1. Reference problem#

_images/Shape1.gif

1.1. Geometry#

Coordinates of points \((m)\):

  • \(A(0.,0.)\)

  • \(B(1.,0.)\)

  • \(C(1.,1.)\)

  • \(D(0.,1.)\)

1.2. Material properties#

Elastic

  • \(E=178000\mathrm{MPa}\) Young’s module

  • \(\nu =0.3\) Poisson’s ratio

LEMAITRE

  • \(n=9.7\)

  • \(K=1920.\)

  • \(\frac{1}{m}=0.\)

1.3. Boundary conditions and loads#

Imposed displacement \((m)\):

  • \(\mathrm{AB}\): \(\mathrm{DY}=0\)

  • \(\mathrm{AD}\): \(\mathrm{DX}=0\)

Loading

  • Uniform pressure on \(\mathrm{BC}\): \({\sigma }_{1}\)

  • Uniform pressure on \(\mathrm{CD}\): \({\sigma }_{2}\)

  • Routes \(\mathrm{OA},\mathrm{AB},\mathrm{CD},\mathrm{DE}\) and \(\mathrm{EF}\) lasting 30 seconds

  • Trip \(\mathrm{BC}\) lasting 60 seconds

  • Hold time in \(A,B\) and \(D\) of 3600 seconds

_images/Shape2.gif