Residual Stress in Ceramic–Metal Tubes: Elastic– Ideally Plastic Model Analysis

Residual Stress in Ceramic–Metal Tubes: Elastic– Ideally Plastic Model Analysis

© 2022 by IJETT Journal
Volume-70 Issue-9
Year of Publication : 2022
Authors : Meriem Belhaou, Nor eddine Laghzale, Hakim Bouzid
DOI : 10.14445/22315381/IJETT-V70I9P241

How to Cite?

Meriem Belhaou, Nor eddine Laghzale, Hakim Bouzid, "Residual Stress in Ceramic–Metal Tubes: Elastic– Ideally Plastic Model Analysis" International Journal of Engineering Trends and Technology, vol. 70, no. 9, pp. 400-410, 2022. Crossref,

An elastic-plastic analytical solution is developed using a prestressing method for a hollow cylinder made of a ceramic–metal functionally gradient material (FGM) under internal and external pressures to design a cylinder that resists plastic internal pressure efficiently uses the material at the outer part of the cylinder. Based on the experimental results for a ceramic–metal (Al A359/SiCp) cylinder produced with an FGM, different components of the radial, hoop, and axial stresses were analysed to investigate the effects of pressure, cylinder wall thickness, and material distribution. It is assumed that mechanical properties, such as Young’s modulus and density, are governed by a power function along the wall thickness, owing to the functional gradation of the material. An elastic–perfectly plastic model and the von Mises criterion are used to obtain theoretical solutions for the stress distribution in the radial direction in the elastic and elastic–plastic areas and to determine different combinations of pressure. A finite element model was established to validate the analytical results by applying hypothetical thermal loads using Ansys Workbench. Thus, with an increasing ceramic volume fraction from the inner to outer radius, the reinforcement of the metal vessel by ceramic particles decreased the magnitude of the compressive hoop stresses at the inner section. It can improve the fatigue resistance and load-bearing capacity of the cylinder

Metal–ceramic, Functionally graded materials, Elastic–perfectly plastic, Pressurized hollow cylinders.

