On the geometric character of stress in continuum mechanics
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- Kanso, E., Arroyo, M., Tong, Y. et al. Z. angew. Math. Phys. (2007) 58: 843. doi:10.1007/s00033-007-6141-8
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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.