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On the geometric character of stress in continuum mechanics
| dc.contributor.author | Kanso, E |
| dc.contributor.author | Arroyo Balaguer, Marino |
| dc.contributor.author | Tong, Y Y |
| dc.contributor.author | Yavari, A |
| dc.contributor.author | Marsden, J G |
| dc.contributor.author | Desbrun, M |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
| dc.date.accessioned | 2010-07-30T17:39:47Z |
| dc.date.available | 2010-07-30T17:39:47Z |
| dc.date.created | 2007-09 |
| dc.date.issued | 2007-09 |
| dc.identifier.citation | Kanso, 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. |
| dc.identifier.issn | 0044-2275 |
| dc.identifier.uri | http://hdl.handle.net/2117/8516 |
| dc.description.abstract | 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. |
| dc.format.extent | 14 p. |
| dc.language.iso | eng |
| dc.subject | Àrees temàtiques de la UPC::Física::Física de l'estat sòlid |
| dc.subject.lcsh | Continuum mechanics--Mathematical models |
| dc.subject.other | Continuum mechanics |
| dc.subject.other | elasticity |
| dc.subject.other | stress tensor |
| dc.subject.other | differential forms |
| dc.title | On the geometric character of stress in continuum mechanics |
| dc.type | Article |
| dc.subject.lemac | Mecànica dels medis continus |
| dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
| dc.identifier.doi | 10.1007/s00033-007-6141-8 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.relation.publisherversion | https://link.springer.com/article/10.1007/s00033-007-6141-8 |
| dc.rights.access | Open Access |
| local.identifier.drac | 799403 |
| dc.description.version | Postprint (author’s final draft) |
| local.citation.author | Kanso, E.; Arroyo, M.; Tong, Y.; Yavari, A.; Marsden, J.; Desbrun, M. |
| local.citation.other | The original publication is available at http://www.springerlink.com/content/8283q278133p8546/?p=75d92e1928fc4e1badf13a62bf1501fd&pi=8 |
| local.citation.publicationName | Zeitschrift für angewandte Mathematik und Physik |
| local.citation.volume | 58 |
| local.citation.number | 5 |
| local.citation.startingPage | 843 |
| local.citation.endingPage | 856 |
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