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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-7pp.5915-5929

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K.B. Ustinov, "T-Stresses at the Tip of a Semi-Infinite Interface Crack between a Layer and a Half-Plane or Between Two Parts of a Bilayer," Mech. Solids. 60 (7), 5915-5929 (2025)
Year 2025 Volume 60 Number 7 Pages 5915-5929
DOI 10.1134/S0025654425605907
Title T-Stresses at the Tip of a Semi-Infinite Interface Crack between a Layer and a Half-Plane or Between Two Parts of a Bilayer
Author(s) K.B. Ustinov (Ishlinsky Institute for Problems in Mechanics of RAS, Moscow, 119526 Russia, ustinov@ipmnet.ru)
Abstract The problem of linear isotropic elasticity is addressed for two geometries: (i) a bilayer, composed by two layers of equal thickness, with a semi-infinity interface crack; (ii) a layer adjusted to a half-plane with a semi-infinity interface crack. In both cases the consideration is restricted the elastic properties of the adjusted parts that are assumed arbitrary but with the restriction of zero second Dundurs’ parameter. The arbitrary load is considered to be applied far apart from the crack tip. The expressions for T-stresses, i.e., the leading non-singular terms of the stress near the crack tip, are obtained analytically in terms of double integrals that were tabulated using numerical integration for a wide range of ratio of elastic moduli.
Keywords T-stress, interface crack, Dundurs’ parameters, analytical solution
Received 14 October 2025Revised 29 October 2025Accepted 30 October 2025
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