[1] Mahamood R. M, & Akinlabi E. T, “Introduction to Functionally Graded Materials,” pp. 1–8, 2017.
[2] Boggarapu V, Gujjala R, Ojha S, Acharya S, Venkateswara Babu P, Chowdary S, & kumar Gara D, “State of the Art in Functionally Graded Materials,” Composite Structures, vol. 262, pp. 113596, 2021.
[3] Pasha A, & B.M R, “Functionally Graded Materials (FGM) Fabrication and its Potential Challenges & Applications,” Materials Today: Proceedings, vol. 52, pp. 413–418, 2022.
[4] Ibnorachid Z, Boutahar L, & Bikri K., el., “A Refined Theory for Bending Vibratory Analysis of Thick Functionally Graded-Beams,” International Journal of Engineering Trends and Technology, vol. 69, no. 4, pp. 57–66, 2021.
[5] Saleh B, Jiang J, Fathi R, Al-hababi T, Xu Q, Wang L, Song D, & Ma A, “30 Years of Functionally Graded Materials: An Overview of Manufacturing Methods, Applications and Future Challenges,” Composites Part B: Engineering, vol. 201, pp. 108376, 2020.
[6] Bertolino N, Monagheddu M, Tacca A, Giuliani P, and Zanotti C, “Functionally Graded Materials as Thermal Protection Systems”, Hot Structures and Thermal Protection Systems for Space Vehicles, Proceedings of the 4th European Workshop 2002 in Palermo, Italy. Edited by A. Wilson, ESA SP-521, Paris: European Space Agency, pp.155, 2003.
[7] Zhang X, Chen Y, & Hu J, “Recent Advances in the Development of Aerospace Materials,” Progress in Aerospace Sciences, vol. 97, pp. 22–34, 2018.
[8] Hassanzadeh R, & Bilgili M, “Assessment of Thermal Performance of Functionally Graded Materials in Longitudinal Fins,” Journal of Engineering Physics and Thermophysics, vol. 91, no. 1, pp. 79–88, 2018.
[9] Yan Z, Huang Q, Guo Z, Song Y, Li C, Liu S, Han Q, & Deng C, “Vacuum Plasma Sprayed Feal/Al2O3 Functionally Graded Coatings for Fusion Reactor Applications,” Fusion Engineering and Design, vol. 85, no. 7–9, pp. 1542–1545, 2010.
[10] Heuer S, Matějíček J, Vilémová M, Koller M, Illkova K, Veverka J, Weber Th, Pintsuk G, Coenen J. W, & Linsmeier Ch, “Atmospheric Plasma Spraying of Functionally Graded Steel/Tungsten Layers for the First Wall of Future Fusion Reactors,” Surface and Coatings Technology, vol. 366, pp. 170–178, 2019.
[11] Chmielewski M, & Pietrzak K, “Metal-Ceramic Functionally Graded Materials – Manufacturing, Characterization, Application,” Bulletin of the Polish Academy of Sciences Technical Sciences, vol. 64, no. 1, pp. 151–160, 2016.
[12] Andrew J.Ruys and Brett A.Sutton, “Metal-Ceramic Functionally Graded Materials (FGMs)”, Metal-Reinforced Ceramics, pp. 327-359, 2021.
[13] Tutuncu N, & Ozturk M, “Exact Solutions for Stresses in Functionally Graded Pressure Vessels,” Composites Part B: Engineering, vol. 32, no. 8, pp. 683–686, 2001.
[14] Sburlati R, “Analytical Elastic Solutions for Pressurized Hollow Cylinders with Internal Functionally Graded Coatings,” Composite Structures, vol. 94, no. 12, pp. 3592–3600, 2012.
[15] Benslimane A, Benchallal R, Mammeri S, Methia M, & Khadimallah M. A, “Investigation of Displacements and Stresses in Thick-Walled FGM Cylinder Subjected to Thermo-Mechanical Loadings,” International Journal for Computational Methods in Engineering Science and Mechanics, vol. 22, no. 2, pp. 138–149, 2021.
[16] Chen Y. Z, & Lin X. Y, “Elastic Analysis for Thick Cylinders and Spherical Pressure Vessels Made of Functionally Graded Materials,” Computational Materials Science, vol. 44, no. 2, pp. 581–587, 2008.
[17] Shi Z, Zhang T, & Xiang H, “Exact Solutions of Heterogeneous Elastic Hollow Cylinders,” Composite Structures, vol. 79, no. 1, pp. 140– 147, 2007.
[18] Benslimane A, Bouzidi S, & Methia M, “Displacements and Stresses in Pressurized Thick-Walled FGM Cylinders: Exact and Numerical Solutions,” International Journal of Pressure Vessels and Piping, vol. 168, pp. 219–224, 2018.
[19] Mognhod Bezzie Y, & Engida Woldemichael D, “Effects of Graded-Index and Poisson’s Ratio on Elastic-Solutions of a Pressurized Functionally Graded Material Thick-Walled Cylinder,” Forces in Mechanics, vol. 4, pp. 100032, 2021.
