Three dimensional dynamics of pipelines buried in backfilled trenches due to oblique incidence of body waves

Proceedings; UJNR workshop on soil-structure interaction

“…The normalized hoop stress is given by £00 = \&ee(a)/up\fi\A\ . The numerical results presented for source/observer combinations (7VS , N0} of (20,40) and (40,80) show that the procedure is very stable as the number of source and observation points increases. It appears that 20 source points and 40 observation points are sufficient for most applications.…”

“…Three-dimensional models of infinitely long pipelines similar to those considered in this study have been considered previously by Datta and Shah (1982) for a full space and by Wong et al (1986aWong et al ( , 1986b and Liu et al (1988) for a half-space. In particular, Wong et al (1986aWong et al ( , 1986b have considered the response of a cylindrical pipeline of circular cross section buried in a uniform elastic half-space and subjected to obliquely incident plane P-, SV-, SH-and Rayleigh-waves.…”

“…The solution was obtained by expansion into wave-functions in both the half-space and the shell and by truncation of the resulting infinite system of equations. Liu et al (1988) have obtained the three-dimensional response of an infinitely long pipeline buried in a backfilled trench embedded in a uniform half-space when subjected to obliquely incident P-and SV-waves. These authors have used a hybrid approach in which an internal region including the pipeline is modelled by finite elements while the exterior region is modelled by use of a boundary integral representation in terms of Green's functions for a uniform half-space.…”

Visco-elastic imperfect bonding effect on dynamic response of a non-circular lined tunnel subjected to P and SV waves

“…A wave source of harmonic P and SV waves is located in the position with a distance r 0 from the center of the tunnel. To express the wave field, the wave function expanded method is introduced [1]. In this method, the wave field is decoupled by using the wave functions and trigonometric functions.…”

“…To withstand the static overburden and dynamic loading, it is fundamental for us to predict the strength of tunnels subjected to all kinds of loadings. In past decades, many investigations on the strength of tunnels have provided significant references for the appropriate measurements, optimum design and safe operation of tunnels [1]. It is generally believed that underground tunnels are less vulnerable to seismic shaking due to the wave propagation and diffraction.…”