PSI - Issue 41

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2022) 000 – 000

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ScienceDirect

Procedia Structural Integrity 41 (2022) 134–144

2nd Mediterranean Conference on Fracture and Structural Integrity Analysis of longitudinal fracture in a non-linear viscoelastic beam under strains changing smoothly with time

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

© 2022 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 MedFract2Guest Editors. Abstract An analysis of longitudinal fracture in a beam structure that exhibits non-linear viscoelastic behaviour is carried-out. The angle of rotation of the free end of the upper crack arm changes smoothly with time. The beam is continuously inhomogeneous along its thickness. The mechanical behaviour of the beam is described by a viscoelastic model consisting of both linear and non-linear springs and dashpots subjected to strains which change continuously with time. The strain energy release rate is derived by analyzing the balance of the energy. The solution of the strain energy release rate accounts for both non-linear viscoelastic behaviour and smooth change of the angle of rotation of the upper crack arm. Verification of the strain energy release rate is carried-out by using the J -integral approach. A parametric study is performed. © 2022 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 MedFract2Guest Editors. Keywords: Beam structure; Continuous material inhomogeneity; Longitudinal crack; Non-linear viscoelastic behaviour; Smoothly varying strains with time 1. Introduction One of the important aims of structural design is to assure economical effectiveness of various engineering structures, machines and vehicles, and at the same time to guarantee that any engineering item is both safe and durable. Achieving of these aims requires adopting of up-to-date highly efficient structural materials such as ntegral 022 The A This is an open access a -ND li

* 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 © 2022 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 MedFract2Guest Editors.

2452-3216 © 2022 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 MedFract2Guest Editors. 10.1016/j.prostr.2022.05.016