A new simple masing-type soil nonlinear model considering modified damping and its application on KiK-net site response

Abstract

In this paper, a series of simple Masing rules is first proposed for best fitting the shear modulus reduction and the damping ratio curves of soil based on the extended Masing rules and hysteretic damping formulation. A new masing-type nonlinear model is established and implemented in ABAQUS software based on the Matasovic back-bone curve and the new proposed Masing rules. To validate the practical applicability of the new model, the 1-Directional 3-Component nonlinear site response analysis for station KSRH10 (in Hamanaka, Hokkaido, Japan) is conducted. The numerically predicted results of the proposed nonlinear model are in excellent agreement with the recordings. The surface peak ground acceleration obtained by ABAQUS agrees well with the recording, which has a little difference of about 8.3% on average. The comparison between the proposed nonlinear model and the DEEPSOIL model indicate that the results of the former match better with recording to some extent, in term of acceleration time histories, spectral acceleration (SA) curves, and peak ground acceleration (PGA). The mean square error of acceleration time histories and SA curves obtained by the proposed model is smaller than the model in DEEPSOIL. The agreement with recording is improved by 10.8% compared with the DEEPSOIL model.

Keywords:

• Hysteretic damping formulation
• masing rules
• soil nonlinearity
• ABAQUS
• site response analysis

Disclosure statement

No potential conflict of interest was reported by the authors.

Data availability statement

Source code is available at: https://github.com/earthquake-ws/MKZ-NonMasing.

Additional information

Funding

This study is supported by the National Natural Science Foundation of China under Grant No. U2139208, which is gratefully acknowledged.