Relationship between contact stiffness, contact depth, and mechanical properties for indentation in linear viscoelastic solids using axisymmetric indenters

Yang Tse Cheng, Che Min Cheng

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We derive a relationship between the initial unloading slope, contact depth, and the instantaneous relaxation modulus for indentation in linear viscoelastic solids by a rigid indenter with an arbitrary axisymmetric smooth profile. Although the same expression is well known for indentation in elastic and in elastic-plastic solids, we show that it is also true for indentation in linear viscoelastic solids, provided that the unloading rate is sufficiently fast. Finite element calculations are used to illustrate the relationship for indentation using conical and spherical indenters. These results help provide a sound basis for using the relationship for determining properties of viscoelastic solids using micro- and nano-indentation techniques.

Original languageEnglish
Pages (from-to)561-569
Number of pages9
JournalStructural Control and Health Monitoring
Volume13
Issue number1
DOIs
StatePublished - Jan 2006

Keywords

  • Axisymmetric indenter
  • Contact depth
  • Contact stiffness
  • Indentation
  • Linearly viscoelastic solids

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Mechanics of Materials

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