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Hoque and Tatsuoka (1998)

Anisotropic elasticity of Toyoura sand, Hostun sand, Ticino sand, and Hime gravel 1.

import pandas as pd

from micromechanical.cli.plot import PlotCLI, PlotConfig

config: PlotConfig = PlotCLI.loadConfig("../../calibrations/micromechanical-plots.yaml")

Kinematic Hypothesis

Parameters

parameters = {}
for plot_name, plot_config in config.plots.items():
    if not plot_name.startswith("Hoque1998") or not plot_name.endswith("Kinematic"):
        continue

    parameters["-".join(plot_name.split("-")[1:3])] = {
        key: value
        for key, value in plot_config.calibration.read(config.root).parameters.items()
        if key not in ["F12", "F13", "F23" "sigc", "sig1", "sig2", "sig3", "force_numerical",
                       "force_dependent_stiffness", "major_axes"]
    }  # fmt: skip

pd.DataFrame(parameters).T
F1 F22 F23 Gg e0 krr n npv nug radius
Toyoura-TYK1A 0.236831 -0.118416 0.0 4.768947e+11 0.641 0.330565 0.468847 4.704191e+11 0.2 0.000081
Toyoura-TYK02 0.240138 -0.120069 0.0 3.245621e+11 0.653 0.355009 0.464311 4.704191e+11 0.2 0.000081
Toyoura-TYISD 0.070907 -0.035454 0.0 1.004464e+12 0.681 0.283872 0.497608 4.704191e+11 0.2 0.000081
SLB-SLK1A 0.999831 -0.499916 0.0 4.240850e+10 0.540 0.653131 0.383921 1.468564e+10 0.2 0.000310
SLB-SLK1V 1.047505 -0.523752 0.0 1.221763e+11 0.524 0.604476 0.422190 1.468564e+10 0.2 0.000310
SLB-SLK0A 1.343100 -0.671550 0.0 4.397345e+11 0.520 0.531970 0.481254 1.468564e+10 0.2 0.000310
Hime-HGK1A 0.860217 -0.430109 0.0 2.444407e+11 0.510 0.535936 0.474325 7.725413e+08 0.2 0.000865
Hime-HGK0A 0.937457 -0.468728 0.0 6.447487e+11 0.490 0.511164 0.502967 7.725413e+08 0.2 0.000865
Ticino-TCK1A 0.137375 -0.068688 0.0 8.166023e+11 0.580 0.331597 0.508010 2.371429e+10 0.2 0.000251

Figures

for plot_name, plot_config in config.plots.items():
    if not plot_name.startswith("Hoque1998") or not plot_name.endswith("Kinematic"):
        continue

    plot_config.plot(plot_name, grids=config.grids, save=False, overwrite=False)

(a), (b)

Static Hypothesis

Parameters

parameters = {}
for plot_name, plot_config in config.plots.items():
    if not plot_name.startswith("Hoque1998") or not plot_name.endswith("Static"):
        continue

    parameters["-".join(plot_name.split("-")[1:3])] = {
        key: value
        for key, value in plot_config.calibration.read(config.root).parameters.items()
        if key not in ["F12", "F13", "F23" "sigc", "sig1", "sig2", "sig3", "force_numerical",
                       "force_dependent_stiffness", "major_axes"]
    }  # fmt: skip

pd.DataFrame(parameters).T
F1 F22 F23 Gg e0 krr n npv nug radius
Toyoura-TYK1A 0.242157 -0.121079 0.0 4.740089e+11 0.641 0.474190 0.468847 4.704191e+11 0.2 0.000081
Toyoura-TYK02 0.245027 -0.122514 0.0 3.228172e+11 0.653 0.489363 0.464311 4.704191e+11 0.2 0.000081
Toyoura-TYISD 0.072952 -0.036476 0.0 1.001689e+12 0.681 0.444320 0.497608 4.704191e+11 0.2 0.000081
SLB-SLK1A 1.003059 -0.501530 0.0 4.304446e+10 0.540 0.694565 0.384751 1.468564e+10 0.2 0.000310
SLB-SLK1V 1.051392 -0.525696 0.0 1.219189e+11 0.524 0.657163 0.422208 1.468564e+10 0.2 0.000310
SLB-SLK0A 1.348440 -0.674220 0.0 4.380621e+11 0.520 0.600734 0.481254 1.468564e+10 0.2 0.000310
Hime-HGK1A 0.865622 -0.432811 0.0 2.434059e+11 0.510 0.608385 0.474325 7.725413e+08 0.2 0.000865
Hime-HGK0A 0.943754 -0.471877 0.0 6.413766e+11 0.490 0.590361 0.502967 7.725413e+08 0.2 0.000865
Ticino-TCK1A 0.140583 -0.070292 0.0 8.132547e+11 0.580 0.474109 0.508010 2.371429e+10 0.2 0.000251

Figures

for plot_name, plot_config in config.plots.items():
    if not plot_name.startswith("Hoque1998") or not plot_name.endswith("Static"):
        continue

    plot_config.plot(plot_name, grids=config.grids, save=False, overwrite=False)

(a), (b)

Total running time of the script: ( 0 minutes 4.698 seconds)

Download Python source code: plot_hoque998.py

Download Jupyter notebook: plot_hoque998.ipynb

Gallery generated by mkdocs-gallery

  1. Hoque, E., & Tatsuoka, F. (1998). Anisotropy in Elastic Deformation of Granular Materials. Soils and Foundations, 38(1), 163–179. https://doi.org/10.3208/sandf.38.163 ↩