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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Procedia Structural Integrity 41 (2022) 125–133

2nd Mediterranean Conference on Fracture and Structural Integrity Effects of static indeterminacy on the lengthwise fracture in non linear viscoelastic inhomogeneous beams loaded in torsion

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 Lengthwise fracture of statically undetermined beam structure that has non-linear viscoelastic behaviour is analyzed in this paper. The beam is loaded in pure torsion. The cross-section of the beam is a circle. The beam exhibits continuous material inhomogeneity along the radius of its cross-section. The mechanical behaviour of the beam is treated by a viscoelastic model structured by non-linear springs and non-linear dashpots. The static indeterminacy is resolved first and then the problem of the time-dependent strain energy release rate is solved by considering the complementary strain energy. The energy balance is analyzed for verification of the solution of the strain energy release rate. A parametric investigation of the strain energy release rate is carried-out. © 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: Inhomogeneous beam; Lengthwise fracture; Non-linear viscoelastic model; Torsion; Static indeterminacy 1. Introduction Modern engineering uses a variety of structural materials. Among them, the continuously inhomogeneous materials play a very important role. One of the typical features of the continuously inhomogeneous materials is the fact that their properties vary continuously in solid. As a result of this, the material properties are smooth functions of one or more coordinates which makes the analysis of continuously inhomogeneous structural members more n

* 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.2022.05.015