Fracture Mechanics and Strength of Materials

Torsion of a Transversely Isotropic Elastic-Plastic Solid with a Healed Disc-Shaped Crack

Vitalii Melnyk

Karpenko Physico-Mechanical Institute of NAS of Ukraine

https://doi.org/10.15407/msse2025.01.237

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Keywords

crack healing, transversely isotropic cylinder, elastoplastic material, strength, anisotropy, torsion

Abstract

We develop a mathematical model for healing a disc-shaped crack in a transversely isotropic elastoplastic cylindrical body under torsion. The boundary-value problem is reduced to an integral equation for the angular displacement on the crack faces. For the case of a fully filled crack, a closed-form analytical solution is obtained. The strengthening effect is quantified in terms of the crack geometry and the mechanical properties of the cured injection material.

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