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• W2997017875 abstract "We study convex integration solutions in the context of the modelling of shape-memory alloys. The purpose of the article is two-fold, treating both rigidity and flexibility properties: Firstly, we relate the maximal regularity of convex integration solutions to the presence of lower bounds in variational models with surface energy. Hence, variational models with surface energy could be viewed as a selection mechanism allowing for or excluding convex integration solutions. Secondly, we present the first numerical implementations of convex integration schemes for the model problem of the geometrically linearised two-dimensional hexagonal-to-rhombic phase transformation. We discuss and compare the two algorithms from [RZZ16] and [RZZ17]." @default.
• W2997017875 created "2020-01-10" @default.
• W2997017875 creator A5002484062 @default.
• W2997017875 creator A5026729456 @default.
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• W2997017875 date "2019-03-30" @default.
• W2997017875 modified "2023-10-13" @default.
• W2997017875 title "Convex Integration Arising in the Modelling of Shape-Memory Alloys: Some Remarks on Rigidity, Flexibility and Some Numerical Implementations" @default.
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• W2997017875 doi "https://doi.org/10.1007/s00332-019-09540-9" @default.
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