Radial Displacements in a Rotating Disc of Uniform Thickness Made of Functionally Graded Material

Authors

  • Vasile Nastasescu Military Technical Academy "Ferdinand I", Romania
  • Antonela Toma National University of Science and Technology, Politehnica Bucharest, Romania
Volume: 14 | Issue: 1 | Pages: 12993-12999 | February 2024 | https://doi.org/10.48084/etasr.6713

Abstract

The finite element method is used to calculate a rotating disc, which has a uniform thickness and is made of functionally graded materials, based on the concepts of multilayer disc and equivalent material. These concepts are also available for analytical calculus. The multilayered disc concept perceives the disc as constructed from several layers, and the equivalent material concept regards the disc material as composed of homogeneous and isotropic material but with fictitious properties equivalent in behavior to the functionally graded material. These two concepts, encompassed in this study, allow us to contemplate the variation according to the material law and Poisson's ratio, which is often neglected, to reduce the mathematical complexity. The concepts, models, and methods involved in this study were validated by employing numerical and analytical calculations. The proposed method introduced simplicity, precision, and accessibility to solve the complex problem of functionally graded structures. The calculus development, model validation, and result analysis were based on numerical calculus using the finite element method. The utilized models were grounded on the existence of an axial-symmetric plane. So, 2D or 3D simplified models can be used with several variants regarding the mesh fineness. This study results and models are useful to specialists and structure designers of this type, have a high degree of generality, and present opportunities for the application of other calculation methods.

Keywords:

functionally graded material, equivalent material model, multi-layer wall, rotating disc, FEM

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References

F. Tarlochan, "Functionally Graded Material: A New Breed of Engineered Material," Journal of Applied Mechanical Engineering, vol. 2, no. 2, 2013.

I. M. El-Galy, B. I. Saleh, and M. H. Ahmed, "Functionally graded materials classifications and development trends from industrial point of view," SN Applied Sciences, vol. 1, no. 11, Oct. 2019, Art. no. 1378.

A. Toudehdehghan, J. W. Lim, K. E. Foo, M. I. N. Ma’arof, and J. Mathews, "A brief review of functionally graded materials," MATEC Web Conferences, vol. 131, 2017.

A. Hadj Mostefa, S. Merdaci, and N. Mahmoudi, "An Overview of Functionally Graded Materials «FGM»," in Proceedings of the Third International Symposium on Materials and Sustainable Development, 2018, pp. 267–278.

Y. Z. Chen and X. Y. Lin, "Elastic analysis for thick cylinders and spherical pressure vessels made of functionally graded materials," Computational Materials Science, vol. 44, no. 2, pp. 581–587, Dec. 2008.

Y. Z. Chen and X. Y. Lin, "An alternative numerical solution of thick-walled cylinders and spheres made of functionally graded materials," Computational Materials Science, vol. 48, no. 3, pp. 640–647, May 2010.

M. Akbarzadeh Khorshidi and D. Soltani, "Analysis of functionally graded thick-walled cylinders with high order shear deformation theories under non-uniform pressure," SN Applied Sciences, vol. 2, no. 8, Jul. 2020, Art. no. 1362.

V. Năstăsescu and S. Marzavan, "An Overview of Functionally Graded Material Models," Proceedings of the Romanian Academy, vol. 23, no. 3, pp. 259–267, 2022.

S. Marzavan and V. Nastasescu, "Displacement calculus of the functionally graded plates by finite element method," Alexandria Engineering Journal, vol. 61, no. 12, pp. 12075–12090, Dec. 2022.

S. Marzavan and V. Nastasescu, "Free Vibration Analysis of a Functionally Graded Plate by Finite Element Method," Ain Shams Engineering Journal, vol. 14, no. 8, Aug. 2023, Art. no. 102024.

V. Năstăsescu, "The influence of Poisson’s ratio in the calculus of functionally graded plates," Journal of Engineering Sciences and Innovation, vol. 7, no. 4, pp. 393–402, Dec. 2022.

D. G. Zisopol, M. Minescu, and D. V. Iacob, "A Theoretical-Experimental Study on the Influence of FDM Parameters on the Dimensions of Cylindrical Spur Gears Made of PLA," Engineering, Technology & Applied Science Research, vol. 13, no. 2, pp. 10471–10477, Apr. 2023.

D. G. Zisopol, M. Minescu, and D. V. Iacob, "A Theoretical-Experimental Study on the Influence of FDM Parameters on the Dimensions of Cylindrical Spur Gears Made of PLA," Engineering, Technology & Applied Science Research, vol. 13, no. 2, pp. 10471–10477, Apr. 2023.

D. G. Zisopol, M. Minescu, M. Badicioiu, and M. M. Caltaru, "Theoretical and Experimental Investigations on 20 Inches Threaded Casing Connections Failure under Field Conditions," Engineering, Technology & Applied Science Research, vol. 11, no. 4, pp. 7464–7468, Aug. 2021.

V. Nastasescu, "The Using of the Multilayer Plate Concept in the Calculus of Functionally Graded Plates," Applied Sciences, vol. 12, no. 21, 2022.

A. Toma, F. Dragoi, and O. Postavaru, "Enhancing the Accuracy of Solving Riccati Fractional Differential Equations," Fractal and Fractional, vol. 6, no. 5, May 2022, Art. no. 275.

"Theory Reference for the Mechanical APDL and Mechanical Applications," ANSYS Inc, Canonsburg, PA, USA, Apr. 2009.

S. Timoshenko and J. N. Goodier, Theory of Elasticity. New York, NY, US: McGraw-Hill, 1969.

K.-J. Bathe, Finite Element Procedures. Hoboken, NJ, USA: Prentice Hall, 1996.

K. H. Huebner, E. A. Thornton, and T. G. Byrom, The Finite Element Method for Engineers, 3rd ed. New York, NY, USA: Wiley-Interscience, 1994.

T. J. R. Hughes, The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. Mineola, NY, USA: Dover Publications, 2012.

M. Stan and D. G. Zisopol, "Modeling and Optimization of Piston Pumps for Drilling," Engineering, Technology & Applied Science Research, vol. 13, no. 2, pp. 10505–10510, Apr. 2023.

A. Toma, "Generating Functions for the Mean Value of a Function on a Sphere and Its Associated Ball in," Journal of Inequalities and Applications, vol. 2008, no. 1, 2008, Art. no. 656329.

O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method: Basic Formulation and Linear Problems, Subsequent edition. London, UK: McGraw-Hill College, 1987.

M. Tanase, D. G. Zisopol, and A. I. Portoaca, "A Study regarding the Technical-Economical Optimization of Structural Components for enhancing the Buckling Resistance in Stiffened Cylindrical Shells," Engineering, Technology & Applied Science Research, vol. 13, no. 5, pp. 11511–11516, Oct. 2023.

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How to Cite

[1]
V. Nastasescu and A. Toma, “Radial Displacements in a Rotating Disc of Uniform Thickness Made of Functionally Graded Material”, Eng. Technol. Appl. Sci. Res., vol. 14, no. 1, pp. 12993–12999, Feb. 2024.

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