Multi-displacement continuum model for discrete systems
Journal
International Journal of Mechanical Sciences
Journal Volume
52
Journal Issue
12
Pages
1767-1771
Date Issued
2010
Author(s)
Abstract
A first-order multi-displacement microstructure continuum model is introduced to represent a discrete diatomic lattice system. This model is developed based on a two-term Taylor series expansion of the local displacement of the lattice. It is found that the multi-displacement continuum model obtained by keeping two terms in the Taylor series yields, in general, a better representation of the lattice system than the effective modulus model. However, this microstructure continuum model cannot characterize the negative group velocity of an optical mode of harmonic wave motion in the diatomic lattice. To capture the negative group velocity, a higher-order multi-displacement continuum model is necessary. © 2010 Elsevier Ltd. All rights reserved.
SDGs
Type
journal article