1. Reference problem#

1.1. Geometry#

_images/Shape2.gif

Cylinder geometry \((m)\):

\({R}_{0}=1\)

\({R}_{1}=1.02\)

\(H=1\)

1.2. Material properties#

Elastic

        • Young’s module: \(E=1.0\times {10}^{6}\mathrm{Pa}\)

        • Poisson’s ratio: \(\nu =0.3\)

LEMAITRE

\(g(\sigma ,\lambda ,T)={(\frac{1}{K}\frac{\sigma }{(\frac{1}{{\lambda }^{m}})})}^{n}\) with \(n=2\); \(\frac{1}{K}=1\); \(\frac{1}{m}=0\)

CIN1_CHAB

\(R\text{\_}0=0.\)

\(R\text{\_}I=0.\)

\(B=0.\)

\(C\text{\_}I=0.\)

\(K=0.\)

\(W=0.\)

\(G\text{\_}0=0.\)

\(A\text{\_}I=0.\)

1.3. Boundary conditions and loads#

Imposed displacement (\(m\)):

County \(\mathrm{CD}\)

_images/Shape3.gif

County \(\mathrm{AB}\)

_images/Shape4.gif