Mesoscopic theory of microcracks

C. Papenfuss, P. Ván, W. Muschik

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

The mesoscopic concept is a way to deal with complex materials with an internal structure within continuum mechanics. It consists of extending the domain of the balance equations by mesoscopic variables and of introducing a local distribution function of these variables as a statistical element. In our case microcracks are modelled as penny-shaped and are completely characterized by their diameter and the unit normal to the crack surface. Two examples of crack dynamics are given as well as a possible definition of a damage parameter. Orientational order parameters (fabric-alignment tensors) are defined and balance-like dynamic equations for them are derived.

Original languageEnglish
Pages (from-to)481-499
Number of pages19
JournalArchives of Mechanics
Volume55
Issue number5-6
Publication statusPublished - 2003

Fingerprint

microcracks
Microcracks
Cracks
continuum mechanics
Continuum mechanics
surface cracks
Distribution functions
Tensors
cracks
distribution functions
alignment
tensors
damage

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering

Cite this

Papenfuss, C., Ván, P., & Muschik, W. (2003). Mesoscopic theory of microcracks. Archives of Mechanics, 55(5-6), 481-499.

Mesoscopic theory of microcracks. / Papenfuss, C.; Ván, P.; Muschik, W.

In: Archives of Mechanics, Vol. 55, No. 5-6, 2003, p. 481-499.

Research output: Contribution to journalArticle

Papenfuss, C, Ván, P & Muschik, W 2003, 'Mesoscopic theory of microcracks', Archives of Mechanics, vol. 55, no. 5-6, pp. 481-499.
Papenfuss C, Ván P, Muschik W. Mesoscopic theory of microcracks. Archives of Mechanics. 2003;55(5-6):481-499.
Papenfuss, C. ; Ván, P. ; Muschik, W. / Mesoscopic theory of microcracks. In: Archives of Mechanics. 2003 ; Vol. 55, No. 5-6. pp. 481-499.
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