PSI - Issue 82

Victor Rizov et al. / Procedia Structural Integrity 82 (2026) 246–252 V. Rizov/ Structural Integrity Procedia 00 (2026) 000–000

252

7

! ! " " ! # #

dependency of the coefficient of viscosity and the material gradient are controlled by , and ratios, respectively. Therefore, the dissipated energy in the beam is studied as a function of , ! ! " " ! # # ! !

! ! " " ! # #

! !

and

! ! " " ! # #

! !

ratios. The influence of the velocity,

, of the angle of twist of the free end of the beam on the

! !

dissipated energy is studied too. The study reveals that increase of the beam structure. The dissipated energy increases also when

induces increase of the dissipated energy in

! ! " " ! # #

! ! " " ! # #

and

ratios increase. Concerning

! !

! !

the influence of . It can be generalized that the time-dependency of the coefficient of viscosity has to be taken into account when analyzing the dissipated energy in viscoelastic beam structures since neglecting of this dependency leads to underestimation of the dissipated energy. References Araki, N., Makino, A., Ishiguro, T., Mihara, J . , 1992. An analytical solution of temperature response in multilayered materials for transient methods. Int J Thermophys 13 , 515–538. 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, 658-667. Fanani, E.W.A., Surojo, E., Prabowo, A. R., Akbar, H. I., 2021. Recent Progress in Hybrid Aluminum Composite: Manufacturing and Application. Metals 11, 1919-1929. Gandra, J., Miranda, R., Vilaça, P., Velhinho, A., Teixeira, J.P., 2011. Functionally graded materials produced by friction stir processing. Journal of Materials Processing Technology 211, 1659-1668. Gururaja Udupa, Shrikantha Rao, S., Rao Gangadharan, K., 2014. Functionally Graded Composite Materials: An Overview. Procedia Materals Science 5, 1291-1299. Kaul, A. B., 2014. Two-dimensional layered materials: Structure, properties, and prospects for device applications. J. Mater. Res. 29, 348-361. Lloyd, S.J., Molina-Aldareguia, J. M., 2003. Multilayered materials: a palette for the materials artist. Phil. Trans. R. Soc. Lond. A 361 , 2931 294. Mahamood, R. C., Akinlabi, E. T., 2017. Functionally Graded Materials. Springer. Nagaral, M., Nayak, P. H., Srinivas, H. K., Auradi V., 2019. Characterization and Tensile Fractography of Nano ZrO2 Reinforced Copper-Zinc Alloy Composites. Frattura ed Integrità Strutturale 13, 370-376. Narisawa, I., 1987. Strength of Polymer Materials. Chemistry. Radhika, N., Sasikumar, J., Sylesh, J. L., Kishore, R., 2020. Dry reciprocating wear and frictional behaviour of B4C reinforced functionally graded and homogenous aluminium matrix composites. Journal of Materials Research and Technology 9, 1578-1592. Rizov, V. I., 2018. Non-linear delamination in two-dimensional functionally graded multilayered beam. International Journal of Structural Integrity 9, 646-663. Rizov, V. I., 2020. Longitudinal vertical crack analysis in beam with relaxation stresses. World Journal of Engineering 18, 452-457. Rizov, V. I., 2021. Energy Dissipation in Viscoelastic Multilayered Inhomogeneous Beam Structures: An Analytical Study. Materials Science Forum 1046, 39-44. Toudehdehghan, J., Lim, W., Foo1, K. E., Ma’arof, M. I. N., Mathews, J., 2017. A brief review of functionally graded materials. MATEC Web of Conferences 131, 03010. , the analysis indicates increase of the dissipated energy with increase of