PSI - Issue 58

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2023) 000–000

www.elsevier.com/locate/procedia

ScienceDirect

Procedia Structural Integrity 58 (2024) 137–143

© 2024 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the ICSID 2023 Organizers Abstract This paper deals with the problem of analyzing the energy dissipation in a non-linear viscoelastic beam structural component made of a functionally graded material. The beam is in skew bending. The viscoelastic model used for dealing with the beam mechanical behaviour is set-up by combining of linear as well as non-linear springs and dashpots. The viscoelastic model is under strains which change in time on sinusoidal law. The material properties of the viscoelastic model are distributed smoothly along the thickness of the beam structure. The energy dissipation in the beam is due to dashpots which are parts of the viscoelastic model. Therefore, the strain energy dissipation density is derived by analyzing the stresses and strains in the dashpots. Then the strain energy dissipation density is integrated in the volume of the beam in order to obtain solution of the dissipated energy. The solution is applied for investigating the change of the dissipated energy due to variation of the properties of the model and the loading conditions of the beam. © 2024 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the ICSID 2023 Organizers Keywords: Skew bending; dissipation; viscoelastic beam; inhomogeneity; material non-linearity 1. Introduction In contrast to conventional structural materials like metals and fibre reinforced composites, functionally graded engineering materials are special composites which have a graded microstructure resulting in continuous material inhomogeneity (Chen and Lin (2008), Saidi and Sahla (2019), Saiyathibrahim et al. (2016), Rizov (2020)). Thus, the properties of structural components made of functionally graded materials are smooth functions of one or more 7th International Conference on Structural Integrity and Durability (ICSID 2023) Analysis of energy dissipation in non-linear viscoelastic beam in skew bending Victor Rizov* Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, 1 Chr. Smirnensky blvd., 1046 – Sofia, Bulgaria

* Corresponding author. Tel.: + (359-2) 963 52 45 / 664; fax: + (359-2) 86 56 863 E-mail address: v_rizov_fhe@uacg.bg

2452-3216 © 2024 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the ICSID 2023 Organizers

2452-3216 © 2024 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the ICSID 2023 Organizers 10.1016/j.prostr.2024.05.022