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Minimizers with topological singularities in two dimensional elasticity

Bevan, J and Yan, X (2008) Minimizers with topological singularities in two dimensional elasticity ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 14 (1). 192 - 209. ISSN 1262-3377

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Abstract

For a class of 2-D elastic energies we show that a radial equilibrium solution is the unique global minimizer in a subclass of all admissible maps. The boundary constraint is a double cover of S1; the minimizer u is C1 and is such that det∇u vanishes at one point.

Item Type: Article
Uncontrolled Keywords: Science & Technology, Technology, Physical Sciences, Automation & Control Systems, Mathematics, Applied, Mathematics, nonlinear elasticity, singular minimizer, stability, NONLINEAR ELASTICITY, EQUILIBRIUM SOLUTIONS, VARIATIONAL-PROBLEMS, STABILITY, CALCULUS, QUASICONVEXITY, DEFORMATIONS, CAVITATION, UNIQUENESS, ENERGY
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Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:40
Last Modified: 23 Sep 2013 18:32
URI: http://epubs.surrey.ac.uk/id/eprint/1406

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