1. Reference problem#

1.1. Geometry#

_images/Object_1.svg

The 3 layers have the relative thickness: \(H/\mathrm{4,}H/\mathrm{2,}H/4\)

1.2. Material properties#

The orthotropy axes correspond to the curvilinear directions \(x\) and \(y\).

\({E}_{l}=25.\)

\({E}_{t}=1.\) (\(l\iff x\); \(t\iff y\))

\({G}_{\text{lt}}={G}_{\text{lz}}=0.5\)

\({G}_{\mathrm{tz}}=0.2\)

\({\nu }_{\text{lt}}=0.25\)

1.3. Boundary conditions and loads#

  • Boundary conditions: the displacement perpendicular to the plate, on its contour is zero.

  • Loading: \(p={p}_{o}\mathrm{sin}(\pi x/L)\mathrm{sin}(\pi y/L)\) with \({p}_{o}=0.01\)

1.4. Initial conditions#

Not applicable