The deviation of linear periodic structures (imperfections) from the ideal has been observed to cause Anderson localization for which the energy is confined near the disorder and the dynamic behavior of the structure changes. This phenomenon has attracted much recent attention in many applications in physics because of its important role in the qualification as well as quantification of system operations. Particularly, in mechanical, civil and aerospace engineering, Mester and Benaroya addressed a large review for different methods of analysis of linear periodic and near-periodic structures. To our knowledge, the research of the "metamaterials" scientific community is mainly concerned by the passive and/or active functionalization of the periodicity and its impacts on structural damping and band-gap in vibroacoustic problems.

The objective of the PhD thesisis to develop innovative design of smart systems based on bi-periodic patterns by combining at two scales : (i) structure scale, near-periodicity which enables to confine the energy close to the imperfections (ii) interface scale, periodicity or structured interface which opens new capabilities in the design of filtering devices for elastic waves and may prelude the possibility of obtaining high-resolution focusing properties for elastodynamic waves (iii) distributed or localized nonlinearities allowing the creation of multimode solution branches to enlarge the frequency bandwidth and formation of solitons for energy transport improvement.

Start date : 01/10/2020 - Duration : 3 years