\شماره٪٪۱
Bouchon, M. ``Effect of topography on surface motion'', {\it Bull.
Seism. Soc. Am}, {\bf 63}(3), pp. 715-732 (1973).
\شماره٪٪۲
Sanchez-Sesma, FJ. ``Site effects on strong ground
motion'', {\it Soil Dyn Earthq Eng},
{\bf 6}(2), pp. 124-132 (1987).
\شماره٪٪۳
Davis, L.L. and West, L.R. ``Observed effects of topography
on ground motion'', {\it Bull. Seism. Soc. Am},
{\bf 63}(1), pp. 283-298 (1973).
\شماره٪٪۴
Bard, P.Y. and Bouchon, M. ``The seismic response of sediment-filled
valleys, Part 2: The case of incident P and SV-waves'', {\it Bull.
Seism. Soc. Am}, {\bf 70}(5), pp. 1921-1941 (1980).
\شماره٪٪۵
Manoogian, M.E. and Lee, V.W. ``Antiplane deformations near
arbitrary-shape alluvial valleys'', {\it ISET J. Earthq. Tech}, {\bf 36}(2),
pp. 107-120 (1999).
\شماره٪٪۶
Sanchez-Sesma, FJ, Palencia, VJ, Luzon, F. and et al.
``Estimation
of local site effects during earthquakes: An overview'', {\it ISET J of
Earthq Tech}, {\bf 39}(3), pp. 167-193 (2002).
\شماره٪٪۷
Trifunac, M.D. ``Surface motion of a semi-cylindrical alluvial
valley for incident plane SH-waves'', {\it Bull. Seism. Soc. Am}, {\bf 61}(6),
pp. 1755-1770 (1971).
\شماره٪٪۸
Trifunac, M.D. ``Scattering of plane SH-waves by a semi-cylindrical
canyon'', {\it Earthq. Eng. Struct. Dyn}, {\bf 1}(3), pp. 267-281 (1973).
\شماره٪٪۹
Wong, H.L. and Trifunac, M.D. ``Surface motion of a semi-elliptical
alluvial valley for incident plane SH-waves'', {\it Bull. Seism. Soc.
Am}, {\bf 64}(5), pp. 1389-1408 (1974a).
\شماره٪٪۱۰
Wong, H.L. and Trifunac, M.D. ``Scattering of plane SH-waves
by a semi-elliptical canyon'', {\it Earthq. Eng. Struct. Dyn}, {\bf 3}(2),
pp. 157-169 (1974b).
\شماره٪٪۱۱
Lee, V.W. ``Three-dimensional diffraction of plane P, SV \&
SH-waves by a hemispherical alluvial valley'', {\it Int. J. Soil Dyn.
Earthq. Eng}, {\bf 3}(3), pp. 199-144 (1984).
\شماره٪٪۱۲
Todorovska, M.I. and Lee, V.W. ``Surface motion of shallow
circular alluvial valleys for incident plane SH-waves (Analytical
solution)'', {\it Soil Dyn. Earthq. Eng}, {\bf 10}(4), pp. 192-200 (1991).
\شماره٪٪۱۳
Yuan, X. and Liao, Z. ``Scattering of plane SH-waves by a
cylindrical alluvial valley of circular-arc cross-section'', {\it Earthq.
Eng. Struct. Dyn}, {\bf 24}(10), pp. 1303-1313 (1995).
\شماره٪٪۱۴
Sherif, R.I. and Lee, V.W. ``Diffraction around a circular
alluvial valley in an elastic wedge-shaped medium due to Plane
SH-waves'', {\it Europ. Earthq. Eng}, {\bf 3}, pp. 21-28 (1996).
\شماره٪٪۱۵
Tsaur, D.H. and Chang, K.H. ``SH-waves scattering from a partially
filled semi-circular alluvial valley'', {\it Geophys. J. Int}, {\bf 173}(1),
pp. 157-167 (2008).
\شماره٪٪۱۶
Tsaur, D.H. and Chang, K.H. ``Scattering of SH-waves by truncated
semi-cylindrical canyon'', {\it J. Eng. Mech, ASCE}, {\bf 135}, pp. 862-870
(2009).
\شماره٪٪۱۷
Zhang, N., Gao, Y., Cai, Y. and et al. ``Scattering
of SH-waves induced by a non-symmetrical V-shaped canyon'', {\it Geophys.
J. Int}, {\bf 191}(1), pp. 243-256 (2012).
\شماره٪٪۱۸
Chang, K.H., Tsaur, D.H. and Wang, J.H. ``Scattering of SH-waves
by a circular sectorial canyon'', {\it Geophys. J.
