On the geometric character of stress in continuum mechanics
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 a...
| Autores: | , , , , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2007 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/8516 |
| Acceso en línea: | https://hdl.handle.net/2117/8516 https://dx.doi.org/10.1007/s00033-007-6141-8 |
| Access Level: | acceso abierto |
| Palabra clave: | Continuum mechanics--Mathematical models Continuum mechanics elasticity stress tensor differential forms Mecànica dels medis continus Àrees temàtiques de la UPC::Física::Física de l'estat sòlid |
| Sumario: | 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. |
|---|