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http://bura.brunel.ac.uk/handle/2438/511
Title: | Lavrentiev Phenomenon in Microstructure Theory |
Authors: | Winter, M |
Keywords: | Calculus of variations, Singular perturbation;Lavrentiev phenomenon, martensitic phase transformation |
Issue Date: | 1996 |
Publisher: | Elsevier |
Citation: | Electronic Journal of Differential Equations 6 (1996), 1-12 |
Abstract: | A variational problem arising as a model in martensitic phase transformation including surface energy is studied. It explains the complex, multi-dimensional pattern of twin branching which is often observed in a martensitic phase near the austenite interface. We prove that a Lavrentiev phenomenon can occur if the domain is a rectangle. We show that this phenomenon disappears under arbitrarily small shears of the domain. We also prove that other perturbations of the problem lead to an extinction of the Lavrentiev phenomenon. |
URI: | http://bura.brunel.ac.uk/handle/2438/511 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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