A total-variation surface energy model for thin films of martensitic crystals | Zendy

Pavel Bělı́k | Zendy; Mitchell Luskin | Zendy

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A total-variation surface energy model for thin films of martensitic crystals

Author(s) -

Pavel Bělı́k,

Mitchell Luskin

Publication year - 2002

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/53

Subject(s) - thin film , materials science , martensite , deformation (meteorology) , surface (topology) , variation (astronomy) , limit (mathematics) , diffusionless transformation , energy (signal processing) , surface energy , condensed matter physics , composite material , geometry , physics , mathematics , mathematical analysis , nanotechnology , microstructure , statistics , astrophysics

We rigorously derive a thin film limit for martensitic crystals that utilizes the total variation of the deformation gradient to model the energy on surfaces separating regions of different variants. We find that the deformation for an infinitesimally thin film minimizes a two-dimensional energy.

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