4. B modeling

Case with linear kinematic work hardening.

4.1. Thermal loading for B modeling

Reference temperature: 50°C

Loading history: \({\mathrm{Evolution}}_{B}\) (cf. [§1.4)

The temperatures came in like a knotty field.

4.2. Results

The values of \(\mathit{SIXX}\) are recorded at the node \(\mathrm{NO1}\) (direction of the longitudinal reinforcements) and \(\mathit{SIXX}\) at the node \(\mathrm{NO1}\) (direction of the transverse reinforcements)

	\(\mathit{SIXX}\) in meshes modeling fibers oriented according to \(\mathrm{OX}\)			\(\mathit{SIXX}\) in meshes modeling fibers oriented according to \(\mathrm{OY}\)
Instant	Reference	Aster_code	Ecart	Reference	Aster_code	Ecart
1	2.00E+08	2.00E+08	0	2.00E+08	2.00E+08	0
2	2.40E+08	2.40E+08	0	2.40E+08	2.40E+08	0
3	4.00E+07	4.00E+07	0	4.00E+07	4.00E+07	0
4	2.40E+08	2.40E+08	0	2.40E+08	2.40E+08	0
5	—1,60E+08	—1,60E+08	0	—1,60E+08	—1,60E+08	0
6	—2.40E+08	—2.40E+08	0	—2.40E+08	—2.40E+08	0
7	1.60E+08	1.60E+08	0	1.60E+08	1.60E+08	0
8	2,80E+08	2,80E+08	0	2,80E+08	2,80E+08	0
9	—1,20E+08	—1,20E+08	0	—1,20E+08	—1,20E+08	0
10	—3.00E+08	—3.00E+08	0	—3.00E+08	—3.00E+08	0
11	1.00E+08	1.00E+08	0	1.00E+08	1.00E+08	0

Notes:

The results shown are given in the reference frame \(({X}_{\mathrm{ref}},{Y}_{\mathrm{ref}})\) making an angle of \(0°\) with respect to \((X,Y)\) .

The test case studied corresponds to the following diagram in a stress-deformation plane: