/MAT/LAW49 (STEINB)
Block Format Keyword This law defines an elastic plastic material with thermal softening.
Format
(1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) |
---|---|---|---|---|---|---|---|---|---|
/MAT/LAW49/mat_ID/unit_ID or /MAT/STEINB/mat_ID/unit_ID | |||||||||
mat_title | |||||||||
E0 | |||||||||
n | |||||||||
T0 | Tm | Pmin | |||||||
b1 | b2 | h | f |
Definitions
Field | Contents | SI Unit Example |
---|---|---|
mat_ID | Material identifier. (Integer, maximum 10 digits) |
|
unit_ID | Unit Identifier. (Integer, maximum 10 digits) |
|
mat_title | Material title (Character, maximum 100 characters) |
|
Initial density. (Real) |
||
Reference density used in E.O.S
(equation of state). Default = (Real) |
||
E0 | Initial Young's
modulus. (Real) |
|
Poisson's ratio. (Real) |
||
Plasticity initial yield stress. No default (Real) |
||
Plasticity hardening parameter. No default (Real) |
||
n | Plasticity hardening exponent. No default (Real) |
|
Maximum plastic strain. Default = 1030 (Real) |
||
Plasticity maximum stress. Default = 1030 (Real) |
||
T0 | Initial temperature. Default = 300 (Real) |
|
Tm | Melting
temperature. (Real) |
|
Specific heat. (Real) |
||
Pmin | Pressure cutoff. Default = 0.0 (Real) |
|
b1 | Law coefficient. No default (Real) |
|
b2 | Law coefficient. No default (Real) |
|
h | Law coefficient. No default (Real) |
|
f | Law coefficient. No default (Real) |
Example (Aluminum)
#RADIOSS STARTER
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/UNIT/1
unit for mat
g cm mus
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#- 2. MATERIALS:
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/MAT/LAW49/1/1
Aluminum
# RHO_I RHO_0
2.73 0
# E0 nu
.734 .33
# sigma_0 beta n EPS_max SIGMA_max
.0029 125 .1 9 .0068
# T_0 Tmelt rhoC_p Pmin
300 1220 2.59E-5 -.005
# b1 b2 h f
6.5 6.5 6.2E-4 0
/EOS/GRUNEISEN/1/1
Aluminum
# C S1 S2 S3
.524 1.5 0 0
# GAMMA0 ALPHA E0 RHO_0
1.97 0 0 0
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#ENDDATA
/END
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
Comments
- When material approaches melting point,
the yield strength and shear modulus diminish to zero. Melting energy is defined
as:
(1) Where,- Cold compression energy
- Melting temperature supposed to be constant
If the internal energy is less than , the shear modulus and the yield strength are defined as:(2) With(3) (4) Where, is given by a hardening rule:(5) If , then(6) The value of is limited by:(7) - If an
Equation of State (/EOS) does not refer to this material, the pressure is computed
as:
(8) with
- When reaches , in one integration point, the deviatoric stress of the corresponding integral point is permanently set to 0; however, the solid element is not deleted.