Int}, {\bf 195}, pp. 532-543
(2013).
\شماره٪٪۱۹
Chang, K.H., Tsaur, D.H. and Wang, J.H. ``Response of a shallow
asymmetric V-shaped canyon to anti-plane elastic waves'', {\it Proc.
Math. Phys. Eng. Sci}, {\bf 471}(2174), 20140215 (2015).
\شماره٪٪۲۰
Faik-Kara, H. and Trifunac, M.D. ``A note on plane-wave approximation'',
{\it Soil
Dyn. Earthq. Eng}, {\bf 51}, pp. 9-13 (2013).
\شماره٪٪۲۱
Faik-Kara, H. and Trifunac, M.D. ``Two-dimensional earthquake
vibrations in sedimentary basins, SH-waves'', {\it Soil Dyn. Earthq.
Eng}, {\bf 63}, pp. 69-82 (2014).
\شماره٪٪۲۲
Jalali, R.S., Tokmechi, Z. and Trifunac, M.D. ``A note on
the surface motion of a semi-cylindrical alluvial valley for
incident-cylindrical SH-waves radiating from a fault with arbitrary
orientation'', {\it Soil Dyn. Earthq. Eng}, {\bf
79}(Part A), pp. 80-88 (2015).
\شماره٪٪۲۳
Zhang, N., Gao, Y. and Pak, R.Y.S. ``Soil and topographic
effects on ground motion of a surficially inhomogeneous semi-cylindrical
canyon under oblique incident SH-waves'', {\it Soil Dyn. Earthq. Eng}, {\bf
95},
pp. 17-28 (2017).
\شماره٪٪۲۴
Le, T., Lee, V.W. and Trifunac, M.D. ``SH-waves in a moon-shaped
valley'', {\it Soil Dyn. Earthq. Eng}, {\bf 101}, pp. 162-175 (2017).
\شماره٪٪۲۵
Tsaur, D.H. and Chang, K.H. ``Exact solution to scattering
of SH-waves by an elliptic-arc canyon in the corner of an elastic
quarter space'', {\it Soil Dyn. Earthq. Eng}, {\bf 110}, pp. 137-140 (2018).
\شماره٪۲۶
Faik-Kara, H. ``Dynamic response of an alluvial valley consists
of three types of soil'', {\it Earthq. Eng. and Eng Vib}, {\bf 19}, pp. 289-305
(2020).
\شماره٪٪۲۷
Chang, K., Wang, W. and Hsu, S. ``Antiplane response of a
flat-bottomed semicircular canyon to cylindrical elastic waves'', {\it J.
Eng. Math}, {\bf 121}, pp. 125-139 (2020).
\شماره٪٪۲۸
Sanchez-Sesma, FJ, Rosenblueth, E. ``Ground motions at
canyons of arbitrary shapes under incident SH-waves'',
{\it Earthq Eng Struct Dyn},
{\bf 7}, pp. 441-450 (1979).
\شماره٪٪۲۹
Lysmer, J. and Drake, L.A., {\it A Finite Element Method for Seismology,
Method Comp Phys}, Ed: Bolt, B.A., Academic Press, New York, 11,
pp. 181-216 (1972).
\شماره٪٪۳۰
Smith, W.D. ``The application of finite element analysis to
body wave propagation problems'', {\it Geophys. J. Royal Astronom.
Soc}, {\bf 42}(2), pp. 747-768 (1975).
\شماره٪٪۳۱
Kawase, H. and Sato, T. ``Simulation analysis of strong motions
in the Ashigara valley considering one and two-dimensional geological
structures'', {\it J. Phys. Earth}, {\bf 40}(1), pp. 27-56 (1992).
\شماره٪٪۳۲
Bielak, J., Xu, J. and Ghattas, O. ``Earthquake ground motion
and structural response in alluvial valleys'', {\it J. Geotech. Geoenviron.
Eng., ASCE}, {\bf 125}(5), pp. 413-423 (1999).
\شماره٪٪۳۳
Shyu, W.S. and Teng, T.J. ``Hybrid method combines transfinite
interpolation with series expansion to simulate the anti-plane
response of a surface irregularity'', {\it J. Mech.}, {\bf 30}(4), pp. 349-360
(2014).
\شماره٪٪۳۴
Shyu, W.S., Teng, T.J. and Chou, C.S. ``Anti-plane response
induced by an irregular alluvial valley using a hybrid method
with modified transfinite interpolation'', {\it Soil Dyn. Earthq. Eng},
{\bf 90},
pp. 250-264 (2016).
