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) 75–85

1 st

© 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 The present paper is focused on fracture analysis of an inhomogeneous beam with an internal longitudinal crack. The beam exhibits continuous material inhomogeneity along the height of the cross-section. The material of the beam has non-linear elastic behavior. The beam is clamped in its right-hand end. One axial force and one bending moment are applied at the left-hand end of the beam. The longitudinal crack is located arbitrary along the height of the beam. Since the crack is internal, the bending moments and the axial forces in the two crack arms can not be determined directly. The beam is treated as a static undetermined structure with two internal redundants in order to derive the bending moments and axial forces in the crack arms. The longitudinal fracture behavior is studied in terms of the strain energy release rate. The J -integral approach is used for verification of the solution to the strain energy release rate. The fracture is analyzed also for the case when the crack reaches the left-hand end of the beam. © 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: Inhomogeneous beam; Internal longitudinal crack; Non-linear elastic behavior This is r icle under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc- Τ he 1 st Mediterranean Conference on Fracture and Structural Integrity, MedFract1 Fracture analysis of inhomogeneous beam with internal longitudinal crack Victor Rizov* Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, 1 Chr. Smirnensky blvd., 1046 – Sofia, Bulgaria Abstract

1. Introduction

Inhomogeneous structural materials whose properties vary continuously (smoothly) in the solid have been used more and more frequently in various engineering applications in recent decades. Inhomogeneous materials now occupy important positions in aerospace industry, automotive industry and civil infrastructures. The benefits of using of inhomogeneous materials in practical engineering include lower weight, improved performance and increased

* 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.2020.06.010