Sidebar
laws:llevcq
Table of Contents
LLEVCQ
Description
An elasto-viscoplastic simplified constitutive law - LEV for 3D shell (COQJ4) element, numerically integrated on the thickness.
The model
This law is only used for mechanical analysis of elasto-viscoplastic with numerical integrations on the thickness.
Files
Prepro: LLEVCQ.F
Lagamine: CQ4LEV.F
Input file
Parameters defining the type of constitutive law
| Line 1 (2I5, 60A1) | |
|---|---|
| IL | Law number |
| ITYPE | = 137 |
| COMMENT | Any comment (up to 60 characters) that will be reproduced on the output listing |
Integer parameters
| Line 1 (5I5) | |
|---|---|
| NPI | number of integration points across the thickness ( $\leq$10 ) |
| IND | index of the thickness variable |
| = 0 the thickness is variable during deformation | |
| = 1 it is constant during deformation. | |
| METH | the method used to calculate the IP on thickness |
| = 0 → GAUSS | |
| = 1 → LOBATTO | |
| = 2 → NEWTON-COTE | |
| MLAW | = the method used to calculate the increments of stress |
| = 0 → Backward Euler method | |
| = 1 → Radial Return method | |
| = 2 → Decomposed mode method | |
| MANA | = 0 → The tangent matrix obtained by setting $\dot{\lambda} = 0$ |
| = 1 → The tangent matrix obtained by setting $\dot{\lambda}_{eq} \Rightarrow \dot{\sigma}_{eq}$ | |
| = 2 → The tangent matrix obtained by setting $\dot{\lambda}_{eq} \Rightarrow \dot{\varepsilon}_{eq}$ | |
| = 3 → The tangent matrix obtained by the consistent condition | |
Real parameters
| Line 1 (4G10.0) | |
|---|---|
| E | Young Modulus |
| ANU | Poisson's coefficient |
| C | Material parameter for $\sigma-\varepsilon$ relation |
| M | idem |
Remark : \[ \sigma_{eq} = c \left( \dot{\varepsilon}_{eq}\right)^m \]
Results
Stresses
| SIG(1) | = $N_x$, normal effort in the local X‑direction |
| SIG(2) | = $N_y$, normal effort in the local Y‑direction |
| SIG(3) | = $N_{xy}$, normal effort in the local X-Y plan |
| SIG(4) | = $M_x$, moment associated to the local X‑direction |
| SIG(5) | = $M_y$, moment associated to the local Y‑direction |
| SIG(6) | = $M_{xy}$, moment associated to the local X-Y plan |
State variables
| Q(1) | thick, the actual thickness for this IP. |
| Q(2) | $\sigma_y^e$, the equivalent VM type stress integrated through the thickness of this IP. |
| Q(3) | Yield, index of stress state for this IP |
| = 0, the stress state in this IP is elastic. | |
| = 1, it is elastoplastic. |
Repeat NPI times \[K = 3 + (IPI-1)*6\]
| Q(K+1) | $\sigma_y$, the yield stress at this IP in the thickness. |
| Q(K+2) | Yield, index of stress state for this IP in the thickness. |
| Q(K+3) | $\sigma_{yt}$, equivalent stress at this IP in the thickness. |
| Q(K+4) | $\sigma_{11}$, the local stress at this IP in the thickness. |
| Q(K+5) | $\sigma_{22}$, idem. |
| Q(K+6) | $\sigma_{12}$, idem. |
the total number of state variables is equal to $3 + NPI*6$
laws/llevcq.txt · Last modified: 2020/08/25 15:46 (external edit)
