Local transmitting boundaries for transient elastic analysis

An assessment of the domain reduction method as an advanced boundary condition and some pitfalls in the use of conventional absorbing boundaries

“…Hence the absorbing boundaries perform better when incorporated in the DRM, as they are required to absorb less energy. In the present study the widely used standard viscous boundary of Lysmer and Kuhlemeyer [11] and the cone boundary of Kellezi [3] were incorporated in the DRM.…”

“…the standard viscous boundary of Lysmer and Kuhlemeyer [11]), can be efficiently used in the numerical modelling of geotechnical earthquake engineering problems as an advanced absorbing boundary condition. In this respect, a practical methodology is also proposed which employs the cone boundary of Kellezi [3] on the outer boundary of the reduced (step II) model of the DRM. To verify the applicability of the proposed methodology, the results using the cone boundary and the viscous boundary are compared with those using an extended mesh.…”

Steady-State and Transient Dynamic Visco-Elastic Response of Concrete and Earth Dams Due to Dam-Reservoir Interaction

“…Zero displacements are specified in the vertical direction on the upstream reservoir boundary, whereas the horizontal boundary condition applied on the upstream reservoir boundary (C-D) is the standard viscous boundary [22][24] which is described by Equation 2 [30]. (2) where σ is a normal stress on the boundary, ρ is the density of the material the BC has been applied to (i.e.…”

Numerical investigation of the response of the Yele rockfill dam during the 2008 Wenchuan earthquake

“…The initial stress state, before the Wenchuan earthquake, is reproduced by the static FE analysis simulating the dam construction. The boundary conditions for the dynamic analysis are shown in Figure 9, where the cone boundary condition (Kellezi, 1998(Kellezi, & 2000Kontoe et al, 2009) is employed at the lateral boundaries and the recorded 2-D bedrock motion is uniformly prescribed at the bottom boundary as the input motion in both the horizontal and vertical directions. For the hydraulic boundary conditions, water flow is restricted at the bottom boundary and the pore water pressure at other external boundaries is prescribed as no change (i.e.Δpf=0).…”