PSI - Issue 42

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

www.elsevier.com/locate/procedia

ScienceDirect

Procedia Structural Integrity 42 (2022) 425–432

© 2022 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 23 European Conference on Fracture – ECF23 Abstract It is well-known that mechanical work spent on inelastic deformation of metal converts into the heat. However, experimental studies have shown that process of plastic deformation is accompanied not only by extensive heat dissipation but also by energy storage. Therefore, precise calculation of the dissipated energy value should take into account the portion of energy which is accumulated in the material. In this work, we applied thermodynamic constitutive theory based on multiple dissipation potentials to obtain constitutive equations for structural parameter responsible for the stored energy and plastic strain causing plastic dissipation. Evolution equation for structural parameter is derived from phenomenological form of free energy function. Combined hardening model is used for plastic strain calculation. Value of the dissipated energy is calculated as difference between plastic work and stored energy. We have applied this model to calculate dependence of dissipated energy per cycle on crack length for two titanium alloys (Ti-5Al-2V and Grade-2). Simulation was carried out in finite-element package Comsol Multiphysics in plane stress formulation. A stationary crack approach was used for energy balance calculation at the crack tip. Results of the simulation were compared with experimental data on heat dissipation obtained by original heat flux sensor. © 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 23 European Conference on Fracture - ECF23 Keywords: Energy dissipation; plastic work; fatigue 1. Introduction Experimental works by Farren and Taylor (1925), Taylor and Quinney (1934) have shown that only part of the plastic work converts into the heat. The remaining fraction of energy is accumulated in the material as a stored 23 European Conference on Fracture - ECF23 Numerical Modeling of Energy Dissipation during Fatigue Crack Propagation in Metals A. Kostina*, A. Izuimova, O. Plekhov Institute of continuous media mechanics of the Ural branch of Russian academy of science, Ac. Koroleva st.,1, Perm, 614013, Russia

* Corresponding author. Tel.: +7-342-237-8317; fax: +7-342-237-8487. E-mail address: kostina@icmm.ru

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 23 European Conference on Fracture - ECF23

2452-3216 © 2022 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 23 European Conference on Fracture – ECF23 10.1016/j.prostr.2022.12.054