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Elastic Wave Propagation in Periodic Cellular Structures

B.Y. Tian1, B. Tie1, D. Aubry1, X.Y. Su2

Laboratory MSSMat, Ecole Centrale Paris, CNRS (UMR 8579), France.
LTCS and Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, China

Computer Modeling in Engineering & Sciences 2011, 76(3&4), 217-234.


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.


Cite This Article

Tian, B., Tie, B., Aubry, D., Su, X. (2011). Elastic Wave Propagation in Periodic Cellular Structures. CMES-Computer Modeling in Engineering & Sciences, 76(3&4), 217–234.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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