Calculus of Variations and Geometric Measure Theory
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S. Fanzon

Geometric Patterns and Microstructures in the study of Material Defects and Composites

created by fanzon on 01 Apr 2019

[BibTeX]

Phd Thesis

Inserted: 1 apr 2019
Last Updated: 1 apr 2019

Year: 2017

Abstract:

The main focus of this PhD thesis is the study of microstructures and geometric patterns in materials, in the framework of the Calculus of Variations. This thesis is divided into two main parts. In the first part we present the results obtained in 22, 23. In these two works geometric patterns have to be understood as patterns of dislocations in crystals. The second part is devoted to 21, where suitable microgeometries are needed as a mean to produce gradients that display critical integrability properties.


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