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Year 2023, Volume: 26, 142 - 148, 30.12.2023

Victor Rızov

https://doi.org/10.55549/epstem.1409415

Abstract

References

  • Dolgov, N. (2005). Determination of stresses in a two-layer coating. Strength of Materials, 37(4), 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.
  • Finot, M., & Suresh, S. (1996). Small and large deformation of thick and thin-film multilayers: effect of layer geometry and compositonal gradients. Journal of Mech. Phys. Solids, 44(5), 683-721.

Multilayered Inhomogeneous Beams under Torsion and Bending: An Analytical Study of Energy Dissipation

Year 2023, Volume: 26, 142 - 148, 30.12.2023

Victor Rızov

https://doi.org/10.55549/epstem.1409415

Abstract

The present theoretical paper is devoted to the problem of energy dissipation in multilayered inhomogeneous beam structures of visoelastic behaviour. In particular, our attention is concentrated on studying the energy dissipation for the case of a beam that is loaded simultaneously in torsion and bending. Both torsion and bending moments which are applied on the beam change with time so that the angles of twist and rotation of the beam end vary continuously with time. The viscoelastic mechanical behaviour of the beam under torsion is treated by a viscoelastic model that has two linear springs and a linear dashpot. The model is under time-dependent shear stress. The viscoelastic behaviour of the beam under bending is modelled in a similar way. An analytical approach of deriving the energy dissipation is applied. The approach treats a multilayered beam that has an arbitrary number of layers of different thicknesses and material properties. The layers are longitudinally inhomogeneous. An investigation of the energy dissipation is carried-out to clarify the effect of the parameters of the time-dependent bending and torsion moments, the material inhomogeneity and the beam size on the energy dissipation.

Keywords

Energy dissipation Beam structure Multilayered material Viscoelastic behaviour Torsion

References

  • Dolgov, N. (2005). Determination of stresses in a two-layer coating. Strength of Materials, 37(4), 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.
  • Finot, M., & Suresh, S. (1996). Small and large deformation of thick and thin-film multilayers: effect of layer geometry and compositonal gradients. Journal of Mech. Phys. Solids, 44(5), 683-721.
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Details

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

Victor Rızov

Early Pub Date December 25, 2023
Publication Date December 30, 2023
Published in Issue Year 2023 Volume: 26

Cite

APA Rızov, V. (2023). Multilayered Inhomogeneous Beams under Torsion and Bending: An Analytical Study of Energy Dissipation. The Eurasia Proceedings of Science Technology Engineering and Mathematics, 26, 142-148. https://doi.org/10.55549/epstem.1409415
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