Phase-field models for thin elastic structures : Willmore's energy and topological constraints

In this dissertation, I develop a phase-field approach to minimising a geometric energy functional in the class of connected structures confined to a small container. The functional under consideration is Willmore's energy, which depends on the mean curvature and area measure of a surface and t...

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Bibliographic Details
Main Author: Wojtowytsch, Stephan Jan
Published: Durham University 2017
Subjects:
515
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.721010