1. Reference problem#

1.1. Geometry#

_images/Shape1.gif

Figure 1.1-a: Geometry and boundary conditions

1.2. Material properties#

**Cube:* elastic

\(E=\mathrm{2,1}\cdot {10}^{6}\) \(\mathit{MPa}\), \(\nu \mathrm{=}0\)

Joint element:

  • law of behavior ELAS with the following parameters:

\(E=\mathrm{2,1}\cdot {10}^{6}\) \(\mathit{MPa}\), \(\nu \mathrm{=}0\)

  • law of behavior JOINT_BA with the following parameters:

    • Initial settings:

penetration coefficient:

\(\mathit{Hpen}\mathrm{=}\mathrm{0.64mm}\)

(keyword: HPEN)

stiffness module:

\({G}_{\mathit{lia}}\mathrm{=}6.65\mathrm{\times }{10}^{+\mathrm{3MPa}}\)

(keyword: GTT)

    • Tangential damage parameters:

elastic deformation threshold:

\({\varepsilon }_{\gamma }^{0}\mathrm{=}5\mathrm{\times }{10}^{\mathrm{-}4}\)

(keyword: GAMD0)

damage coefficient region 1:

\({\mathit{Ad}}_{1}\mathrm{=}1.0\)

(keyword: AD1)

damage coefficient region 1:

\({\mathit{Bd}}_{1}\mathrm{=}0.5\)

(keyword: BD1)

threshold of major landslides:

\({\varepsilon }_{\gamma }^{2}\mathrm{=}9.6\mathrm{\times }10\mathrm{-}1\)

(keyword: GAMD2)

damage coefficient region 2:

\({\mathit{Ad}}_{2}\mathrm{=}6\mathrm{\times }{10}^{\mathrm{-}5}{\mathit{MPa}}^{\mathrm{-}1}\)

(keyword: AD2)

damage coefficient region 2:

\({\mathit{Bd}}_{2}\mathrm{=}1.0\)

(keyword: BD2)

    • Parameters for crack friction and confinement:

friction:

\(\gamma \mathrm{=}10.0\mathit{MPa}\)

(keyword: VIFROT)

kinematic work hardening:

\(\alpha \mathrm{=}4\mathrm{\times }{10}^{\mathrm{-}1}{\mathit{MPa}}^{\mathrm{-}1}\)

(keyword: FA)

lockdown:

\(c\mathrm{=}1.0\)

(keyword: FC)

    • Normal damage parameters:

critical normal deformation (opening):

\({\varepsilon }_{N}^{0}\mathrm{=}9\mathrm{\times }{10}^{\mathrm{-}1}\)

(keyword: EPSTR0)

normal damage coefficient:

\({\mathit{Ad}}_{N}\mathrm{=}1\mathrm{\times }{10}^{\mathrm{-}9}{\mathit{MPa}}^{\mathrm{-}1}\)

(keyword: ADN)

normal damage coefficient:

\({\mathit{Bd}}_{N}\mathrm{=}1.5\)

(keyword: BDN)

1.3. Boundary conditions and loads#

No imposed displacements on the left side of the joint element.

Mechanical loading is imposed in the form of movements imposed on the right side of the cube in increments of \(0.01\mathrm{\times }U\) at each time step, from 0 to 300.

1.4. note#

The law of behavior of the joint element is given locally (frame \((n,t)\)), the system calculations are performed in the global coordinate system \((x,y)\). The base change was taken into account in the calculations. The test case was developed with a rotation of \(30°\) in order to validate this basic change.