The pressure of a punch in the form of an elliptic paraboloid on a thin elastic layer

被引：10
作者：
Argatov, II [1 ]
机构：
[1] Rhein Westfal TH Aachen, Inst Gen Mech, D-52062 Aachen, Germany
来源：
ACTA MECHANICA | 2005年 / 180卷 / 1-4期
关键词：
Boundary Layer; Dynamical System; Layer Thickness; Contact Area; Rigid Body;
D O I：
10.1007/s00707-005-0217-3
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The problem of the indentation (without friction) of an absolutely rigid body into a thin elastic layer is investigated. It is assumed that the diameter of the contact area, which is unknown in advance, is large compared with the layer thickness. The inner asymptotic expansion for the contact pressure is obtained by means of the moment asymptotic expansion in the frame of the distributional theory of asymptotic expansions. The boundary layer is constructed using Alexandrov's method.
引用
收藏
页码：221 / 232
页数：12
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