PSI - Issue 83

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ScienceDirect

Procedia Structural Integrity 83 (2026) 95–104

© 2026 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 scientific committee of the ESIAM26 organizers Keywords: Lengthwise fracture, moving functionally graded planar components; complex geometric shape; non-linear elastic body; parametric investigation Abstract The aim of the current paper is to theoretically analyze the lengthwise fracture in a moving functionally graded frame-like planar component consisting of three rigidly connected bars. There is a lengthwise crack in one of the bars. The component moves in the vertical plane according to a given law. The inertia loads and their distribution in the component are analyzed. The component behaves as a non-linear elastic body. The parameters of the non-linear stress-strain relation used to treat the component behavior are distributed smoothly over the thickness, since the bars are functionally graded along their thickness. The strain energy release rate (SERR) in the frame-like component is derived. The solution is checked by applying the method of J -integral. The SERR solution is used for evaluation of the effects of various factors (geometric shape, distribution of the parameters of non-linear stress-strain law, length of the bars, and others) on the lengthwise fracture in the planar component. In this regard, a parametric investigation is conducted. Various graphs indicating variation of the SERR are presented. The fourth European Conference on the Structural Integrity of Additively Manufactured Materials (ESIAM26) On the problem of lengthwise fracture in moving functionally graded components of complex geometric shapes Victor Rizov* Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy, 1 Chr. Smirnensky blvd., 1046 – Sofia, Bulgaria

1. Introduction The utilization of functionally graded materials in various areas of engineering is growing rapidly due to their

* Corresponding author. Tel.: + (359-2) 963 52 45/664; fax: +(359-2) 865 68 63. E-mail address: v_rizov_fhe@uacg.bg

2452-3216 © 2026 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 scientific committee of the ESIAM26 organizers 10.1016/j.prostr.2026.07.012