Equilibrium problem for a Timoshenko plate with an oblique crack

被引:0
作者
N. P. Lazarev
机构
[1] Ammosov Northeast Federal University,Institute of Mathematics
[2] Russian Academy of Sciences,Lavrent’ev Institute of Hydrodynamics, Siberian Branch
来源
Journal of Applied Mechanics and Technical Physics | 2013年 / 54卷
关键词
plate; crack; cut; nonpenetration condition; variational problem;
D O I
暂无
中图分类号
学科分类号
摘要
The condition of mutual nonpenetration of the crack faces is proposed for a Timoshenko plate with an oblique crack, whose initial state is defined by a surface the normal to which makes a small angle with the middle plane. Unique solvability of the variational problem of plate equilibrium with the nonpenetration conditions for the crack faces specified on the curve describing the crack is proved. A differential formulation of the problem equivalent to the original formulation for sufficiently smooth solutions is proposed. For the one-dimensional case (beam with a cut), an analytical solution is obtained, and the cases of longitudinal tension and compression are examined.
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页码:662 / 671
页数:9
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