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Microstructure

  • Filip RindlerEmail author
Chapter
  • 3.2k Downloads
Part of the Universitext book series (UTX)

Abstract

Motivated by the example on crystal microstructure in Section  1.8 and the remarks in Section  8.3 about the connection of the quasiconvex hull to the relaxation of integral functionals, in this chapter we continue our analysis of the differential inclusion
$$\begin{aligned} \left\{ \begin{aligned}&u \in \mathrm {W}^{1,\infty }(\varOmega ;\mathbb {R}^m), \quad u|_{\partial \varOmega } = Fx,\\&\nabla u \in K \quad \text {in}\, \varOmega . \end{aligned}\right. \end{aligned}$$

Keywords

Quasiconvex Hull Crystal Microstructure Differential Inclusions Convex Integration Piecewise Affine 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Mathematics InstituteUniversity of WarwickCoventryUK

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