Equilibrium of a three-layer plate with a crack Full article
| Journal |
Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 |
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| Output data | Year: 2022, Volume: 16, Number: 1, Pages: 122-135 Pages count : 14 DOI: 10.1134/S1990478922010124 | ||
| Tags | Kirchhoff–Love plate, three-layer plate, crack with nonpenetration condition | ||
| Authors |
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| Affiliations |
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Abstract:
We study the problem of equilibrium for a three-layer plate clamped at the outer
edge and containing a through vertical crack. The three-layer plate consists of two structural
layers considered as anisotropic Kirchhoff–Love plates and a soft layer between them. The
nonpenetration condition is imposed at the crack edges in the structural layers. The passage to
the limit as the width of the soft layer tends to zero and its reduced stiffness tends to infinity
is considered. The unique solvability is shown and variational and differential statements are
presented for both problems.
Cite:
Pyatkina E.V.
Equilibrium of a three-layer plate with a crack
Journal of Applied and Industrial Mathematics. 2022. V.16. N1. P.122-135. DOI: 10.1134/S1990478922010124 Scopus РИНЦ OpenAlex
Equilibrium of a three-layer plate with a crack
Journal of Applied and Industrial Mathematics. 2022. V.16. N1. P.122-135. DOI: 10.1134/S1990478922010124 Scopus РИНЦ OpenAlex
Original:
Пяткина Е.В.
Равновесие трехслойной пластины с трещиной
Сибирский журнал индустриальной математики. 2022. Т.25. №1. С.105--120. РИНЦ
Равновесие трехслойной пластины с трещиной
Сибирский журнал индустриальной математики. 2022. Т.25. №1. С.105--120. РИНЦ
Dates:
| Submitted: | Jul 22, 2021 |
| Accepted: | Oct 21, 2021 |
Identifiers:
| ≡ Scopus: | 2-s2.0-85134008138 |
| ≡ Elibrary: | 51950044 |
| ≡ OpenAlex: | W4285410626 |