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.
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