1. Reference problem#

1.1. Geometry#

_images/100000000000039C000003586B407D8329B35E0C.png

The aggregate is represented by a regulated hexahedral mesh occupying a volume with side 1.

It comprises 300 grains, defined by the belonging of each of the cells to a particular group of elements centered around a germ positioned randomly in the cube.

1.2. Material properties#

Elastic behavior with:

Young’s module:

_images/Object_1.svg

Poisson’s ratio:

_images/Object_2.svg

Behavior mono-crystalline, with BCC24 sliding system.

The behavior of the single crystal is defined by:

Type of flow: MONO_VISC1 whose parameters are:

_images/Object_3.svg

Isotropic work hardening type: MONO_ISOT1 ** whose parameters are:

_images/Object_4.svg _images/Object_5.svg _images/Object_6.svg _images/Object_7.svg

(interaction between sliding systems)

No kinematic work hardening: MONO_CINE1

_images/Object_8.svg

1.3. Boundary conditions and loads#

Face \(z\mathrm{=}0\)

:

_images/Object_9.svg

Face \(y\mathrm{=}0\)

:

_images/Object_10.svg

Face \(x\mathrm{=}0\)

:

_images/Object_11.svg

Face \(z\mathrm{=}1\)

:

_images/Object_12.svg

The load

_images/Object_13.svg

is increasing linearly from 0 for \(t\mathrm{=}0\) to \(0.1\) for \(t\mathrm{=}\mathrm{100s}\).

To reduce the calculation time, this one is carried up to \(t\mathrm{=}\mathrm{1.8s}\), i.e. an imposed deformation of \(\text{0.18\%}\), in 3 increments.