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Year 2023, Volume: 25, 150 - 156, 01.12.2023
https://doi.org/10.55549/epstem.1404326

Abstract

References

  • Dolgov, N. (2005). Determination of Stresses in a two-layer coating. Strength of Materials, 37, 422-431.
  • Dolgov, N. (2016). Analytical methods to determine the stress state in the substrate–coating system under mechanical loads. Strength of Materials, 48(5), 658-667.
  • Gasik, M. M. (2010). Functionally graded materials: bulk processing techniques. International Journal of Materials and Product Technology, 39(1), 20-29.

Curvature Analysis in a Bi-layered Non-linear Elastic Bar under Uniform Heating

Year 2023, Volume: 25, 150 - 156, 01.12.2023
https://doi.org/10.55549/epstem.1404326

Abstract

The present theoretical paper is concerned with analysis of the curvature in a bi-layered bar of rectangular cross-section. The bar is subjected to uniform heating. The two layers of the bar have different thickness and material properties. Besides, the layers exhibit non-linear elastic mechanical behaviour that is treated by applying a power-law stress-strain constitutive relationship. The bi-layered bar curvature is studied analytically. For this purpose, the mechanical response of the bar to uniform heating is investigated. The strains in the two layers due to heating are analyzed. An equation is compiled by using the fact that the prolongations of the bar layers are equal. Two equations are worked out by considering the equilibrium of the layers. The analysis of the curvature presented in this paper is checked-up by comparing with a known solution for the curvature in a bi-layered linear-elastic bar under uniform heating. The uniform heating induced curvature in a bi-layered bar whose layers are continuously inhomogeneous in longitudinal direction is also studied.

References

  • Dolgov, N. (2005). Determination of Stresses in a two-layer coating. Strength of Materials, 37, 422-431.
  • Dolgov, N. (2016). Analytical methods to determine the stress state in the substrate–coating system under mechanical loads. Strength of Materials, 48(5), 658-667.
  • Gasik, M. M. (2010). Functionally graded materials: bulk processing techniques. International Journal of Materials and Product Technology, 39(1), 20-29.
There are 3 citations in total.

Details

Primary Language English
Subjects Environmental and Sustainable Processes
Journal Section Articles
Authors

Victor Rizov

Early Pub Date December 14, 2023
Publication Date December 1, 2023
Published in Issue Year 2023Volume: 25

Cite

APA Rizov, V. (2023). Curvature Analysis in a Bi-layered Non-linear Elastic Bar under Uniform Heating. The Eurasia Proceedings of Science Technology Engineering and Mathematics, 25, 150-156. https://doi.org/10.55549/epstem.1404326