Journal of Materials Research

Rapid Communications

Energy dissipated during spherical indentation

Jürgen Malzbendera1 c1

a1 Forschungszentrum Jülich GmbH, Institute for Materials and Processes in Energy Systems, 52425 Jülich, Germany


A relationship is derived for spherical indentation relating the dissipated energy to the ratio of hardness to elastic modulus and the ratio of indentation depth to radius. The result agrees with recent findings obtained on the basis of scaling relationships in combination with finite element simulations. Furthermore, relationships are given for hardness, elastic modulus and contact area, which permit a determination of these properties independent of the strain hardening characteristics and independent of pileup and sink-in.

(Received January 22 2004)

(Accepted March 22 2004)

Key Words:

  • Elastic properties;
  • Hardness;
  • Indentation


c1 Address all correspondence to this author.e-mail: