On norms of force functionals and stress representations

Research output: Contribution to journalArticlepeer-review

Abstract

Forces in continuum mechanics are analyzed as 0-currents of geometric measure theory. The representation of forces by stresses is discussed and the flat norm of a force is expressed in terms of stress fields. An analogous treatment expresses the Sobolev norm of a force in terms of stress fields. In both cases, one obtains bounds on the stress fields that are in equilibrium with a given force. The analysis is universal in the sense that it is independent of any constitutive relation.

Original languageEnglish
Pages (from-to)229-250
Number of pages22
JournalMathematics and Mechanics of Solids
Volume11
Issue number3
DOIs
StatePublished - 1 Jun 2006

Keywords

  • Continuum mechanics
  • Divergence measures
  • Flat chains
  • Forces
  • Norms
  • Sobolev norms
  • Stresses

ASJC Scopus subject areas

  • General Mathematics
  • General Materials Science
  • Mechanics of Materials

Fingerprint

Dive into the research topics of 'On norms of force functionals and stress representations'. Together they form a unique fingerprint.

Cite this