1. Reference problem

1.1. Geometry

1.2. Material properties

Isotropic elasticity \(E=145000\mathrm{MPa}\) \(\nu =0.3\)

Elasto-plasticity with memory effect (modeling A): model VISC_CIN2_MEMO

Isotropic work hardening
R_0	\(35\mathrm{MPa}\)	B	12
Memory
MU	19	Q_0	\(\mathrm{140MPa}\)
ETA	0.5	Q_M	\(\mathrm{460MPa}\)
Kinematic work hardening (modeling A)
C1	0	G1_0	0
C2	0	G2_0	0

Viscoplasticity with memory effect (B and C models): model VISC_CIN2_MEMO

Parameters the same as the previous values except:

LEMAITRE
UN_SUR_K	\(1/70{(\mathrm{MPa}{S}^{1/N})}^{\text{-1}}\) =0.0142857	N	24
Kinematic work hardening (B modeling)
C1	1950 MPa	G1_0	50
C2	65000 MPa	G2_0	1300

Viscoplasticity model VISCOCHAB (B and C models)

\(k\)	\(35\mathit{MPa}\)	B	12	12	ETA	0.5	C2	\(65000\mathit{MPa}\)
A_K	0	M_R	1	C1	\(1950\mathit{MPa}\)	M_2	1
A_R	1	G_R	0	0	M_1	1	D2	1
K_0	\(70\mathrm{MPa}{S}^{1/N}\)	MU	19	19	D1	1	G_X2	0
N	24	Q_M	460	460	G_X1	0	G2_0	\(1300\mathit{MPa}\)
ALP	0 MPa	Q_0	Q_0	40 MPa	40	G1_0	\(50\mathit{MPa}\)	A_I	1
		QR_0	200 MPa

1.3. Boundary conditions and loads

\(\mathit{N6}\)	\(\mathit{dy}\mathrm{=}\mathit{dz}\mathrm{=}0\)
\(\mathit{N2}\)	\(\mathit{dy}\mathrm{=}0\)
\(\mathit{FACE1YZ}\)	\(\mathit{dx}\mathrm{=}0\)

Traction (modeling A):

\(\mathit{FACEYZ}\)

\(\mathit{Fx}\mathrm{=}\mathrm{-}0.25\mathrm{\times }\mathit{coef}\)

\(\mathit{Coef}\mathrm{=}120\) for \(t\mathrm{=}\mathrm{8s}\).

Pre-work hardening (B modeling)	\(\mathit{FACEYZ}\)	\(\mathit{Sxx}\mathrm{=}250\mathit{MPa}\mathrm{\times }\mathit{coef2}\)	\(\mathit{Sxx}\mathrm{=}250\mathit{Mpa}\mathrm{\times }\mathit{coef2}\)
\(\mathit{coef}2\mathrm{=}1\) for \(t\mathrm{=}\mathrm{10s}\)	then unload (\(\mathit{coef2}\mathrm{=}0\)) for \(t\mathrm{=}\mathrm{11s}\).
From \(\mathrm{11s}\)	20 cycles in imposed deformation (+/- 0.5%)