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.
CitationKanso, E. [et al.]. On the geometric character of stress in continuum mechanics. "Zeitschrift für angewandte Mathematik und Physik", Setembre 2007, vol. 58, núm. 5, The original publication is available at http://www.springerlink.com/content/8283q278133p8546/?p=75d92e1928fc4e1badf13a62bf1501fd&pi=8, p. 843-856.
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder. If you wish to make any use of the work not provided for in the law, please contact: email@example.com