CaltechAUTHORS
Published September 2007 | Version public
Journal Article Metadata-only

On the geometric character of stress in continuum mechanics

Creators

  • 1. ROR icon University of Southern California
  • 2. ROR icon Universitat Politècnica de Catalunya
  • 3. ROR icon California Institute of Technology
  • 4. ROR icon Georgia Institute of Technology

Abstract

This paper shows that the stress field in the classical theory of continuum mechanics may be taken to be a covector-valued differential two-form. The balance laws and other fundamental laws of continuum mechanics may be neatly rewritten in terms of this geometric stress. A geometrically attractive and covariant derivation of the balance laws from the principle of energy balance in terms of this stress is presented

Additional Information

© 2007 Birkhäuser Verlag, Basel. Received: December 10, 2006. Published Online First: June 6, 2007. Research partially supported by the California Institute of Technology and NSF-ITR Grant ACI-0204932.

Additional details

Identifiers

Eprint ID
19525
Resolver ID
CaltechAUTHORS:20100819-135811591

Funding

Caltech
NSF
ACI-0204932

Dates

Created
2010-08-19
Created from EPrint's datestamp field
Updated
2021-11-08
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