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http://bura.brunel.ac.uk/handle/2438/20934| Title: | Transport Theorem for Spaces and Subspaces of Arbitrary Dimensions |
| Authors: | Jaric, J Vignjevic, R Mesarevic, S |
| Keywords: | hypersurfaces;discontinuities;convected coordinates |
| Issue Date: | 3-Jun-2020 |
| Publisher: | MDPI |
| Citation: | Jaric, J.P., Vignjevic, R. and Mesarovic, S.D. (2020) 'Transport Theorem for Spaces and Subspaces of Arbitrary Dimensions', Mathematics, 8, 899, pp. 1-23. doi: 10.3390/math8060899. |
| Abstract: | Copyright © 2020 by the authors. Using the apparatus of traditional differential geometry, the transport theorem is derived for the general case of a M-dimensional domain moving in a N-dimensional space, . The interesting concepts of curvatures and normals are illustrated with well-known examples of lines, surfaces and volumes. The special cases where either the space or the moving subdomain are material are discussed. Then, the transport at hypersurfaces of discontinuity is considered. Finally, the general local balance equations for continuum of arbitrary dimensions with discontinuities are derived. |
| URI: | https://bura.brunel.ac.uk/handle/2438/20934 |
| DOI: | https://doi.org/10.3390/math8060899 |
| Other Identifiers: | 899 |
| Appears in Collections: | Dept of Mechanical and Aerospace Engineering Research Papers |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| FullText.pdf | 522.89 kB | Adobe PDF | View/Open |
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