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首页> 外文期刊>Journal of applied and industrial mathematics >A Contact Problem for an Elastic Plate with a Thin Rigid Inclusion
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A Contact Problem for an Elastic Plate with a Thin Rigid Inclusion

机译:薄刚性夹杂物的弹性板的接触问题

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摘要

Under study is an equilibrium problem for a plate under the influence of external forces. The plate is assumed to have a thin rigid inclusion that reaches the boundary at the zero angle and partially contacts a rigid body. On the inclusion face, there is a delamination. We consider the complete Kirchhoff–Love model, where the unknown functions are the vertical and horizontal displacements of the middle surface points of the plate. We present differential and variational formulations of the problem and prove the existence and uniqueness of a solution.
机译:正在研究中的是在外力影响下板的平衡问题。假定该板具有薄的刚性夹杂物,该夹杂物以零角度到达边界并部分接触刚体。夹杂物的表面存在分层。我们考虑完整的Kirchhoff-Love模型,其中未知函数是板中间表面点的垂直和水平位移。我们提出了该问题的差分和变分形式,并证明了该解决方案的存在性和唯一性。

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