Frictionless and adhesive nanoindentation: Asymptotic modeling of size effects

被引:46
作者
Argatov, I. [1 ]
机构
[1] Inst Problems Mech Engn, VO, Lab Frict & Wear, St Petersburg 199178, Russia
关键词
Nanoindentation; Elastic layer; Spherical indenter; Receding contact; Asymptotic modeling; MECHANICAL-PROPERTIES; ELASTIC-MODULUS; CONTACT; INDENTATION; BOUNDARY; PUNCH;
D O I
10.1016/j.mechmat.2010.04.002
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Widely used the Bulychev-Alekhin-Shorshorov relation for analyzing nanoindentation load-displacement data to determine elastic modulus of a thin specimen does not account for the size of specimen since the BASh relation is based on analytical solutions of the contact problems for an elastic half-space In order to model the substrate effect, the unilateral contact problem for a spherical indenter pressed against an elastic layer on an elastic half-space is analyzed for different types of boundary conditions imposed at the interface between the specimen and the substrate Approximate (asymptotically exact) solutions are obtained in explicit form The influence of the substrate effect on the incremental contact stiffness is described in terms of the asymptotic constants possessing information about the thickness of the specimen and depending on the relative stiffness of the substiate. (C) 2010 Elsevier Ltd. All rights reserved
引用
收藏
页码:807 / 815
页数:9
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