Nonlinear waves in heterogeneous elastic rods via homogenization

We consider the propagation of a planar loop on a heterogeneous elastic rod with a periodic microstructure consisting of two alternating homogeneous regions with different material properties. The analysis is carried out using a second-order homogenization theory based on a multiple scale asymptotic...

Ausführliche Beschreibung

Bibliographische Detailangaben
Hauptverfasser: Quezada de Luna, M, Đuričković, B, Goriely, A
Format: Journal article
Veröffentlicht: 2011
Beschreibung
Zusammenfassung:We consider the propagation of a planar loop on a heterogeneous elastic rod with a periodic microstructure consisting of two alternating homogeneous regions with different material properties. The analysis is carried out using a second-order homogenization theory based on a multiple scale asymptotic expansion.