A Model for a Two-Layered Plate with Interfacial Slip
A Model for a Two-Layered Plate with Interfacial Slip
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DOI：
10.1007/978-3-0348-8530-0_9
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发表时间：
1994
影响因子：
3.1
通讯作者：
S. Hansen
中科院分区：
文献类型：
--
作者：
S. Hansen
在本文中，我们推导了两层板的一个模型，在该模型中，界面处可能发生滑移。我们假设，一层厚度可以忽略不计的“胶层”将两个相邻的表面粘合在一起，使胶水产生的恢复力与滑移量成正比。在每个板中，应用Timoshenko梁理论的假设(即，在平衡时与每个心板垂直的直丝在变形过程中保持直)，并通过虚功原理推导出运动方程。通过将剪切刚度参数和粘结强度参数传递到无穷远的奇异摄动，我们将所得系统与Mindlin-Timoshenko-Reissner板系统和Kirchhoff板系统联系起来。
In this paper we derive a model for a two-layered plate in which slip can occur at the interface. We assume that a “glue” layer of negligible thickness bonds the two adjoining surfaces in such a way that the restoring force created by the glue is proportional to the amount of slippage. Within each plate the assumptions of Timoshenko beam theory (namely, that the straight filaments orthogonal to each center sheet at equilibrium remain straight during deformation) are applied and the equations of motion are derived through the principle of virtual work. We relate the resulting system to the Mindlin-Timoshenko-Reissner plate system and also to the Kirchhoff plate system by singular perturbations involving passing the shear stiffness parameter and the glue strength parameter to infinity.