PSI - Issue 26

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

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Procedia Structural Integrity 26 (2020) 86–96

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© 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 Effects of aging on lengthwise fracture in a continuously inhomogeneous double cantilever beam configuration which exhibits elastic-plastic behavior is studied analytically in terms of the strain energy release rate. The material is continuously inhomogeneous along the height, width and length of the beam structure. The external loading consists of two bending moments applied at the free ends of crack arms. A solution to the strain energy release rate is derived by analyzing the beam complementary strain energy with considering the aging of the inhomogeneous material. In order to verify the non-linear time-dependent solution derived, the strain energy release rate is obtained also by analyzing the balance of the energy. The solution derived is applied to investigate the variation of the strain energy release rate with the time due to the aging of the material. The effects of inhomogeneity along the height, width and length of the beam on the fracture are investigated too. © 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: Continuously inhomogeneous material; Fracture; Aging; Material non-linearity 1. Introduction Continuously inhomogeneous materials have attracted significant attention from the scientific community in the last three decades (Gasik (2010), Hirai and Chen (1999), Knoppers et al. (2003), Kou et al. (2012), Le (2017), Mao et al. (2014), Saiyathibrahim et al. (2016), Shrikantha and Gangadharan (2014), Wu et al. (2014), Zhang et al. (2010), Zuiker et al. (1995)). One of the most important features of these materials is the continuous variation in their composition. By controlled spatial tailoring of the microstructure and composition in one or more directions during This Τ he 1 st Mediterranean Conference on Fracture and Structural Integrity, MedFract1 Effects of aging on lengthwise fracture in continuously inhomogeneous elastic-plastic beams: an analytical study Victor Rizov* Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, 1 Chr. Smirnensky blvd., 1046 – Sofia, Bulgaria Abstract

* 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.2020.06.011