On jets, almost symmetric tensors, and traction hyper-stresses
| Autor: | Segev, Reuven, Sniatycki, Jedrzej |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Math. Mech. Compl. Sys. 6 (2018) 101-124 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2140/memocs.2018.6.101 |
| Popis: | The paper considers the formulation of higher-order continuum mechanics on differentiable manifolds devoid of any metric or parallelism structure. For generalized velocities modeled as sections of some vector bundle, a variational kth order hyper-stress is an object that acts on jets of generalized velocities to produce power densities. The traction hyper-stress is introduced as an object that induces hyper-traction fields on the boundaries of subbodies. Additional aspects of multilinear algebra relevant to the analysis of these objects are reviewed. Comment: 23 pages |
| Databáze: | arXiv |
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