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On the geometric character of stress in continuum mechanics

Kanso, Eva and Arroyo, Marino and Tong, Yiying and Yavari, Arash and Marsden, Jerrold E. and Desbrun, Mathieu (2007) On the geometric character of stress in continuum mechanics. Zeitschrift für Angewandte Mathematick und Physik, 58 (5). pp. 843-856. ISSN 0044-2275. http://resolver.caltech.edu/CaltechAUTHORS:20100819-135811591

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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


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/s00033-007-6141-8DOIUNSPECIFIED
http://www.springerlink.com/content/8283q278133p8546/PublisherUNSPECIFIED
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.
Funders:
Funding AgencyGrant Number
California Institute of TechnologyUNSPECIFIED
NSF-ITRACI-0204932
Subject Keywords:Continuum mechanics - elasticity - stress tensor - differential forms
Record Number:CaltechAUTHORS:20100819-135811591
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20100819-135811591
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19525
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:19 Aug 2010 22:18
Last Modified:26 Dec 2012 12:20

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