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On the geometric character of stress in continuum mechanics

Autor
Kanso, E.; Arroyo, M.; Yiying, T.; Yavari, A.; Jerrold, M.
Tipus d'activitat
Article en revista
Revista
Zeitschrift für angewandte Mathematik und Mechanik
Data de publicació
2007-09
Volum
58
Número
5
Pàgina inicial
843
Pàgina final
856
DOI
https://doi.org/10.1007/s00033-007-6141-8 Obrir en finestra nova
URL
https://link.springer.com/article/10.1007/s00033-007-6141-8 Obrir en finestra nova
Resum
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.
Paraules clau
Continuum Mechanics, Elasticity, Stress Tensor, Differential Forms
Grup de recerca
LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria

Participants

  • Kanso, Eva  (autor)
  • Arroyo Balaguer, Marino  (autor)
  • Yiying, Tong  (autor)
  • Yavari, Arash  (autor)
  • Jerrold, Marsden And Mathieu Desbrun  (autor)