×

Vibration of two bonded composites: Effects of the interface and distinct periodic structures. (English) Zbl 1038.74564

Summary: Small elastic vibrations of two particulate composites that are caused by a non-plane time-harmonic wave are investigated. Effects of the adhesive interface and distinct periodic structures on the transmission and reflection of acoustic waves are rigorously analyzed. A two-scale asymptotic expansion with interfacial correctors is introduced to account for the macro- and micromechanical effects on wave propagation. An efficient algorithm is developed for computing first and second order corrections for the coefficients that depend on the composites microstructure and the interfacial constraint.

MSC:

74H45 Vibrations in dynamical problems in solid mechanics
74E30 Composite and mixture properties
PDFBibTeX XMLCite
Full Text: DOI