2. Reference solution#

2.1. Calculation method used for the reference solution#

The reference arrow is calculated on a very fine mesh with HEXA20 elements. It is considered to be the reference solution. It corresponds to the C model.

2.2. Benchmark results#

Elasticity:

Point

Size and unit

Value

\(P\)

Arrow

_images/Object_5.svg

(\(\mathrm{mm}\))

3.72

\(P\)

Arrow

_images/Object_6.svg

(\(\mathrm{mm}\))

-0.439

Plasticity: (Von Mises law with isotropic work hardening)

Point

Size and unit

Value

\(P\)

Arrow

_images/Object_7.svg

(\(\mathrm{mm}\))

4.548

\(P\)

Arrow

_images/Object_8.svg

(\(\mathrm{mm}\))

-0.5127

2.3. Bibliographical references#

[1] [R3.06.11] Aster reference document: Sub-integrated HEXA8 finite elements stabilized by the ASM method. X.Desroches

[2] T.Belytschko and L.P.Bindeman. Assumed strain stabilization of the eight node hexahedral element. Computer Methods in Applied Mechanics and Engineering, 105 (1993), pp 225-260

[3] F.Abed-Meraïm and A.Combescure. Stabilization of under-integrated finite elements. Internal Report No. 247 LMT -Cachan, January 2001