@Article{cmes.2011.076.217,
AUTHOR = {B.Y.  Tian, B.  Tie, D.  Aubry, X.Y.  Su},
TITLE = {Elastic Wave Propagation in Periodic Cellular Structures},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {76},
YEAR = {2011},
NUMBER = {3&4},
PAGES = {217--234},
URL = {http://www.techscience.com/CMES/v76n3&4/26823},
ISSN = {1526-1506},
ABSTRACT = {The present work is devoted to a theoretical analysis and numerical modeling of elastic wave propagation firstly in a one-dimensional periodic elastic rod structure and then in two-dimensional periodic elastic beam structures by using Bloch wave theorem. The dispersion relation between Bloch wave vectors and eigen frequencies is obtained and its dependency upon the micro-structural characteristics of the periodic cellular structure is analyzed. Thanks to the Bloch wave transforms, only the primitive cell is considered theoretically or numerically and the phenomena of frequency band-gaps and the diffracted waves caused by the periodic cells are modeled and analyzed.},
DOI = {10.3970/cmes.2011.076.217}
}