1. Reference problem#

1.1. Geometry#

_images/Object_1.svg

1.2. Material properties#

Isotropic elasticity

Young’s Modulus: \(E\mathrm{=}200000\mathit{MPa}\) Poisson’s Ratio: \(\nu \mathrm{=}0.3\)

Rousselier model coefficients

Initial porosity: \({f}_{0}\mathrm{=}0.01\) \(D\mathrm{=}2\) \({\sigma }_{1}\mathrm{=}500\mathit{MPa}\)

Rational traction curve

Logarithmic deformation 0.0 0.002 1.002

Rational constraint (\(\mathit{MPa}\)) 0.0 400.0 2400.0

Non-local model

Regularization of swelling: C_ GONF = 1N

1.3. Boundary conditions and loads#

The bar, blocked in direction \(\mathit{Oy}\) on face \(\mathrm{[}\mathrm{1,2}\mathrm{]}\), is subject to displacement \(u(t)\) on face \(\mathrm{[}\mathrm{3,}4\mathrm{]}\).

_images/Object_7.svg _images/Object_8.svg

1.4. Initial conditions#

Zero stresses and deformations at \(t=0\).