Geometric patterns and microstructures in the study of material defects and composites

Fanzon, Silvio (2018) Geometric patterns and microstructures in the study of material defects and composites. Doctoral thesis (PhD), University of Sussex.

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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. My PhD research, carried out in collaboration with my supervisor Mariapia Palombaro and Marcello Ponsiglione, led to the production of three papers [21, 22, 23]. Papers [21, 22] have already been published, while [23] is currently in preparation.

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.

Item Type: Thesis (Doctoral)
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems > QA0303 Calculus > QA0315 Calculus of variations
Depositing User: Library Cataloguing
Date Deposited: 04 Jan 2018 10:39
Last Modified: 04 Jan 2018 10:39
URI: http://sro.sussex.ac.uk/id/eprint/72566

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