Published September 2007 | public
Journal Article

On the geometric character of stress in continuum mechanics

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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