\شماره٪٪۱
Woods, R.D. ``Screening of surface wave in soils'', {\it Journal of
The Soil Mechanics and Foundations Division}, {\bf 94}(4), pp. 951-979
(1968).
\شماره٪٪۲
May, T.W. and Bolt, B.A. ``The effectiveness of trenches in
reducing seismic motion'', {\it Earthquake Engineering} \& {\it Structural
Dynamics}, {\bf 10}(2), pp. 195-210 (1982).
\شماره٪٪۳
Pu, X. and Shi, Z. ``Surface-wave attenuation by periodic pile
barriers in layered soils'', {\it Construction and Building Materials},
{\bf 180},
pp. 177-187 (2018).
\شماره٪٪۴
Huang, J. and Shi, Z. ``Attenuation zones of periodic pile
barriers and its application in vibration reduction for plane
waves'', {\it Journal of Sound and Vibration}, {\bf 332}(19), pp. 4423-4439
(2013).
\شماره٪٪۵
Dertimanis, V.K., Antoniadis, I.A. and Chatzi, E.N. ``Feasibility
analysis on the attenuation of strong ground motions using finite
periodic lattices of mass-in-mass barriers'', {\it Journal of Engineering
Mechanics}, {\bf 142}(9), pp. 04016060 (2016).
\شماره٪٪۶
Pu, X. and Shi, Z. ``A novel method for identifying surface
waves in periodic structures'',
{\it Soil Dynamics and Earthquake Engineering}, {\bf 98},
pp. 67-71 (2017).
\شماره٪٪۷
Miniaci, M., Krushynska, A., Bosia F. and et al. ``Large
scale mechanical metamaterials as seismic shields'', {\it New Journal
of Physics}, {\bf 18}(8), pp. 083041 (2016).
\شماره٪٪۸
Du, Q., Zeng, Y., Huang, G, and et al. ``Elastic metamaterial-based
seismic shield for both Lamb and surface waves'', {\it AIP Advances}, {\bf
7}(7),
pp. 075015 (2017).
\شماره٪٪۹
Palermo, A., Krodel, S., Marzani, A. and et al.
``Engineered
metabarrier as shield from seismic surface waves'', {\it Scientific
Reports}, {\bf 6}(1), pp. 1-10 (2016).
\شماره٪٪۱۰
Muhammad, Lim, C. and Reddy, J. ``Built-up structural steel
sections as seismic metamaterials for surface wave attenuation
with low frequency wide bandgap in layered soil medium'', {\it Engineering
Structures}, {\bf 188}, pp. 440-451 (2019).
\شماره٪٪۱۱
11. Liu, Y.-f., Huang, J.-K., Li, Y.G. and et al. ``Trees
as large-scale natural metamaterials for low-frequency vibration
reduction'', {\it Construction and Building Materials}, {\bf 199}, pp. 737-745
(2019).
\شماره٪٪۱۲
Graczykowski, B., Alzina, F., Gomis-Bresco, J. and et al.
``Finite element analysis of true and pseudo surface
acoustic waves in one-dimensional phononic crystals'', {\it Journal
of Applied Physics}, {\bf 119}(2), pp. 025308 (2016).
\شماره٪٪۱۳
Liu, Z., Dong, H.-W. and Yu, G.-L. ``Topology optimization
of periodic barriers for surface waves'', {\it Structural and Multidisciplinary
Optimization}, {\bf 63}(1), pp. 463-478 (2021).
\شماره٪٪۱۴
Muzar, E. and Stotz, J.A. ``Surface acoustic wave modes in
two-dimensional shallow void inclusion phononic crystals on GaAs'', {\it
Journal
of Applied Physics}, {\bf 126}(2), pp. 025104 (2019).
\شماره٪٪۱۵
Westafer, R.S., Mohammadi, S., Adibi, A. and et al. ``Computing
surface acoustic wave dispersion and band gaps'', {\it in Excerpt from
the Proceedings of the COMSOL Conference} (2009).
\شماره٪٪۱۶
Benchabane, S., Khelif, A., Rauch, J.-Y. and et al
``Evidence for complete surface wave band gap in a piezoelectric
phononic crystal``, {\it Physical Review E}, {\bf 73}(6), pp. 065601 (2006).
\شماره٪٪۱۷
Khelif, A., Achaoui, Y., Benchabane, S. and et al.
``Locally resonant surface acoustic wave band gaps in a two-dimensional
phononic crystal of pillars on a surface'', {\it Physical Review B},
{\bf 81}(21),
pp. 214303 (2010).
\شماره٪٪۱۸
Kittel, C. ``Introduction to solid state physics'', {\it American
Journal of Physics}, {\bf 35}(6), pp. 547-548 (1967).
\شماره٪٪۱۹
Cheng, Z. and Shi, Z. ``Composite periodic foundation and
its application for seismic isolation'', {\it Earthquake Engineering}
\& {\it Structural Dynamics}, {\bf 47}(4), pp. 925-944 (2018).