PSI - Issue 33

ScienceDirect

Structural Integrity Procedia 00 (2019) 000–000

www.elsevier.com/locate/procedia

Available online at www.sciencedirect.com

ScienceDirect

Procedia Structural Integrity 33 (2021) 402–415

IGF26 - 26th International Conference on Fracture and Structural Integrity Analysis of delaminated multilayered functionally graded viscoelastic beam

Victor Rizov* Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, 1 Chr. Smirnensky blvd., 1046 – Sofia, Bulgaria

© 2021 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 scientific committee of the IGF ExCo Abstract The present paper is concerned with analysis of a delaminated multilayered functionally graded cantilever beam with linear viscoelastic behaviour of the material. The beam under consideration is made of adhesively bonded longitudinal vertical layers which have different widths and material properties. Besides, each layer is functionally graded along its width. The delamination crack is located arbitrary between layers. A model consisting of two linear springs and a linear dashpot is used for treating the viscoelastic behaviour. The modulii of elasticity of the springs and the coefficient of viscosity of the dashpot are distributed continuously along the width of each layer. A time-dependent solution to the strain energy release rate is derived with considering the viscoelastic behaviour. The solution is verified by applying the compliance method. The solution derived is used to study the viscoelastic behaviour induced variation of the strain energy release rate with the time. It is found that the strain energy release rate increases with the time. Effects of the delamination crack location along the beam width and the material inhomgeneity on the time-dependent strain energy release rate are also studied. The influence of the ratios of the modulii of elasticity and the coefficients of viscosity in the layers on the time-dependent strain energy release rate is evaluated too. © 2020 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 European Structural Integrity Society (ESIS) ExCo Keywords: Inhomogeneous rod; Longitudinal fracture; Material non-linearity; Torsion oelastic behaviour. The modulii of elasticity of the springs and the coefficient of viscosity of the dashpot are distributed This is an open access article under

* 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 © 2020 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 European Structural Integrity Society (ESIS) ExCo er-review u

2452-3216 © 2021 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 scientific committee of the IGF ExCo 10.1016/j.prostr.2021.10.048