Abstract

The strain-dependent nonlinear properties of ground materials, such as shear modulus degradation (G/Gmax) and damping, are of significant importance in seismic-related analyses. However, the ABAQUS program lacks a comprehensive procedure to estimate parameters for a built-in model. In this study, a nonlinear kinematic hardening (NKH) model with three back-stress values was used, which allows better fitting to the backbone curves compared to the simplified nonlinear kinematic hardening (SNKH) model previously proposed. Instead of modeling in ABAQUS, a semi-automated procedure was implemented in MATLAB, which can predict shear stress–shear strain hysteretic loops, to find the fitting parameters to the target G/Gmax and/or damping curves. The procedure was applied for three soil and two rock samples, and the results indicate a good match between model and target backbone curves, which proves the application of the procedure and the NKH model in simulating the nonlinear properties of ground materials.

Highlights

  • Shear modulus degradation (G/Gmax ) and damping (D) curves are the most important properties that need to be considered when simulating dynamic problems, such as seismic wave propagation in the ground, or dynamic soil–structure interactions (SSIs) [1,2,3,4]

  • The procedure for estimating simplified nonlinear kinematic hardening (SNKH) model parameters was proposed by Anastasopoulos and Gelagoti [5], with a single calibrated parameter based on the ultimate shear strength of material, the kinematic hardening parameters were varied to fit with G/Gmax obtained from experiments, without changing the shear strength at extremely large shear strains

  • The results for damping obtained from the nonlinear kinematic hardening (NKH) model were significantly improved compared to the SNKH model in Figure 1a,b, due to the reasonable threshold shear strain, and the backstress curves with more kinematic hardening parameters

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Summary

Procedure to Estimate Nonlinear

Kinematic Hardening Model to Keywords: nonlinear kinematic hardening model; shear modulus degradation; damping; ABAQUS. Sci. Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations

Introduction
Soil Sample Properties
Torsional Shear Test Modeling
Nonlinear
MATLAB Algorithm
Algorithm
Semi-Automated Procedure to Estimate the NKH Model Parameters
Flowchart
Application of the NKH Model and the Semi-Automated Procedure for Rocks
Application of thethe
Findings
Conclusions
Full Text
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