FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Equilibrium problems for elastic body with a crack and thin conjugated inclusions |
Nikolaeva N.A. |
2024, issue 1, P. 73-95 DOI: https://doi.org/10.47910/FEMJ202408 |
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. |
Keywords: crack, thin hard inclusion, fine elastic inclusion, variational problem, non-penetration condition. |
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References |
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