Welcome to Elasticipy’s Documentation!

Purpose of this package

This Python’s package is dedicated to work on mechanical elasticity-related tensors; namely: stress, strain and stiffness/compliance tensors.

It provides a couple of ways to perform basic operations on these tensors in a user-friendly way. In addition, it handles arrays of tensors, allowing to perform thousands of data at once (see an example here).

It also comes with plotting features (e.g. spatial dependence of Young modulus).

Installation

To install this package, simply run:

pip install Elasticipy

Table of Contents

• Tutorial: working with stress and strain tensors
  • Introduction
  • Single tensors
  • Linear elasticity
  • Multidimensional tensor arrays
  • Apply rotations
• Tutorial: extracting elasticity constants from the stiffness tensor
  • Introduction
  • Direction-dependent Young moduli
  • Shear moduli and Poisson ratios
  • Plotting
• Tutorial: Averaging methods
  • Infinite number of orientations (the non-textured case)
  • Finite number of orientations
• Tutorial: computing wave velocities
  • Creating the p- and s-wave velocity functions
  • Plotting the wave velocities
• Elasticipy
  • Elasticipy package