A sharp interface evolutionary model for shape memory alloys
We show the existence of an energetic solution to a quasistatic evolutionary model of shape memory alloys. Elastic behavior of each material phase/variant is described by polyconvex energy density. Additionally, to every phase boundary, there is an interface-polyconvex energy assigned, introduced by...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2016
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| In: |
ZAMM
Year: 2016, Volume: 96, Issue: 11, Pages: 1347-1355 |
| ISSN: | 1521-4001 |
| DOI: | 10.1002/zamm.201500209 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1002/zamm.201500209 Verlag, Volltext: https://onlinelibrary.wiley.com/doi/abs/10.1002/zamm.201500209 
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| Author Notes: | Hans Knüpfer and Martin Kružík |
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| 520 | |a We show the existence of an energetic solution to a quasistatic evolutionary model of shape memory alloys. Elastic behavior of each material phase/variant is described by polyconvex energy density. Additionally, to every phase boundary, there is an interface-polyconvex energy assigned, introduced by M. Šilhavý in [49]. The model considers internal variables describing the evolving spatial arrangement of the material phases and a deformation mapping with its first-order gradients. It allows for injectivity and orientation-preservation of deformations. Moreover, the resulting material microstructures have finite length scales. | ||
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| 650 | 4 | |a rate-independent problems | |
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