Material Geometry of Binary Composites
The constitutive characterization of the uniformity and homogeneity of binary elastic composites is presented in terms of a combination of the material groupoids of the individual constituents. The incorporation of these two groupoids within a single double groupoid is proposed as a viable mathemati...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-05-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/5/892 |
| _version_ | 1797533663054790656 |
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| author | Marcelo Epstein |
| author_facet | Marcelo Epstein |
| author_sort | Marcelo Epstein |
| collection | DOAJ |
| description | The constitutive characterization of the uniformity and homogeneity of binary elastic composites is presented in terms of a combination of the material groupoids of the individual constituents. The incorporation of these two groupoids within a single double groupoid is proposed as a viable mathematical framework for a unified formulation of this and similar kinds of problems in continuum mechanics. |
| first_indexed | 2024-03-10T11:18:48Z |
| format | Article |
| id | doaj.art-1f8a56086cb24d9bb4d2a44eb113399a |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T11:18:48Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-1f8a56086cb24d9bb4d2a44eb113399a2023-11-21T20:11:16ZengMDPI AGSymmetry2073-89942021-05-0113589210.3390/sym13050892Material Geometry of Binary CompositesMarcelo Epstein0Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, AB T2N1N4, CanadaThe constitutive characterization of the uniformity and homogeneity of binary elastic composites is presented in terms of a combination of the material groupoids of the individual constituents. The incorporation of these two groupoids within a single double groupoid is proposed as a viable mathematical framework for a unified formulation of this and similar kinds of problems in continuum mechanics.https://www.mdpi.com/2073-8994/13/5/892double groupoidselasticitydifferential geometrydislocationsmixtures |
| spellingShingle | Marcelo Epstein Material Geometry of Binary Composites Symmetry double groupoids elasticity differential geometry dislocations mixtures |
| title | Material Geometry of Binary Composites |
| title_full | Material Geometry of Binary Composites |
| title_fullStr | Material Geometry of Binary Composites |
| title_full_unstemmed | Material Geometry of Binary Composites |
| title_short | Material Geometry of Binary Composites |
| title_sort | material geometry of binary composites |
| topic | double groupoids elasticity differential geometry dislocations mixtures |
| url | https://www.mdpi.com/2073-8994/13/5/892 |
| work_keys_str_mv | AT marceloepstein materialgeometryofbinarycomposites |