 / Revised: 19 May 2021 / Accepted: 26 May 2021 / Published: 3 June 2021
In this paper, an accurate distribution of stress as well as corresponding factors of stress concentration determination around a spherical cavity, which is considered as embedded in a cylinder exposed to the internal pressure only, is presented. This approach was applied at three main meridians of the porosity by combining the Eshelby’s equivalent inclusion method with Mura and Chang’s methodology employing the jump condition across the interface of the cavity and matrix, respectively. The distribution of stresses around the spherical flaw and their concentration factors were formulated in the form of newly formulated analytical relations involving the geometric ratio of the cylinder, such as external radius and thickness, the angle around the cavity, depth of the porosity, as well as the material Poisson ratio. Subsequently, a comparison of the analytical results and the numerical simulation results is applied to validate obtained results. The results show that the stress concentration factors (SCFs) are not constant for an incorporated flaw and vary with both the porosity depth and the Poisson ratio, regardless of whether the cylinder geometric ratio is thin or thick. View Full-Text
Keywords: pressurized cylinder; spherical cavity; liner-elastic stress analysis; stress concentration factors; analytical solution; numerical simulation results pressurized cylinder; spherical cavity; liner-elastic stress analysis; stress concentration factors; analytical solution; numerical simulation results
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MDPI and ACS Style

Abdelghani, M.; Tewfik, G.; Witek, M.; Djahida, D. Factors of Stress Concentration around Spherical Cavity Embedded in Cylinder Subjected to Internal Pressure. Materials 2021, 14, 3057. https://doi.org/10.3390/ma14113057

AMA Style

Abdelghani M, Tewfik G, Witek M, Djahida D. Factors of Stress Concentration around Spherical Cavity Embedded in Cylinder Subjected to Internal Pressure. Materials. 2021; 14(11):3057. https://doi.org/10.3390/ma14113057

Chicago/Turabian Style

Abdelghani, Mechri, Ghomari Tewfik, Maciej Witek, and Djouadi Djahida. 2021. "Factors of Stress Concentration around Spherical Cavity Embedded in Cylinder Subjected to Internal Pressure" Materials 14, no. 11: 3057. https://doi.org/10.3390/ma14113057

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