PSI - Issue 81

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ScienceDirect

Procedia Structural Integrity 81 (2026) 102–108

© 2026 The Authors. Copy from the contract: 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 DMDP 2025 organizers Keywords: Healed crack; Anisotropic body; Antiplane strain; Mode III crack; Inclusion; Stress intensity factor; Critical load. 1. Introduction To restore the serviceability of structural elements and structures damaged by various types of crack-like defects the injection reinforcement technology is used in engineering practice to strengthen defective areas (Sylovanyuk and Yukhym (2011), Panasyuk et al. (2014, 2018), Ma et al. (2017), Shan et al. (2021),Conde Silva and Serra (2022), Klym et al. (2025)). This involves injecting certain liquid materials into the damaged areas, which, after crystallisation or polymerisation, form strong adhesive bonds with the base material and ultimately strengthen the load-bearing structure. When filling a defect with injection material, it is not always possible to do so over its entire surface; therefore, to assess the strength and residual life of the restored elements, appropriate solutions to problems of elasticity theory and fracture mechanics for bodies with partially filled cracks are required Sylovanyuk and Yukhym (2011), Panasyuk et al. (2014), Sylovanyuk and Ivantyshyn (2022). Unlike cracks, whose surfaces are uniformly loaded or free of stress, filled defects require additional conditions to account for the interaction between the matrix and filler materials. Abstract The antiplane problem of the theory of elasticity of anisotropic bodies with partially injection-healed technologies of Mode III crack-like defects was solved. As part of the research conducted, based on numerical solutions of mathematical crack theory problems for anisotropic bodies with partially filled crack-like defects during longitudinal shear of their edges, the influence of crack surface filling levels on injection material on the stress intensity factors at the crack tips and the critical loads of the anisotropic bodies under consideration. Using the well known Winkler base model for the effect of the filler on the crack surface areas, the antiplane problem of the elasticity theory of an anisotropic body with a partially filled rectilinear crack (in the plane of longitudinal shear) was reduced to solving a singular integro-differential equation with respect to the jump function of shear displacements. Numerical solutions of the constructed equations were obtained by the quadrature method for a range of geometric and mechanical parameters of the problem (crack filling volumes, various types of orthotropic body materials and isotropic filler materials). The parameters of the problem were established under which a significant reduction in the stress intensity factors at the vertices of the filled crack and, accordingly, the maximum strengthening of the defective body under consideration were observed. VIII International Conference “In - service Damage of Materials: Diagnostics and Prediction“ (DMDP 2025) Limiting equilibrium state of anisotropic body with partially filled crack under antiplane deformation V. S. Kravets, N. A. Ivantyshyn, V. I. Marukha, M. V. Filipov * Karpenko Physico-Mechanical Institute of the National Academy of Sciences of Ukraine, 5, Naukova Str., Lviv 79060, Ukraine

* Corresponding author. Tel.: +38-068-135-0323. E-mail address: maksym.filipov@gmail.com

2452-3216 © 2026 The Authors. Copy from the contract: 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 DMDP 2025 organizers 10.1016/j.prostr.2026.03.019