A Continuum Theory for Wave Propagation in Laminated Composites.
Abstract
A continuum theory is developed for wave propagation normal to the layers of a laminated composite with elastic, periodic microstructure. Construction is based upon an asymptotic scheme in which dominant signal wave lengths are assumed large compared to typical composite micro-dimensions. A hierarchy of models are defined by the order of truncation of the asymptotic sequence obtained. To estimate system accuracy, the phase velocity spectrum is investigated. Retention of all terms in the asymptotic sequence is found to yield the exact spectrum of Rytov. Based upon spectral collation of the lowest order dispersive model, accuracy superior to several existing theories is observed. In addition, treatment of several transient pulse cases show good correlation with exact data. Finally, the lowest order dispersive theory is case in a standard mixture form. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1971
- Accession Number
- AD0736879
Entities
People
- Adnan H. Nayfeh
- Gilbert A. Hegemier
Organizations
- University of California, San Diego