\شماره٪٪۳۵
Nohegoo-Shahvari, A., Kamalian, M. and Panji, M. ``Two-dimensional
dynamic analysis of alluvial valleys subjected to vertically
propagating incident SH-waves,, {\it Int. J. Civ. Eng}, {\bf 17}(6),
pp.823-839 (2018).
\شماره٪٪۳۶
Nohegoo-Shahvari, A., Kamalian, M. and Panji, M. ``A hybrid
time-domain half-plane FE/BE approach for SH-wave scattering
of alluvial sites'', {\it Eng. Analy. BE}, {\bf 105}, pp. 194-206 (2019).
\شماره٪٪۳۷
Frankel, A. and Vidale, J. ``A Three-dimensional simulation
of seismic waves in the santa clara valley, California, from
a loma prieta aftershock'', {\it Bull. Seism. Soc. Am},
{\bf 82}(5), pp. 2045-2074
(1992).
\شماره٪٪۳۸
Moczo, P. and Bard, P.Y. ``Wave diffraction, amplification
and differential motion near strong lateral discontinuities'', {\it Bull.
Seism. Soc. Am}, {\bf 83}(1), pp. 85-106 (1993).
\شماره٪٪۳۹
Zhou, H. and Chen, X.F. ``A new approach to simulate scattering
of SH-waves by an irregular topography'', {\it Geophys, J. Int}, {\bf 164}(2),
pp. 449-459 (2006).
\شماره٪٪۴۰
Wang, L., Xu, Y., Xia, J. and et al. ``Effect of near-surface
topography on high-frequency Rayleigh-wave propagation'', {\it J. Appl.
Geophys}, {\bf 116}, pp. 93-103 (2015).
\شماره٪٪۴۱
Zhu, C. and Thambiratnam, D. ``Interaction of geometry and
mechanical property of trapezoidal sedimentary basins with incident
SH-waves'', {\it Bull. Earthq. Eng}, {\bf 14}, pp. 2977-3002 (2016).
\شماره٪٪۴۲
Zhu, C., Thambiratnam, D. and Gallage, C. ``Inherent characteristics
of 2D alluvial formations subjected to in-plane motion'', {\it J. Earthq.
Eng}, {\bf 23}(9), pp. 1512-1530 (2019).
\شماره٪٪۴۳
Kamalian, M., Jafari, M.K., Sohrabi-Bidar, A. and et al.
``Time-domain two-dimensional site response
analysis of non-homogeneous topographic structures by a hybrid
FE/BE method'', {\it Soil Dyn. Earthq. Eng}, {\bf 26}(8), pp. 753-765 (2006).
\شماره٪٪۴۴
Kamalian, M., Gatmiri, B., Sohrabi-Bidar, A. and et al.
``Amplification pattern of 2D semi-sine shaped valleys subjected
to vertically propagating incident waves'', {\it Commun. Numer. Methods
Eng}, {\bf 23}(10), pp. 871-887 (2007).
\شماره٪٪۴۵
Panji, M., Kamalian, M., Asgari Marnani, J. and et al. ``A
Literature review of seismic analysis of topographic features
subjected to incident H-waves'', {\it Bull. Earthq. Sci. Eng}, {\bf 15},
pp. 21-35 (In Persian) (2012).
\شماره٪٪۴۶
Reinoso, E., Wrobel, L.C. and Power, H. ``Preliminary results
of the modeling of the Mexico City valley with a two-dimensional
boundary element method for the scattering of SH-waves'', {\it Soil
Dyn. Earthq. Eng}, {\bf 12}(8), pp. 457-468 (1993).
\شماره٪٪۴۷
Fishman, K.L. and Ahmad, S. ``Seismic response for alluvial
valleys subjected to SH, P and SV-waves'', {\it Soil Dyn. Earthq. Eng},
{\bf 14}(4),
pp. 249-258 (1995).
\شماره٪٪۴۸
Sanchez-Sesma, FJ, Luzon, F. ``Seismic response of
three-dimensional alluvial valleys for incident P, S and
Rayleigh-waves'', {\it Bull Seism Soc Am}, {\bf 85}(1), pp. 269-284 (1995)
\شماره٪٪۴۹
Ausilio, E., Conte, E. and Dente, G. ``Seismic response of
alluvial valleys to SH-waves'', {\it
In: Seism. Eng. Conf. AIP Conf.Proc}, 1020,
pp. 199-206 (2008).
\شماره٪٪۵۰
Ba, Z. and Yin, X. ``Wave scattering of complex local site
in a layered half-space by using a multidomain IBEM: Incident
plane SH-waves'', {\it Geophys. J. Int}, {\bf 205}(3), pp. 1382-1405 (2016).
