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) 97–105

© 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 Lengthwise fracture analysis of a continuously inhomogeneous beam is performed by using linear-elastic fracture mechanics. The beam under consideration is subjected to four-point bending. The material is continuously inhomogeneous in both height and length directions of the beam. The upper surface of the beam is in contact with aggressive environment. As a result of this, a damage zone appears in the beam. The depth of the damage zone increases with the time. Fracture is analyzed in terms of the strain energy release rate. The compliance method is applied to derive a solution to the strain energy release rate with taking into account the effect of the damage zone. The solution derived is time-dependent since the damage zone depth is a function of the time. The J integral approach is applied to verify the solution to the strain energy release rate. The analytical solution obtained is used to evaluate the influence of the damage zone on the strain energy release rate in the inhomogeneous beam configuration. © 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: Fracture; Aggressive environment; Continuously inhomogeneous beam This is an open access article under t Τ he 1 st Mediterranean Conference on Fracture and Structural Integrity, MedFract1 Lengthwise fracture analysis of an inhomogeneous beam in aggressive environment Victor Rizov* Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, 1 Chr. Smirnensky blvd., 1046 – Sofia, Bulgaria Abstract

1. Introduction

Recently, the continuously inhomogeneous materials have been widely used as advanced structural materials for aerospace, electronics, optics, nuclear energy, engineering, etc. (EL-Wazery and EL-Desouky (2015), Gasik (2010), Hirai and Chen (1999), Kawasaki and Watanabe (1997), Kou et al. (2012), Saiyathibrahim et al. (2016), Shiota and

* 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.2020.06.012