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Published September 2007 | public
Journal Article

On the geometric character of stress in continuum mechanics

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

Created:
August 19, 2023
Modified:
October 20, 2023