Title:
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On the geometric character of stress in continuum mechanics
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Author:
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Kanso, E; Arroyo Balaguer, Marino; Tong, Y Y; Yavari, A; Marsden, J G; Desbrun, M
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
Abstract:
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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. |
Abstract:
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Peer Reviewed |
Subject(s):
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-Àrees temàtiques de la UPC::Física::Física de l'estat sòlid -Continuum mechanics--Mathematical models -Continuum mechanics -elasticity -stress tensor -differential forms -Mecànica dels medis continus |
Rights:
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Document type:
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Article - Submitted version Article |
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