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Full metadata record
DC Field | Value | Language |
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dc.contributor.author | Winter, M | - |
dc.coverage.spatial | 30 | en |
dc.date.accessioned | 2007-01-15T12:15:30Z | - |
dc.date.available | 2007-01-15T12:15:30Z | - |
dc.date.issued | 1997 | - |
dc.identifier.citation | European J Appl Math 8 (1997), 185-207 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/512 | - |
dc.description.abstract | This paper studies a vectorial problem in the calculus of variations arising in the theory of martensitic microstructure. The functional has an integral representation where the integrand is a nonconvex function of the gradient with exactly four minima. We prove that the Young measure corresponding to a minimising sequence is homogeneous and unique for certain linear boundary conditions. We also consider the singular perturbation of the problem by higher-order gradients. We study an example of microstructure involving infinite sequential lamination and calculate its energy and length scales in the zero limit of the perturbation. | en |
dc.format.extent | 201240 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Cambridge University Press | en |
dc.subject | Calculus of variations, Singular perturbation | en |
dc.subject | Young measure, martensitic phase transformation | en |
dc.title | An Example of Microstructure with Multiple Scales | en |
dc.type | Research Paper | en |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
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4-matrixoo.pdf | 196.52 kB | Adobe PDF | View/Open |
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