Equilibrium of a Three-Layer Plate with a Crack

被引：0
|
作者：
Pyatkina E.V. [1 ]
机构：
[1] Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy ofSciences, Novosibirsk
来源：
Journal of Applied and Industrial Mathematics | 2022年 / 16卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
crack with nonpenetration condition; Kirchhoff–Love plate; three-layer plate;
D O I：
10.1134/S1990478922010124
中图分类号：
TU3 [建筑结构];
学科分类号：
081304 ; 081402 ;
摘要：
Abstract: We study the problem of equilibrium for a three-layer plate clamped at the outer edge andcontaining a through vertical crack. The three-layer plate consists of two structural layersconsidered as anisotropic Kirchhoff–Love plates and a soft layer between them. Thenonpenetration condition is imposed at the crack edges in the structural layers. The passage tothe limit as the width of the soft layer tends to zero and its reduced stiffness tends to infinity isconsidered. The unique solvability is shown and variational and differential statements arepresented for both problems. © 2022, Pleiades Publishing, Ltd.
引用
收藏
页码：122 / 135
页数：13
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