Tutorials

Table of Contents

• Graphical User Interface (GUI)
• Stress and strain tensors
  • Single tensors
  • Linear elasticity
  • The Mohr circles
  • Multidimensional tensor arrays
  • Apply rotations
• Computing and plotting engineering constants
  • The isotropic case
  • Anisotropic cases
  • Shear moduli and Poisson ratios
  • Plotting
• Averaging methods
  • Infinite number of orientations (the non-textured case)
  • Finite number of orientations
  • Plotting Voigt, Reuss and Hill averages at once
• Thermal expansion
  • Isotropic case
  • Anisotropic case
• Computing wave velocities
  • Creating the p- and s-wave velocity functions
  • Plotting the wave velocities
• Averaging multiple phases
  • Example: duplex steel
  • Voigt and Reuss averages
  • Lower bounds of elastic moduli
  • Upper bound of elastic moduli
  • Plotting the averages as functions of the volume fraction
• Save, read and download stiffness values
  • Read & write files
  • Download data from the Materials Project
• Plasticity
  • The Johnson-Cook model
  • Incremental loading
  • Complex loading path
  • Tresca’s plasticity criterion
• Manipulation of 4th-order tensors
  • Mapping conventions
  • Tensor algebra
• Working with crystallographic textures
  • Define and compose textures
  • Random sampling
  • Plotting