2020
DOI: 10.1002/nag.3066
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Analytical solution for longitudinal seismic response of long tunnels subjected to Rayleigh waves

Abstract: The longitudinal seismic response of a long tunnel subjected to Rayleigh waves is investigated in this paper. The tunnel is assumed to be infinitely long, has a uniform cross section, and rests on a viscoelastic foundation. The free-field deformation under Rayleigh waves traveling parallel to the tunnel axis is decomposed into two directions, namely, the axial motion and the vertical motion, and transformed into dynamic loads imposed on the tunnel. Based on the Fourier and Laplace integral transform techniques… Show more

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Cited by 32 publications
(3 citation statements)
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“…Wave propagating through the medium is considered to propagate along x − axis with temporal time t. The amplitude of the wave varies exponentially along the z − axis with field variables converging to zero as z → ∞ . The solution of the Rayleigh wave can be represented as [41]:…”
Section: Solution Of the Problemmentioning
confidence: 99%
“…Wave propagating through the medium is considered to propagate along x − axis with temporal time t. The amplitude of the wave varies exponentially along the z − axis with field variables converging to zero as z → ∞ . The solution of the Rayleigh wave can be represented as [41]:…”
Section: Solution Of the Problemmentioning
confidence: 99%
“…When the yield limit is exceeded, the material will undergo an irrecoverable plastic deformation, and it reaches the maximum when the material is almost destroyed, which means that the accumulated plastic strain energy reached the maximum [43,44]. With seismic excitation, the structure elements alternatively exhibit tension and compression; they will experience the cycle of loading, compaction, elasticity, plasticity, and unloading, which induces cyclic impact on the material and brings about crack expansion, crack penetration, and even damage of the structure [45].…”
Section: Strength Failure Criterion Based On the Dissipatedmentioning
confidence: 99%
“…In recent years, surface waves have been the subject of many analytical and numerical seismic studies in civil engineering. These researches are mostly limited to realizing the subjects like diffraction of Rayleigh waves by surface topographic features [42][43][44][45][46][47], cavity detection [48][49][50][51], evaluating bending deformation of tunnel and lining response [36,37,[52][53][54][55][56], the response of high-rise structure, and soil-structure interaction [32,57,58]. Therefore, seldom studies are related to investigating the seismic interaction of surface waves with underground structures on the free surface ground motion.…”
Section: Introductionmentioning
confidence: 99%