Soil mechanical concepts using Jupyter Notebooks

A set of Jupyter Notebooks demonstrating various soil mechanical concepts, including

Grain size distributions
Soil physical properties
Principal stresses and Mohr's circle
Mechanical tests (oedometer, triaxial)
Active and passive earth pressure
Slope failure
Kinematic element methods
Settlements and consolidation
Ground failure
...

The notebooks mainly make use of

numpy
scipy
matplotlib
ipywidgets
sympy

The notebooks can be viewed with nbviewer, see https://jupyter.org/, or can now also be run interactively using binder (available through nbviewer).

See https://nagelt.github.io

Comments and contributions are welcome.

Related publication:

Kern, D., & Nagel, T. (2022). An experimental numerics approach to the terrestrial brachistochrone. GAMM Archive for Students, 4(1), 29–35. https://doi.org/10.14464/gammas.v4i1.512

Kern, D., & Nagel, T. (2024). The essence of Biot waves in an oscillator with two degrees of freedom. GAMM Archive for Students, 6(1). https://doi.org/10.14464/gammas.v6i1.663

Nagel, T., Gerasimov, T., & Kern, D. (2023). Neighbourhood watch in mechanics: non-local models and convolution. https://arxiv.org/abs/2306.15674

Name		Name	Last commit message	Last commit date
Latest commit History 332 Commits
Images		Images
plot_functions		plot_functions
Advection_Diffusion_plot.ipynb		Advection_Diffusion_plot.ipynb
Dilatancy_around_circular_excavation.ipynb		Dilatancy_around_circular_excavation.ipynb
Grundbruch.ipynb		Grundbruch.ipynb
Hauptspannungen.ipynb		Hauptspannungen.ipynb
KEM.ipynb		KEM.ipynb
KEM_2.ipynb		KEM_2.ipynb
Kapillaranstieg.ipynb		Kapillaranstieg.ipynb
Mohrs_circle.ipynb		Mohrs_circle.ipynb
Mohrs_circle_K0.ipynb		Mohrs_circle_K0.ipynb
Plan_Glossar_BoMe.ipynb		Plan_Glossar_BoMe.ipynb
Plan_Glossar_MEL.ipynb		Plan_Glossar_MEL.ipynb
README.md		README.md
Rankine.ipynb		Rankine.ipynb
Schnittreaktionen.ipynb		Schnittreaktionen.ipynb
Schwergewichtsmauer.ipynb		Schwergewichtsmauer.ipynb
Schwergewichtsmauer_Aufgabe.ipynb		Schwergewichtsmauer_Aufgabe.ipynb
Sicherheit_Gelaendesprung.ipynb		Sicherheit_Gelaendesprung.ipynb
Sicherheitskonzepte.ipynb		Sicherheitskonzepte.ipynb
Slope_Stability_Control.ipynb		Slope_Stability_Control.ipynb
Spundwand.ipynb		Spundwand.ipynb
Spundwand_Aufgabe.ipynb		Spundwand_Aufgabe.ipynb
Steifemodul.ipynb		Steifemodul.ipynb
Terzaghi_FD.ipynb		Terzaghi_FD.ipynb
Triaxialversuch.ipynb		Triaxialversuch.ipynb
accuracy.ipynb		accuracy.ipynb
active_earth_pressure.ipynb		active_earth_pressure.ipynb
basic_quantities.ipynb		basic_quantities.ipynb
compressibility_pore_fluid.ipynb		compressibility_pore_fluid.ipynb
consolidation_analytical.ipynb		consolidation_analytical.ipynb
consolidation_analytical_ramp.ipynb		consolidation_analytical_ramp.ipynb
demo_script.ipynb		demo_script.ipynb
exam_in_progress.ipynb		exam_in_progress.ipynb
grain_size_demo.ipynb		grain_size_demo.ipynb
kornverteilungskurve.ipynb		kornverteilungskurve.ipynb
passive_earth_pressure.ipynb		passive_earth_pressure.ipynb
raw_string_changer.py		raw_string_changer.py
requirements.txt		requirements.txt
settlements.ipynb		settlements.ipynb
settlements_indirect.ipynb		settlements_indirect.ipynb
slope_failure.ipynb		slope_failure.ipynb
slope_stability.ipynb		slope_stability.ipynb
sohldruck.ipynb		sohldruck.ipynb
stability_bifurcation.ipynb		stability_bifurcation.ipynb
stress_paths.ipynb		stress_paths.ipynb
stresses_steinbrenner.ipynb		stresses_steinbrenner.ipynb
stresses_under_loads.ipynb		stresses_under_loads.ipynb
superposition_Boussinesq.ipynb		superposition_Boussinesq.ipynb

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