PSI - Issue 68

ScienceDirect Structural Integrity Procedia 00 (2025) 000–000 Structural Integrity Procedia 00 (2025) 000–000 Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Available online at www.sciencedirect.com ScienceDirect

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Procedia Structural Integrity 68 (2025) 219–224

European Conference on Fracture 2024 Stress analysis of axisymmetric interface cracks with bridged and damaged zones M. Perelmuter* Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526, prospect Vernadskogo 101-1, Russia Abstract The direct boundary integral equations method in axisymmetric formulation is developed and implemented for stress analysis in structures with interface bridged cracks and damaged zones. For interface cracks modelling the multi-regions technique is used. It is assumed that: a) the crack faces interact in some zones behind of crack tips (bridged zones); b) these zones sizes can be comparable to the whole crack length; c) parts of the structure can be connected by mechanical ligaments (including interfaces ahead of cracks tips) and the relative displacements of these parts can occur under the loading (damaged or weak zones). The boundary element software to solve axisymmetric elasticity problems is developed. The results for different properties of composite materials and bonds are presented. Applications to modeling of cracks self-healing have been also considered. © 2025 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 ECF24 organizers Keywords: Boundary integral equations; axisymmetric kernels; interface bridged cracks; damaged zones. 1. Introduction Analysis of cracks growth in composite materials and in adhesive joints using the crack process zone models (cohesive or bridged) includes the problem of displacements and stresses computation in crack process zones and in vicinity of cracks edges. In this paper the bridged crack approach is considered as a crack process zone model. This approach is assumed that the stress intensity factors (SIF) do not vanish at the crack tips. The problems of displacements and stresses analysis and also the SIF computation for bridged cracks in homogeneous infinite media were considered by Weitsman (1986) and Rose (1987) (planar problems) and Movchan (1998) (axisymmetric problems). The problems European Conference on Fracture 2024 Stress analysis of axisymmetric interface cracks with bridged and damaged zones M. Perelmuter* Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526, prospect Vernadskogo 101-1, Russia Abstract The direct boundary integral equations method in axisymmetric formulation is developed and implemented for stress analysis in structures with interface bridged cracks and damaged zones. For interface cracks modelling the multi-regions technique is used. It is assumed that: a) the crack faces interact in some zones behind of crack tips (bridged zones); b) these zones sizes can be comparable to the whole crack length; c) parts of the structure can be connected by mechanical ligaments (including interfaces ahead of cracks tips) and the relative displacements of these parts can occur under the loading (damaged or weak zones). The boundary element software to solve axisymmetric elasticity problems is developed. The results for different properties of composite materials and bonds are presented. Applications to modeling of cracks self-healing have been also considered. © 2025 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 ECF24 organizers Keywords: Boundary integral equations; axisymmetric kernels; interface bridged cracks; damaged zones. 1. Introduction Analysis of cracks growth in composite materials and in adhesive joints using the crack process zone models (cohesive or bridged) includes the problem of displacements and stresses computation in crack process zones and in vicinity of cracks edges. In this paper the bridged crack approach is considered as a crack process zone model. This approach is assumed that the stress intensity factors (SIF) do not vanish at the crack tips. The problems of displacements and stresses analysis and also the SIF computation for bridged cracks in homogeneous infinite media were considered by Weitsman (1986) and Rose (1987) (planar problems) and Movchan (1998) (axisymmetric problems). The problems © 2025 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 ECF24 organizers

* Corresponding author. Tel.:+7-495-433-62-57; fax:+7-499-739-95-31 E-mail address: perelm@ipmnet.ru * Corresponding author. Tel.:+7-495-433-62-57; fax:+7-499-739-95-31 E-mail address: perelm@ipmnet.ru

2452-3216 © 2025 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 ECF24 organizers 2452-3216 © 2025 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 ECF24 organizers

2452-3216 © 2025 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 ECF24 organizers 10.1016/j.prostr.2025.06.045