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Stress field analysis of functionally graded polar orthotropic disk on a rigid inclusion subjected to variable angular velocity

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Abstract

This paper analytically examines the stresses occurring on a functionally graded polar orthotropic variable thickness disk within the elastic region. The disk geometry is assembled on a solid rigid inclusion which is rotating with time dependent periodic angular velocity. Two different material grading parameters, which belong to Young’s modulus and density, one orthotropy parameter which comes from the ratio of tangential and radial Young’s modulus variations, and one geometric parameter due to the variable thickness profile of the disk have been taken into account. Based on these parameters, changes occurring in the directional stress and radial displacement fields have been comprehensively analyzed. Additionally, the effect of different angular velocity function implementations on the stresses and displacement and future design possibilities have been discussed shortly.

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Correspondence to Ömer Can Farukoğlu.

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Ali Motameni received his B.S., and M.Sc. from the Department of Metallurgical and Materials Engineering, Middle East Technical University. He received his Ph.D. in the Engineering Sciences Department of the same university. He is the general manager of Raymak Test Equipments Co and lecturer at Çankaya University. His research interests are solid mechanics, mechanical tests, fatigue, and failure.

Ömer Can Farukoğlu is a Ph.D. candidate in Manufacturing Engineering, Gazi University, and lecturer in Mechanical Engineering at Çankaya University. He received his M.Sc. in Engineering Sciences from Middle East Technical University and his B.S. in Mechanical Engineering from TOBB University of Economics and Technology. His research interests include solid mechanics, composite materials, and failure analysis.

İhsan Korkut received his B.S., M.Sc., and Ph.D. from Gazi University. He is the current Head of the Department of Manufacturing Engineering at Gazi University, Ankara, Turkey. His research interests are construction and manufacturing methods, non-traditional manufacturing methods, and machine design.

Rıza Gürbüz received his B.S., M.Sc., and Ph.D. from Middle East Technical University. He is currently Vice Chair of the Department of Metallurgical and Materials Engineering, Middle East Technical University. His research area includes fatigue of metals, failure analysis, and mechanical testing.

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Motameni, A., Farukoğlu, Ö.C., Korkut, İ. et al. Stress field analysis of functionally graded polar orthotropic disk on a rigid inclusion subjected to variable angular velocity. J Mech Sci Technol 38, 323–332 (2024). https://doi.org/10.1007/s12206-023-1226-7

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  • DOI: https://doi.org/10.1007/s12206-023-1226-7

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