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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2024 Volume 27, Number 4, Pages 68–83 (Mi sjim1303)

This article is cited in 1 paper

Junction problem for elastic Timoshenko inclusions in elastic bodies with a crack

N. A. Nikolaeva

North-Eastern Federal University, Yakutsk, 677027 Russia

Abstract: The paper is concerned with a junction problem for Timoshenko elastic inclusions placed in an elastic body with a crack. It is assumed that the crack crosses the thin inclusion at some point. This point is a mutual contact point. Inequality-type boundary conditions are imposed at the point of contact and on the crack edges to prevent mutual penetration between inclusion parts and crack edges, respectively. Existence and uniqueness theorems are established. Differential formulation in the form of a boundary value problem that contains junction boundary conditions is presented.

Keywords: junction conditions, nonlinear boundary conditions, Timoshenko inclusion, crack, variational inequality.

UDC: 539.3:517.95

Received: 13.10.2023
Revised: 21.05.2024
Accepted: 03.07.2024

DOI: 10.33048/SIBJIM.2024.27.405


 English version:
Journal of Applied and Industrial Mathematics, 2024, 18:4, 775–787


© Steklov Math. Inst. of RAS, 2026