1. Reference problem#

1.1. Geometry#

_images/100000000000033C0000019433CA1CD7DE942051.png

It is a composite material made up of 16 superimposed layers of the same material and different fiber directions forming a \(4.48m\) thick plate. The longitudinal direction or direction of the fibers of each layer is defined by the first direction of orthotropy.

1.2. Material property#

The properties of the material are:

  • Longitudinal Young’s modulus: \(\text{E\_L}=59000\mathrm{MPa}\)

  • transversal Young’s module: \(\text{E\_T}=59000\mathrm{MPa}\)

  • shear modulus in plane \(\text{LT}\): \(\text{G\_LT}=3700\mathrm{MPa}\)

  • Poisson’s ratio in plane \(\text{LT}\): \(\text{NU\_LT}=0.08\)

  • criterion for failure under traction in the longitudinal direction: \(\mathrm{XT}=560\mathrm{MPa}\)

  • criterion for failure under compression in the longitudinal direction: \(\mathrm{XC}=-475\mathrm{MPa}\)

  • Traction failure criterion in the transverse direction: \(\mathrm{YT}=560\mathrm{MPa}\)

  • compression failure criterion in the transverse direction: \(\mathrm{YC}=-475\mathrm{MPa}\)

  • shear failure criterion in plane \(\text{LT}\): \(\text{S\_LT}=48\mathrm{MPa}\)

The orientation of the first layer is 0° with respect to the reference frame, for the second layer 45°, for the third 0° and so on.

1.3. Boundary conditions and loads#

  • \(\mathrm{N1}\)

\(\mathrm{DY}=0\), \(\mathrm{DZ}=0\), \(\mathrm{DRX}=0\),, \(\mathrm{DRY}=0\), \(\mathrm{DRZ}=0\)

  • \(\mathrm{GAUCHE}\)

\(\mathrm{DX}=0\)

  • \(\mathrm{DROITE}\)

\(\mathrm{FX}=-784N\)