Title	Linearization for solid-solid phase transitions
Creator	Davoli, Elisa
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-05-22T09:35
Description	In this talk we will establish a quantitative rigidity estimate for two-well nonlinear elastic energies, in the case in which the two wells have exactly one rank-one connection, and we will analyze linearization around a laminate in the setting of two-dimensional solid-solid phase transition. In particular, we will identify by Gamma-convergence an effective limiting model. This limiting description will be given by the sum of a quadratic linearized elastic energy with two surface terms, corresponding to the total length of interfaces created by jumps of the deformation gradient and of the displacement field, respectively. This is joint work with Manuel Friedrich.
Extent	27.0
Subject	Mathematics; Calculus of variations and optimal control; optimization; Partial differential equations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Universität Wien
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-21
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377247
URI	http://hdl.handle.net/2429/69007
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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