1. Reference problem#

1.1. Geometry#

_images/Object_1.svg

1.2. Material properties#

Coatings:

\({E}_{x}={E}_{y}=4.{10}^{10}\mathit{Pa}\)

\({G}_{\mathit{xz}}={G}_{\mathit{yz}}=4.{10}^{9}\mathit{Pa}\)

\({\nu }_{\mathrm{xz}}=0.3\)

\({\rho }_{1}=2000\mathrm{kg}/{m}^{3}\)

Heart:

\({E}_{x}={E}_{y}=4.{10}^{7}\mathit{Pa}\)

\({G}_{\mathit{xz}}={G}_{\mathit{yz}}=1.5\mathrm{.}{10}^{7}\mathit{Pa}\)

\({\nu }_{\mathrm{xz}}=0.3\)

\({\rho }_{2}=50\mathrm{kg}/{m}^{3}\)

Shear coefficient \(k\): \(1/k=110.8\).

The Poisson coefficients are the same: \({\nu }_{\mathrm{xz}}={\nu }_{\mathrm{xy}}={\nu }_{\mathrm{yz}}\).

1.3. Boundary conditions and loads#

The beam simply rests on sides \(\mathrm{AB}\) and \(\mathrm{CD}\).

1.4. Initial conditions#

Not applicable.