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Indentation of a Viscoelastic Half-Space

  • Ivan Argatov
  • Gennady Mishuris
Chapter
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 91)

Abstract

In this chapter, we consider frictionless indentation problems for a viscoelastic half-space. We note that, throughout the chapter, the indenter displacement is denoted by w(t). Previous notation has been altered to avoid confusion with Dirac’s delta function \(\delta (t)\), as well as with the loss angle \(\delta (\omega )\). As is well known, a viscoelastic material is characterized by a number of time-dependent moduli, and a certain combination of them, called the indentation relaxation modulus and denoted by \(M_3(t)\), will determine the material’s response to indentation. Depending on the type of loading protocol, different information can be gathered from the indentation test about the indentation relaxation modulus and its inverse counterpart \(C_3(t)\), called the indentation creep compliance.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Institute of MechanicsTechnical University of BerlinBerlinGermany
  2. 2.Department of Mathematics, IMPACSAberystwyth UniversityAberystwythUK

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