[20] Eraslan NA, Akis T, “Elastoplastic Response of a Long Functionally Graded Tube Subjected to Internal Pressure,” Turkish Journal of Engineering Environmental Sciences,vol. 29, pp. 361-368, 2005.
[21] Xin L, Dui G, Yang S, & Liu Y, “Elastic-Plastic Analysis for Functionally Graded Thick-Walled Tube Subjected to Internal Pressure,” Advances in Applied Mathematics and Mechanics, vol. 8, no. 2, pp. 331–352, 2016.
[22] Nayak P, Bhowmick S, & Saha K. N, “Elasto-Plastic Analysis of Thermo-Mechanically Loaded Functionally Graded Disks by an Iterative Variational Method,” Engineering Science and Technology, An International Journal, vol. 23, no. 1, pp. 42–64, 2020.
[23] Heydari, A, “Elasto-Plastic Analysis of Cylindrical Vessel with Arbitrary Material Gradation Subjected to Thermo-Mechanical Loading Via DTM,” Arabian Journal for Science and Engineering, vol. 44, no. 10, pp. 8875–8891, 2019.
[24] Saeedi S, Kholdi M, Loghman A, Ashrafi H, & Arefi M, “Thermo-Elasto-Plastic Analysis of Thick-Walled Cylinder Made of Functionally Graded Materials using Successive Approximation Method,” International Journal of Pressure Vessels and Piping, vol. 194, pp. 104481, 2021.
[25] Benchallal R, Benslimane A, Bidgoli O, & Hammiche D, “Analytical Solution for Rotating Cylindrical FGM Vessel Subjected to Thermomechanical Loadings,” Materials Today: Proceedings, vol. 53, pp. 24–30, 2022.
[26] Deepak Ranjan Biswal, Alok Ranjan Biswal, Rashmi Ranjan Senapati, "Finite Element Based Vibration Analysis of an Axially Functionally Graded Nonprismatic Beam," SSRG International Journal of Mechanical Engineering, vol. 5, no. 1, pp. 8-13, 2018. Crossref,
[27] Sim L. C, Yeo W. H, Purbolaksono J, Saw L. H, & Tey J. Y, “Analytical Solution of Thermo-Mechanical Stresses of Multilayered Hollow Spherical Pressure Vessel,” International Journal of Pressure Vessels and Piping, vol. 191, pp. 104355, 2021.
[28] Cui Y, Zhang L, Zhang C, Li R, & Li F, “Stress Analysis of Shrink Fitting Process of Ultra-Thin Reactor Coolant Pump Rotor-Can,” Annals of Nuclear Energy, vol. 162, pp. 108492, 2021.
[29] Zheng M, Ma H, Lyu Y, Lu C, & He C, “Derivation of Circumferential Guided Waves Equations for a Multilayered Laminate Composite Hollow Cylinder by State-Vector and Legendre Polynomial Hybrid Formalism,” Composite Structures, vol. 255, pp. 112950, 2021.
[30] A M, S J. J, & P B. A, “Fatigue Analysis of Thermal Shrink-Fit Autofrettage in Pressure Cylinder using Finite Element Analysis,” Journal of Materials Research and Technology, vol. 9, no. 4, pp. 8606–8617, 2020.
[31] Mohan A, Julyes Jaisingh S, & Goldin Priscilla C. P, “Effect of Autofrettage on the Ultimate Behavior of Thick Cylindrical Pressure Vessels,” International Journal of Pressure Vessels and Piping, vol. 194, pp. 104546, 2021.
[32] Molaie M, Darijani H, Bahreman M, & Hosseini S. M, “Autofrettage of Nonlinear Strain-Hardening Cylinders using the Proposed Analytical Solution for Stresses,” International Journal of Mechanical Sciences, vol. 141, pp. 450–460, 2018.
[33] R. Rodríguez-Castro, R. C. Wetherhold, and M. H. Kelestemur, “Microstructure and Mechanical Behavior of Functionally Graded Al A359/SiCp Composite”, Material Science and Engineering: A, vol. 323, pp. 445–456, 2002.
[34] Vullo V, “Thin-Walled Circular Cylinders Under Internal and/or External Pressure and Stressed in the Linear Elastic Range,” Circular Cylinders and Pressure Vessels, pp. 1-22, 2013.
[35] N. Laghzale, A. Bouzid, “Analytical Modelling of Elastic-Plastic Interference Fit Joints,” International Review on Modelling and Simulations (I.RE.MO.S.), vol. 9, no. 3, 2016.
[36] A.T Kalali S, Hadidi-Moud, “A Semi-Analytical Approach to Elastic-Plastic Stress Analysis of FGM Pressure Vessels,” Journal of Solid Mechanics, vol. 5, no. 1, pp. 63-73, 2013.
[37] Bist H, & Bhatt H, “Modeling and Analysis of Crankshaft (Using ANSYS),” International Journal of Recent Engineering Science, vol. 8, no. 2, pp. 1–9, 2021.
[38] Parvizi A, Naghdabadi R, & Arghavani J, “Analysis of Al A359/SiCp Functionally Graded Cylinder Subjected to Internal Pressure and Temperature Gradient with Elastic-Plastic Deformation,” Journal of Thermal Stresses, vol. 34, no. 10, pp. 1054–1070, 2011.