@Article{IJNAMB-2-298,
author = {XIUHUI HOU, ZICHEN DENG, AND JIAXI ZHOU},
title = { Symplectic Analysis for the Wave Propagation Properties of Conventional and Auxetic Cellular Struct},
journal = {International Journal of Numerical Analysis Modeling Series B},
year = {2011},
volume = {2},
number = {4},
pages = {298--314},
abstract = {Based on the structure-preserving characteristics of the symplectic algorithm, the wave propagation problem of auxetic cellular structures is analyzed and compared with conventional
cellular materials. The dispersion relations along the first Brillouin zone boundary and the contour
plots of phase constant surfaces are obtained using the finite element method. Numerical results
reveal the superiority of auxetic re-entrant honeycombs in sound reduction applications compared
with conventional hexagon lattices. Band structures of the chiral honeycomb are developed to
illustrate the unique feature of the symplectic algorithm at higher frequencies calculation. The
highly-directional wave propagation properties of auxetic cellular structures are also analyzed,
which will provide invaluable guidelines for the future application of auxetic cellular structures in
sound insulation.},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnamb/314.html}
}