PSI - Issue 26

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

www.elsevier.com/locate/procedia

ScienceDirect

Procedia Structural Integrity 26 (2020) 63–74

© 2020 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/) Peer-review under responsibility of MedFract1 organizers This paper deals with longitudinal fracture analysis of inhomogeneous non-linear elastic beams with continuously varying radius of the cross-section along the beam length. The external loading consists of axial forces. Beams with a longitudinal crack presenting a circular cylindrical surface are considered. The beams exhibit continuous material inhomogeneity in radial direction. A general approach for analyzing the strain energy release rate is developed by considering the energy balance. The approach is used to analyze the longitudinal fracture of an inhomogeneous non-linear elastic cantilever beam configuration. The strain energy release rate in the cantilever beam is derived also by considering the complementary strain energy for verification. The influence of the continuously varying radius of the cross-section along the length of the cantilever beam on the strain energy release rate is evaluated. The effects of the material inhomogeneity, location of the crack in radial direction, crack length and the material non linearity on the strain energy release rate are also evaluated. © 2020 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/) Peer-review under responsibility of MedFract1 organizers Keywords: Axial loading; Longitudinal fracture; Material non-linearity; Inhomogeneous beam Τ he 1 st Mediterranean Conference on Fracture and Structural Integrity, MedFract1 Inhomogeneous beams of circular cross-section under axial forces: a longitudinal fracture analysis Victor Rizov * Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, 1 Chr. Smirnensky blvd., 1046 – Sofia, Bulgaria Abstract

1. Introduction

The advance in various areas of modern engineering requires an extensive use of inhomogeneous materials in load-bearing structural members and components. The properties of structures made of continuously inhomogeneous materials vary continuously in the solid. Thus, the material properties are continuous functions of coordinates. The

* 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 (http://creativecommons.org/licenses/by-nc-nd/4.0/) Peer-review under responsibility of MedFract1 organizers

2452-3216 © 2020 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/) Peer-review under responsibility of MedFract1 organizers 10.1016/j.prostr.2020.06.009