Inserted: 1 apr 2019
Last Updated: 1 apr 2019
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.