Non-linear seismic responses of tunnels within normal fault ground under obliquely incident P waves

Effective non-reflective boundary for Lamb waves: Theory, finite element implementation, and applications

Surface-wave attenuation by periodic pile barriers in layered soils

Summary
The impact of the incident angle of earthquake motion on the seismic response of the long lined tunnels is studied. Based on the time-domain finite element method with the viscous-spring artificial boundary condition, the earthquake motion of oblique incidence is transformed into the equivalent nodal forces acting on the truncated boundary of finite element model. In the present work, the formulas of equivalent nodal forces for the plane P wave with arbitrary incident angle are deduced and implemented into the commercial software abaqus [1]. The effectiveness of the formulas and its implementation are demonstrated by two numerical examples with the reference solutions. The proposed method is applied to investigate the seismic responses of the long lined tunnels under the obliquely incident P waves. The numerical results indicate that the seismic responses of the long lined tunnels are highly affected by the incident angles of P waves. Copyright © 2016 John Wiley & Sons, Ltd.

Impact of incident angles of P waves on the dynamic responses of long lined tunnels

A high‐order approach for modelling transient wave propagation problems using the scaled boundary finite element method

After a brief review of studies on artificial boundaries in dynamic soil-structure interaction, a three-dimensional viscous-spring artificial boundary (VSAB) in the time domain is developed in this paper. First, the 3D VSAB equations in the normal and tangential directions are derived based on the elastic wave motion theory. Secondly, a numerical simulation technique of wave motion equations along with the VSAB condition in the time domain is studied. Finally, numerical examples of some classical elastic wave motion problems are presented and the results are compared with the associated theoretical solutions, demonstrating that high precision and adequate stability can be achieved by using the proposed 3D VSAB. The proposed 3D VSAB can be conveniently incorporated in the general finite element program, which is commonly used to study dynamic soil-structure interaction problems.

Zhenyu Wang

Papers

3D viscous-spring artificial boundary in time domain