PSI - Issue 47

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2022) 000–000

www.elsevier.com/locate/procedia

ScienceDirect

Procedia Structural Integrity 47 (2023) 3–12

© 2023 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 IGF27 chairpersons Abstract Click here and insert your abstract text. The present paper analyses an inhomogeneous beam structure of circular cross-section with three longitudinal circular cylindrical cracks. The beam is made of a non-linear viscoelastic material. Besides, the beam exhibits continuous material inhomogeneity in radial direction. The external loading consists of axial force and bending moment. Solutions to the strain energy release rate are derived by considering the balance of the energy. The strain energy release rate is determined also by differentiating the complementary strain energy with respect to the areas of cracks for control of the solutions. Effects of material inhomogeneity and locations of the three cracks on the strain energy release rate are evaluated. © 2023 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 IGF27 chairpersons Keywords: Continuously inhomogeneous beam structure; Longitudinal cracks; Non-linear viscoelastic behaviour; Functionally graded material; Axial force; Bending moment 1. Main text Inhomogeneous engineering materials nowadays are a key part of various load-bearing structural applications (Ayd  n et al. (2020), Kou et al. (2012), Marae Djouda et al. (2019), Mehrali et al. (2013)). They are superior to most homogeneous structural materials especially in applications where materials with high specific strength and stiffness are needed. The most important feature of inhomogeneous materials is the fact that their properties vary continuously in the solid (Ganapathi (2007), Hao et al. (2002) , Hirai and Chen (1999)). It should be noted that microstructure of such inhomogeneous materials as the functionally graded ones can be tailored during 27th International Conference on Fracture and Structural Integrity (IGF27) Fracture study of inhomogeneous viscoelastic beam with longitudinal cracks under axial force and bending moment 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 © 2023 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 IGF27 chairpersons

2452-3216 © 2023 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 IGF27 chairpersons 10.1016/j.prostr.2023.06.035