PSI - Issue 54

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2023) 000 – 000

www.elsevier.com/locate/procedia

ScienceDirect

Procedia Structural Integrity 54 (2024) 468–474

© 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 scientific committee of the ICSI 2023 organizers Abstract The constantly growing use of functionally graded materials in advanced engineering structures puts high requirements towards their fracture behaviour. This theoretical paper is devoted to a non-linear rheological model and its application in fracture analysis of a load-carrying beam-like engineering structure with an arbitrary number of longitudinal vertical cracks. The functionally graded beam researched in this paper has viscoplastic behaviour. The rheological model is structured by springs, dashpots and a frictional slider (the latter takes into account the plastic strains in the beam). The rheological model is with two consecutive units. Solutions of the time-dependent strain energy release rate for each crack in the functionally graded beam structure under external mechanical loading are found-out by making use of the rheological model. The time-dependent balance of the energy for each crack is examined for control of the solutions extracted. The solutions take into account the viscoplastic behaviour and the progressive variation of the properties in the beam structure. It is shown that the solutions extracted in this paper can be turned to use to examine the relation between the distribution of mechanical properties and the longitudinal fracture in engineering structural components produced of functionally graded engineering materials with viscoplastic behaviour. © 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 scientific committee of the ICSI 2023 organizers Keywords: Non-linear rheological behaviour; Longitudinal fracture; Functionally graded material; Beam structure International Conference on Structural Integrity 2023 (ICSI 2023) Longitudinal fracture of functionally graded beams with non-linear rheological behaviour 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 scientific committee of the ICSI 2023 organizers

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 scientific committee of the ICSI 2023 organizers 10.1016/j.prostr.2024.01.108