# Examples¶

The directory examples/ in Tamaas’ root repository contains example scripts dedicated to various aspects of Tamaas:

statistics.py

This script generates a rough surface and computes its power spectrum density as well as its autocorrelation function.

rough_contact.py

This script generates a rough surface and solves an adhesion-less elastic contact problem.

adhesion.py

This script solves a rough contact problem with an exponential energy functional for adhesion. It also shows how to derive an energy functional in python.

saturation.py

This script solves a saturated contact problem (i.e. pseudo-plasticity) with a rough surface.

stresses.py

This script solves an equilibrium problem with an eigenstrain distribution and a surface traction distribution and writes the output to a VTK file. It demonstrates how the integral operators that Tamaas uses internally for elastic-plastic contact can be used directly in Python.

plasticity.py

This script solves an elastoplastic Hertz contact problem with three load steps and writes the result to VTK files.

scipy_penalty.py

This script shows how to implement a contact solver in python that uses the contact functionals of Tamaas. Here we use Scipy’s scipy.optimize.minimize() function to solve a contact problem with penalty.