Growth-induced elastodynamics

variational formulation
1

Hi!

I am working on non-linear elastodynamics problem, incorporating growth-induced deformation.
To do so, I get inspired from your hyperelasticity example, and trying to compose the deformation gradient into elastic and growth parts, as F = Felastic*Fgrowth.

  • Would you have some example of growth-induced elastodynamics implemented with FEniCS?
  • I would like to use a time-dependent growth tensor expression.
  1. Should I rather express Fgrowth as a differential growth (i.e. applying to the mesh output from the last solver iteration) or as a growth tensor applying to the initial mesh configuration? What’s the best to consider for FEniCS?
  2. How could I properly visualize evolving tensors (Felastic, Fgrowth) on the deforming mesh?

Many thanks,
Anne