PSI - Issue 47

Available online at www.sciencedirect.com Available online at www.sciencedirect.com Available online at www.sciencedirect.com

ScienceDirect

Procedia Structural Integrity 47 (2023) 545–551 Structural Integrity Procedia 00 (2023) 000–000 Structural Integrity Procedia 00 (2023) 000–000

www.elsevier.com / locate / procedia www.elsevier.com / locate / procedia

© 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 The bridged crack model together with the kinetic theory of bonds formation are used to model cracks healing process. The crack healing is treated as a crack bridged zone formation during bonds regeneration between crack faces. The increasing in bonds density over time leads to the bonds sti ff ness increasing in the crack bridged zone. The main task of the modelling consists in the computing the bridging stresses distribution over the formed crack bridged zone and in the computing of the stress intensity factors which are the main characteristics of cracks healing e ffi ciency. The mathematical background of the stresses problem solution is based on the method singular integral-di ff erential equations. Di ff erent cracks healing processes with various mechanisms of healing and self-healing can be analyzed in the framework of the proposed model. Some results of cracks healing analysis are presented and discussed. © 2023 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 / ) 27th International Conference on Fracture and Structural Integrity (IGF27) Modeling of cracks healing in composites by bridged zone growth Mikhail Perelmuter ∗ Ishlinsky Institute for Problems in Mechanics RAS, Vernadsky avenue 101-1, Moscow, 119526, Russia Abstract The bridged crack model together with the kinetic theory of bonds formation are used to model cracks healing process. The crack healing is treated as a crack bridged zone formation during bonds regeneration between crack faces. The increasing in bonds density over time leads to the bonds sti ff ness increasing in the crack bridged zone. The main task of the modelling consists in the computing the bridging stresses distribution over the formed crack bridged zone and in the computing of the stress intensity factors which are the main characteristics of cracks healing e ffi ciency. The mathematical background of the stresses problem solution is based on the method singular integral-di ff erential equations. Di ff erent cracks healing processes with various mechanisms of healing and self-healing can be analyzed in the framework of the proposed model. Some results of cracks healing analysis are presented and discussed. © 2023 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 / ) 27th International Conference on Fracture and Structural Integrity (IGF27) Modeling of cracks healing in composites by bridged zone growth Mikhail Perelmuter ∗ Ishlinsky Institute for Problems in Mechanics RAS, Vernadsky avenue 101-1, Moscow, 119526, Russia

Peer-review under responsibility of the IGF27 chairpersons. Keywords: cracks; self-healing; bridged zone; stress intensity factors Peer-review under responsibility of the IGF27 chairpersons. Keywords: cracks; self-healing; bridged zone; stress intensity factors

1. Introduction 1. Introduction

During the last decades a wide range of self-healing materials (metals, polymers, ceramics) and di ff erent ap proaches for cracks self-healing have been developed, see White et al. (2001); Trask et al. (2007); Blaiszik et al. (2008); Lanzara et al. (2009); Bekas et al. (2016); Tavangarian et al. (2018). Cracks self-healing in polymeric mate rials can occur under special external influences, activating chemical or physical processes in the material. Another approach is based on the development of special composite materials containing special components (inclusions) with ”healing fluid”, which provide self-healing of the material during cracks formation, see White et al. (2001). High e ffi ciency is also demonstrated by the technique of introducing fibers with shape memory properties (nitinol, for example) into a polymer composite material. In this case fibers, due to the reverse phase transformation, lead to crack closure and healing, Burton et al. (2006). New area of self-healing materials application is thermal barrier and anticorrosion coatings, Koch et al. (2022); Udoh et al. (2022). During the last decades a wide range of self-healing materials (metals, polymers, ceramics) and di ff erent ap proaches for cracks self-healing have been developed, see White et al. (2001); Trask et al. (2007); Blaiszik et al. (2008); Lanzara et al. (2009); Bekas et al. (2016); Tavangarian et al. (2018). Cracks self-healing in polymeric mate rials can occur under special external influences, activating chemical or physical processes in the material. Another approach is based on the development of special composite materials containing special components (inclusions) with ”healing fluid”, which provide self-healing of the material during cracks formation, see White et al. (2001). High e ffi ciency is also demonstrated by the technique of introducing fibers with shape memory properties (nitinol, for example) into a polymer composite material. In this case fibers, due to the reverse phase transformation, lead to crack closure and healing, Burton et al. (2006). New area of self-healing materials application is thermal barrier and anticorrosion coatings, Koch et al. (2022); Udoh et al. (2022).

∗ Corresponding author. Tel.: + 7-495-433-6257; fax: + 7-499-739-9531. E-mail address: perelm@ipmnet.ru ∗ Corresponding author. Tel.: + 7-495-433-6257; fax: + 7-499-739-9531. E-mail address: perelm@ipmnet.ru

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.2023.07.070 2210-7843 © 2023 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 the IGF27 chairpersons. 2210-7843 © 2023 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 the IGF27 chairpersons.