matmod_z#
Description#
This model is an implementation of the MATMOD-Z equations due to Miller [M6]. The model accounts for isotropic/kinematic hardening and presents a particular form of temperature dependence in the material coefficients.
Syntax#
***behavior matmod
[ **thermal_strain
<THERMAL_STRAIN> ]
\(~\,\) **model_coef
Stored Variables
prefix |
size |
description |
default |
---|---|---|---|
|
T-2 |
total strain |
yes |
|
T-2 |
Cauchy stress |
yes |
|
S |
plastic multipliers |
yes |
|
S |
yes |
|
|
S |
yes |
|
|
S |
yes |
|
|
T-2 |
viscoplastic strain |
yes |
|
T-2 |
irradiation strain |
yes |
Example#
The following is a simple example of the MATMOD-Z material corresponding to the material in Miller’s original paper:
%
% Zircaloy model from Oldsberg, Miller and Lucas STP 681 (1978).
%
***behavior matmod_z
**model_coef
E function 9.65e4 - (9.65e4-5.51e4)*(temperature-300.0)/700.0;
poisson 0.3
F 0.5
G 0.25
H 0.75
A 500.0
A1 3240.0
A2 1.78e8
A4 8.89e-13
B 5.0e12
C1 0.143
C2 1.0e-10
Fsa -1.815e-7
Fsb 4.99e-8
Fsm2 2.32e-7
Fsm3 3.25e-6
H1 0.0070 % dR
H2 6.64e-4 % dFdef
H3 2.0e-26 % dFdef irr
k 1.9859
kp 91.0
kq 3.0
n 4.5
p 0.5
Qs 60000.0
Q4 8400.0
Tt 930.0
Z2 1.0e23
Z3 1.0e12
beta2 6.0
beta3 3.0
% phi = flux
phi 0.0