PSI - Issue 28

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2019) 000–000 il l li i i

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www.elsevier.com/locate/procedia

ScienceDirect

Procedia Structural Integrity 28 (2020) 1226–1236

© 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 Abstract The present paper deals with longitudinal fracture analysis of an inhomogeneous non-linear elastic rod with an internal longitudinal circular cylindrical crack. The rod is loaded in torsion. The cross-section of the rod is a circle. The rod exhibits continuous material inhomogeneity in radial direction. The complementary strain energy is considered in order to derive the strain energy release rate. Since the crack is internal, the torsion moments in the crack arms which are needed to obtain the complementary strain energy can not be determined explicitly. Therefore, the rod is treated as a statically undermined structure with one internal redundant (the torsion moment in the external crack arm is taken as a redundant). The solution to the strain energy release rate, derived in the present paper, is verified by considering the balance of the energy. The longitudinal fracture behavior of the rod with internal crack is compared with that of a rod with circular notch in the external crack arm. It is found that the strain energy release rate in the rod without notch is lower than that in the rod with notch in the external crack arm. © 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 1. Introduction The advance in various branches of modern engineering requires an extensive use of different high performance materials in load-bearing structural members and components. A very promising kind of high performance materials are the inhomogeneous structural materials whose properties are distributed continuously (smoothly) in the solid. The concept of inhomogeneous materials is very suitable for developing of structures with optimized inherent properties. 0 u h . ub i h L EV This is an open access article under the CC BY-NC-ND license (http o 1st Virtual European Conference on Fracture Longitudinal fracture analysis of inhomogeneous non-linear elastic rod with internal crack in torsion Victor Rizov* Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, 1 Chr. Smirnensky blvd., 1046 – Sofia, Bulgaria , , , . ., ,

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

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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 . .

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 10.1016/j.prostr.2020.11.104