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UnconfinedCompression

Lightweight Python code for simulating the unconfined compression of nonlinear poroelastic materials. The poroelastic sample is assumed to remain cylindrical during compression. The code uses Chebyshev spectral differentiation along with fully implicit time stepping. The Jacobian matrix for Newton iterations has been coded by hand for speed.

Features of the code include:

  • Displacement- and force-controlled loading
  • neo-Hookean and fibre-reinforced neo-Hookean material responses
  • Constant and deformation-dependent permeabilities

The code uses SymPy to generate exact derivatives of hyperelastic strain energies and permeabilities. This makes it easy to extend and customise the material properties without having to manually update the entries in the Jacobian matrix.