Computational modeling of microstructure
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2003
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| _version_ | 1866915560158134272 |
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| author | Luskin, Mitchell |
| author_facet | Luskin, Mitchell |
| contents | Many materials such as martensitic or ferromagnetic crystals are observed to be in metastable states exhibiting a fine-scale, structured spatial oscillation called microstructure; and hysteresis is observed as the temperature, boundary forces, or external magnetic field changes. We have developed a numerical analysis of microstructure and used this theory to construct numerical methods that have been used to compute approximations to the deformation of crystals with microstructure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0305005 |
| institution | arXiv |
| publishDate | 2003 |
| record_format | arxiv |
| spellingShingle | Computational modeling of microstructure Luskin, Mitchell Numerical Analysis 49J45, 65N15, 65N30, 74N10, 74N15, 74N30 Many materials such as martensitic or ferromagnetic crystals are observed to be in metastable states exhibiting a fine-scale, structured spatial oscillation called microstructure; and hysteresis is observed as the temperature, boundary forces, or external magnetic field changes. We have developed a numerical analysis of microstructure and used this theory to construct numerical methods that have been used to compute approximations to the deformation of crystals with microstructure. |
| title | Computational modeling of microstructure |
| topic | Numerical Analysis 49J45, 65N15, 65N30, 74N10, 74N15, 74N30 |
| url | https://arxiv.org/abs/math/0305005 |