3. Modeling A#

3.1. Characteristics of modeling A#

AXIS_FOURIER, T6 mesh

_images/Shape1.gif _images/1000000000000B6D000008089DBF9EA56AEBB145.png

+——————–+——————————————————————-+———————————–++ |Die-cutting: |80 elements depending on the length | +--------------------+-------------------------------------------------------------------+-----------------------------------++ | |2 elements according to the radius | +--------------------+-------------------------------------------------------------------+-----------------------------------++ | | | +--------------------+-------------------------------------------------------------------+-----------------------------------++ |Loads: | | +--------------------+-------------------------------------------------------------------+-----------------------------------++ | | | +--------------------+-------------------------------------------------------------------+-----------------------------------++ |:math:`\mathrm{C1}`:|vertical gravity (field :math:`\mathrm{Ug}`) (:math:`g\sqrt{2}`) || +——————–+——————————————————————-+———————————–++ |:math:`\mathrm{C2}`:|pressure (field :math:`\mathrm{Up}`) :math:`{p}_{o}=10000N/{m}^{2}` || +——————–+——————————————————————-+———————————–++

Displacement components: \({u}_{r}\) (radial), \({u}_{z}\) (axial), (axial), \({u}_{\theta }\) (circumferential)

Node names:

\(A=\mathrm{N1}\)

\(B=\mathrm{N2}\)

\(C=\mathrm{N3}\)

\(D=\mathrm{N4}\)

\(E=\mathrm{N249}\)

\(F=\mathrm{N87}\)

3.2. Characteristics of the mesh#

Number of knots: 805

Number of meshes and types: 320 TRIA6

3.3. Tested values#

Values provided for \(\theta =0\).

Location

Value type

Reference

Aster

% difference

Field \(\mathrm{Ug}\) (for \(\theta =0\))

Point \(E\), \(F\)

\({u}_{r}(m)\)

\({u}_{\theta }(m)\)

3.566 x 10—7 0.

3.541 x 10—7 3.94 10—14

—0.701

Point \(B\)

\({\sigma }_{\mathrm{zz}}(\mathrm{Pa})\)

—2.496 x 105

—2.598 x 105

  • 4.09

Field \(\mathrm{Up}\) (for \(\theta =0\))

Point \(E\)

\({u}_{r}(m)\)

—7.82 x 10—6

—7.71 x 10—6

—1.4

Point \(F\)

—7.82 x 10—6

—7.70 x 10—6

—1.5

Point \(B\)

\({\sigma }_{\mathrm{rr}}(\mathrm{Pa})\)

\({\sigma }_{\mathrm{zz}}(\mathrm{Pa})\) \({\sigma }_{\theta \theta }(\mathrm{Pa})\)

1.63 x 106 5.51 x 106 1.65 x 106

1.41 x 106 5.65 x 106 1.89 x 106

—13.4 2.7 14.7

Field \(\mathrm{Up}+\mathrm{Ug}\) (for \(\theta =0\))

Point \(E\)

\({u}_{r}(m)\)

—7.46 x 10—6

—7.358 x 10—6

—1.3

Point \(F\)

\({u}_{r}(m)\)

—7.44 x 10—6

—7.348 x 10—6

—1.2

Point \(B\)

\({\sigma }_{\mathrm{rr}}(\mathrm{Pa})\)

\({\sigma }_{\mathrm{zz}}(\mathrm{Pa})\) \({\sigma }_{\theta \theta }(\mathrm{Pa})\)

1.56 x 106 5.25 x 106 1.57 x 106

1.34 x 106 5.398 x 106 1.80 x 106

—13.7 2.8 15.0

3.4. notes#

  1. The reference values for the pressure (Up field) are obtained in the C modeling, from a 3D mesh.

3.5. Contents of the results file#

Travel, constraints.