RUS  ENG
Full version
JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2024 Volume 24, Number 1, Pages 73–95 (Mi dvmg533)

This article is cited in 2 papers

Equilibrium problems for elastic body with a crack and thin conjugated inclusions

N. A. Nikolaeva

North-Eastern Federal University named after M. K. Ammosov, Yakutsk

Abstract: An equilibrium problem for an elastic body is considered. It is assumed that the body has crack which junction the thin inclusion at a given point. We analyze a conjugate conditions parts of thin inclusion. Inequality type boundary conditions are considered at the crack faces to prevent a mutual penetration between the faces. Existence of solutions is proved. Equivalent problem formulations are discussed. The passage to the limit under stiffness parameter of thin inclusions to infinity.

Key words: crack, thin hard inclusion, fine elastic inclusion, variational problem, non-penetration condition.

UDC: 517.5

MSC: Primary 30A10; Secondary 30C10, 30C15

Received: 22.03.2022
Accepted: 24.05.2024

DOI: 10.47910/FEMJ202408



© Steklov Math. Inst. of RAS, 2026