2. Benchmark solution#

2.1. Calculation method#

The reference results are obtained by another Aster calculation.

The displacements, the reaction forces at different nodes of the mesh are evaluated, as well as the local stress values for different cells.

These values are obtained for three moments \(t\): formula formula \(t=1\), formula formula, formula \(t=2\), formula \(t=10\).

Identification	Reference type	Reference value
Identification	Reference type	Instant	Value
Formula point \(\mathrm{N05}\) Formula travel \(\mathrm{DZ}\)	“AUTRE_ASTER”	1	-7.06E-01
		2	-1.41E+00
		10	-6.50E+00
Formula point \(\mathrm{N06}\) Formula travel \(\mathrm{DZ}\)	“AUTRE_ASTER”	1	-4.81E-01
		2	-9.63E-01
		10	-4.86E+00
Formula point \(\mathrm{N01}\) Force Nodale formula \(\mathrm{DX}\)	“AUTRE_ASTER”	1	-6.35E+09
		2	-1.27E+10
		10	-6.33E+10
Formula point \(\mathrm{N01}\) Force Nodale formula \(\mathrm{DY}\)	“AUTRE_ASTER”	1	-6.07E+09
		2	-1.21E+10
		10	-6.12E+10
Formula point \(\mathrm{N01}\) Force Nodale formula \(\mathrm{DZ}\)	“AUTRE_ASTER”	1	5.72E+08
		2	1.14E+09
		10	4.18E+09

Constraints in the mesh that models the membrane_grid at Gauss point number 1.

	Sigxx for rebar meshes oriented according to \(\mathrm{OX}\)	Sigxx for rebar meshes oriented according to \(\mathrm{OY}\)
Instant	Reference Value	Reference Value
1	2.94E+10	2.00E+11
2	5.88E+10	2.20E+11
10	2.15E+11	3.80E+11

Cumulative plasticity in the mesh that models the membrane_grid at the Gauss point number 1.

	Internal variables V1 for rebar meshes oriented according to \(\mathrm{ox}\)	Internal variables v1 for rebar meshes oriented according to \(\mathrm{oY}\)
Instant	Reference Value	Reference Value
2		9.00E-01
10	6.73E-01	4.06E+04

Stresses in the hexa8 concrete mesh at the Gauss point number 1: mesh \(\mathit{BMA1}\)