1. Reference problem#

1.1. Geometry#

D

C

F

joint

Y

A

B

X

We consider a square with side \(100\mathit{mm}\) joined to a cohesive surface on the reference axis \(x\). The joint is modelled by a thin plate with a thickness of \(\mathrm{0,1}\mathit{mm}\).

1.2. Material properties#

Plaque:

The material of the plate is isotropic elastic with a zero thermal expansion coefficient whose properties are:

  • \(E=2.E11\mathit{MPa}\)

  • \(\nu =0.3\)

  • \(\alpha =0.3\)

  • \(\rho =\mathrm{750kg}/\mathit{mm3}\)

Joint:

  • Distribution of the temperature of the temperature in the joint:

The joint is heated beforehand and the temperature distribution is linear along x.

T

100

X

0

100

  • The joint obeys a Marigo-Frankfurt brittle fracture law with temperature dependence RUPT_FRAG_F0.

    • GC: critical energy density of the joint

_images/1000020100000280000001E052B7EA1948A9C71F.png

    • SIGM_C: Critical constraint at the origin

_images/1000020100000280000001E0E5D7310269C30976.png

    • PENA_ADHERENCE: zero regularization parameter

    • PENA_LAGR =100, RIGI_GLIS =10,

1.3. Boundary conditions and loads#

The opening is modelled by a nodal force exerted on the point A \(15.18750\mathit{E8}N\).

1.4. Initial conditions#

Initial acceleration and zero initial speed. We simulate the problem from 0 to 0.01s.