Energy-based newmark method for seismic slope displacements revisited: Fid-Bau Portal

Energy-based newmark method for seismic slope displacements revisited

Kokusho, Takaji / Mori, Jiro / Mizuhara, Michinori / Fang, Huolang

Abstract In a previous paper, Energy-Based Newmark Method was developed wherein upward wave energy E u supplied by an earthquake determines seamlessly whether or not sliding occurs as well as the associated slope displacement if it occurs. The displacement δ r was numerically analyzed in a Newmark-type slope model excited by upcoming SH-wave, though accompanied numerical errors tended to increase with increasing displacements, making the evaluation less reliable. In this paper, the model has been modified to be free from the numerical errors and analyzed again to determine earthquake wave energies for slope sliding E eq from upward energy E u using realistic slope parameters. As a result, a modified version of design chart for δ r of much higher reliability uniquely correlated with E eq has been presented, showing a basic compatibility with a case history earthquake behavior of road embankments. Thus, δ r can be readily estimated in this method considering variability of design parameters from upward energy E u in terms of earthquake magnitude and hypocenter distance with no need of acceleration time-histories.

Highlights • Energy-Based Newmark-type slope displacement for simplified earthquake design. • Seamless evaluation not only possibility of sliding but also slope displacement. • Slope displacements evaluated directly from wave energy with no need of design motion. • Design chart for displacements uniquely applicable to various slope parameters. • Chart-based displacement seems compatible with road embankment failure case history.