Resumen de Topological properties of mechanical metamaterials
Topological mechanics is a recent and intense area of research. It merges the knowledge of mathematical topology, electronic topology and topological defects with mechanical systems and phononic band structures.
Topology entered the field of condensed matter physics several decades ago through the study of topological defects of generic order parameters. The paradigmatic examples of these topological defects are solitons and vortices. However, it was the introduction of the concept of topological band theory that recently raised a major interest.
In this thesis, we strive to understand the basic ingredients for non-trivial topology in mechanical systems arising from both topological defects and band theory. As a result, new mechanical models have been proposed and analyzed theoretically.
