PSI - Issue 28

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

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ScienceDirect

Procedia Structural Integrity 28 (2020) 1237–1248

© 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 is focused on longitudinal fracture behavior of inhomogeneous round bars loaded in tension. The longitudinal cracks under consideration are cylindrical surfaces (the crack front is a circle). The fracture behavior is analyzed in terms of the strain energy release rate. A general solution procedure for the strain energy release rate is derived by applying the Ramberg Osgood constitutive law for modeling the non-linear mechanical behavior of the inhomogeneous material. Bars whose modulus of elasticity varies continuously in radial direction are considered. The general solution procedure is applicable for cracks located arbitrary in radial direction. The procedure is used to analyze the longitudinal fracture behavior of a cantilever. The fracture in the cantilever is investigated also by considering the energy balance for verification of the solution to the strain energy release rate. Influences of material inhomogeneity, loading conditions and crack location in radial direction on the fracture behavior of the cantilever are investigated and discussed in detail. © 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 round bar; Longitudinal crack; Material non-linearity; Tension 1. Introduction The material properties of smoothly inhomogeneous structural materials vary continuously in the volume of the solid. The fact that the material properties are functions of coordinates indicates that fracture analyses of inhomogeneous materials necessitates development and application of more sophisticated theoretical models and solution procedures. Acquirement of thorough knowledge for the influence of various factors such as material 1st Virtual European Conference on Fracture Longitudinal cracks in non-linear elastic inhomogeneous round bars subjected to tension 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 © 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.2020.11.105