\شماره٪٪۵۱
Liu, Z.X., Liang, J.W., Huang, Y.H. and et al. ``IBIEM modelling
of the amplification of seismic waves by a three-dimensional
layered alluvial basin'', {\it Geophys. J. Int}, {\bf 204}(2), pp. 999-1023
(2016).
\شماره٪٪۵۲
Liu, Z.X., Wang, D., Liang, J.W. and et al. ``The
fast multi-pole indirect BEM for solving high-frequency seismic
wave scattering by three-dimensional superficial irregularities'', {\it Eng.
Analy. BE}, {\bf 90}, pp. 86-99 (2018).
\شماره٪٪۵۳
Ba, Z., Wang, Y., Liang, J. and et al. ``Wave scattering
of plane P, SV, SH-waves by a 3D alluvial basin in a multilayered
half-space'', {\it Bull. Seismol. Soc. Am}, {\bf 110}(2), pp. 576-595 (2020).
\شماره٪٪۵۴
Panji, M., Kamalian, M., Asgari Marnani, J. and et al. ``Transient
analysis of wave propagation problems by half-plane BEM'', {\it Geophys.
J. Int}, {\bf 194}(3), pp. 1849-1865 (2013a).
\شماره٪٪۵۵
Panji, M., Kamalian, M., Asgari Marnani, J. and et al. ``Amplification
pattern of semi-sine shaped valleys subjected to vertically propagating
incident SH-waves'', {\it Comp. Meth. in Eng}, Isfahan, {\bf 32}(2), pp. 87-111
(In Persian) (2013b).
\شماره٪٪۵۶
Panji, M., Kamalian, M., Asgari Marnani, J. and et al. ``Antiplane
seismic response from semi-sine shaped valley above embedded
truncated circular cavity: A time-domain half-plane BEM'', {\it Int.
J. Civil Eng}, {\bf 12}(2 and B), pp. 160-173 (2014).
\شماره٪٪۵۷
Panji, M. and Mojtabazadeh-Hasanlouei, S. ``Transient response
of irregular surface by periodically distributed semi-sine shaped
valleys: Incident SH-waves'', {\it J. of Earthq. and Tsu}, {\bf
14}(1) (2019).
\شماره٪٪۵۸
Panji, M. and Mojtabazadeh-Hasanlouei, S. ``Surface motion
of alluvial valleys subjected to obliquely incident plane SH-wave
propagation'', {\it J. Earthq. Eng} (2020).
doi::10.1080/13632469.2021.1927886.
\شماره٪٪۵۹
Lubich, C. ``Convolution quadrature and discretized operational
calculus'', {\it I. Numerische Mathematik}, {\bf 52}(2), pp. 129-145 (1988).
\شماره٪٪۶۰
Garcia-Sanchez, F. and Zhang, C. ``A comparative study of
three BEM for transient dynamic crack analysis of 2-D anisotropic
solids'', {\it Comp. Mech}, {\bf 40}(4), pp. 753-769 (2007).
\شماره٪٪۶۱
Manolis, G.D., Dineva, P.S., Rangelov, T.V. and et al. ``Seismic
wave propagation in non-homogeneous elastic media by boundary
elements'', {\it Springer: Series, Sol. Mech. Applic},
{\bf 240}, p. 294 (2017).
\شماره٪٪۶۲
Ohtsu, M. and Uesugi, S. ``Analysis of SH-wave scattering
in a half space and its applications to seismic responses of
geological structures'', {\it Eng Analy}, {\bf 2}(4), pp. 198-204 (1985).
\شماره٪٪۶۳
Ricker, N. ``The form and laws of propagation of seismic
wavelet'', {\it Geophys}, {\bf 18}(1), pp. 10-40 (1953).
\شماره٪٪۶۴
Eringen, A.C. and Suhubi, E.S., {\it Elastodynamics}, Academic
Press (1975).
\شماره٪٪۶۵
Brebbia, C.A. and Dominguez, J. ``Boundary elements, an Introductory
course'', Comp. Mech. Pub., Southampton, Boston (1989).
\شماره٪٪۶۶
Dominguez, J. ``Boundary elements in dynamics'', Comp. Mech.
Pub., Southampton, Boston (1993).
\شماره٪٪۶۷
Panji, M. Mojtabazadeh-Hasanlouei, S. and Yasemi, F. ``A half-plane
time-domain BEM for SH-wave scattering by a subsurface inclusion'',
{\it Comp. Geosci}, {\bf 134}, 104342 (2020).