Limiting equilibrium state of a transversely isotropic body with a healed penny-shaped crack

Keywords

injection technology, crack healing, strength, transversely isotropic body.

Cite as

Sylovanyuk V. P., Rudavskyy D. V., and Melnyk V. О. Limiting equilibrium state of a transversely isotropic body with a healed penny-shaped crack. Physicochemical Mechanics of Materials. 2025. 61(5), 102-108.

https://doi.org/10.15407/pcmm2025.05.102

Abstract

The problem of tensile loading in a transversely isotropic body with a healed disk-shaped crack is formulated within the framework of the δ_c-model. By utilizing the general solution of the equilibrium equations, expressed in terms of harmonic functions, along with a Winkler-type model, the problem is reduced to solving an integral equation governing the displacement of points on the crack surface. An analytical solution to the integral equation is derived based on certain assumptions, validated through finite element method (FEM) simulations. This solution enables the development of a simplified engineering formula for evaluating the effectiveness of crack reinforcement using injection technology.

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