Scalar, vectorial, and tensorial damage parameters from the mesoscopic background

Christina Papenfuss, Péter Ván

Research output: Contribution to journalArticle

6 Citations (Scopus)


In the mesoscopic theory a distribution of different crack sizes and crack orientations is introduced. A scalar damage parameter, a second order damage tensor, and a vectorial damage parameter are defined in terms of this distribution function. As an example of a constitutive quantity the free energy density is given as a function of the damage tensor. This equation is reduced in the uniaxial case to a function of the damage vector and in the case of a special geometry, to a function of the scalar damage parameter.

Original languageEnglish
Pages (from-to)132-141
Number of pages10
JournalProceedings of the Estonian Academy of Sciences
Issue number3
Publication statusPublished - Oct 9 2008



  • Damage
  • Damage mechanics
  • Damage parameter
  • Fabric-tensor
  • Microcracks

ASJC Scopus subject areas

  • Engineering(all)

Cite this