TY - EJOU AU - Tian, B.Y. AU - Tie, B. AU - Aubry, D. AU - Su, X.Y. TI - Elastic Wave Propagation in Periodic Cellular Structures T2 - Computer Modeling in Engineering \& Sciences PY - 2011 VL - 76 IS - 3&4 SN - 1526-1506 AB - 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. KW - Periodic cellular structure KW - Bloch wave theorem KW - frequency band-gap KW - diffracted waves DO - 10.3970/cmes.2011.076.217