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아래의 표는 LS-DYNA에서 기본적으로 제공하는 history variables이다. 각 material type과 element type별로 정리 되어 있다. 


user defined material [UMAT]을 사용하고자 할때 중요한 참고 자료이다. 

기회가 되면 UMAT에 대해 다뤄보고자 한다. 


 'eqp' 라고 표기된것은  'plastic strain' 을 의미한다. 


material
 no.shells
no.
solids
 *MAT_002eqp 









10 
11 
12
stiffness component C11 
stiffness component C12 
stiffness component C13 
stiffness component C14 
stiffness component C22 
stiffness component C23 
stiffness component C24 
stiffness component C33 
stiffness component C34 
stiffness component C44 
stiffness component C55 
stiffness component C56 
stiffness component C66
1..9deformation gradient
 *MAT_003



5
back stress component xx 
back stress component yy 
back stress component xy 
back stress component yz 
back stress component zx




5
back stress component xx 
back stress component yy 
back stress component xy 
back stress component yz 
back stress component zx
 *MAT_0043temperature3temperature
  *MAT_007   1..9deformation gradient
  *MAT_015



6
failure value 
current pressure cutoff 
JC damage parameter 
temperature change 
JC failure strain 
5
6
temperature change 
JC damage parameter
 *MAT_017   
11 
12
fracture flag 
fracture stress 
element size 
 *MAT_019 
 (VP=0)



4
ratio of hisvar 2 to hisvar 3 
current failure component 
given failure component  
effective strain rate
1
2
3
4
ratio of hisvar 2 to hisvar 3 
current failure component 
given failure component  
effective strain rate
  *MAT_021 15 temperature 15temperature 
 *MAT_022 
 (LAMSHT=1) 
eqp 



failure flag tensile fiber mode 
failure flag tensile matrix mode 
failure flag compr. matrix mode 
material direction cosine 
material direction sinus


3
failure flag tensile fiber mode 
failure flag tensile matrix mode 
failure flag compr. matrix mode
  *MAT_024

5
 effective strain rate 
current hardening slope 
current yield stress


5
effective strain rate 
current hardening slope 
current yield stress 
  *MAT_025  





7
hardening variable K 
cap - J1-axis interception, X(K) 
volumetric plastic strain 
first stress invariant 
second stress invariant 
response mode number 
number of iterations 
  *MAT_034 
 (FORM=14)





8
local stress fiber a 
local stress fiber b 
local shear stress 
local strain fiber a 
local strain fiber b 
local shear strain
  
  *MAT_036




8
reverse of old yield stress 
material direction cosine 
material direction sinus 
effective strain rate 
current yield stress 
current hardening slope
  
  *MAT_037
3
current hardening slope 
current yield stress 
  
  *MAT_054 
 (LAMSHT=1)








10 
11 
12 
16 
failure flag tensile fiber mode 
failure flag compr. fiber mode 
failure flag tensile matrix mode 
failure flag compr. matrix mode 
total failure 
damage parameter (SOFT) 
material direction cosine 
material direction sinus 
local fiber strain 
local matrix strain 
local shear strain 
transverse shear damage 
  
 *MAT_055 
 (LAMSHT=1) 








10 
11 
12
failure flag tensile fiber mode 
failure flag compr. fiber mode 
failure flag tensile matrix mode 
failure flag compr. matrix mode 
total failure 
damage parameter (SOFT) 
material direction cosine 
material direction sinus 
local fiber strain 
local matrix strain 
local shear strain 
  
 *MAT_058 








15
 damage in fiber direction 
damage in matrix direction 
damage in shear 
threshold failure value r1 
threshold failure value r2 
material direction cosine 
material direction sinus 
total failure 
threshold failure value rs 
effective strain
  
  *MAT_059


7
material direction cosine 
material direction sinus 
failure value 
damage 
  
 *MAT_063   eqp 
1
volumetric strain ln(V) 
volumetric strain gamma=1-V
 *MAT_065 6 temperature change6 temperature change
  *MAT_081

5
damage 
current hardening slope 
current yield stress


5
damage 
current hardening slope 
current yield stress
  *MAT_082



10 
11 
12
damage 1 
current hardening slope 
current yield stress 
damage 2 
material direction cosine 
material direction sinus 
Wilkins damage (only _RCDC)




7
damage 1 
damage 2 
damage 3 
current hardening slope 
current yield stress
 *MAT_083  15 
16 
17
1st principal strain rate 
2nd principal strain rate 
3rd principal strain rate
  *MAT_0891
4
5
7
19
21
effective strain rate
filtered strain rate
maximum strain rate
failure strain
total effective strain
damage
1
4
5
7
19
21
effective strain rate
filtered strain rate
maximum strain rate
failure strain
total effective strain
damage
  *MAT_096  eqp 



4
normalized internal variable alpha 
internal variable alpha 
1-direction of crack normal 
2-direction of crack normal 
3-direction of crack normal
  *MAT_098
1
effective strain rate (VP=0) 
failure flag (VP=1)
  
 *MAT_100  8
10
damage 
effective strain rate
  *MAT_101

9
strain rate 
failure flag 
current unloading modulus
  
  *MAT_10313 
14
material direction cosine 
material direction sinus
  
 *MAT_104

3
current yield stress 
current hardening slope 
damage
1
2
3
current yield stress 
current hardening slope 
damage
  *MAT_1051damage1damage
  *MAT_106




6
temperature 
Young's modulus 
Poisson's ratio 
yield stress 
isotropic scaling factor 
kinematic scaling factor
1
2
3
4
5
6
temperature 
Young's modulus 
Poisson's ratio 
yield stress 
isotropic scaling factor 
kinematic scaling factor
*MAT_110  

1
2
3
4

bulking pressure increment due to energy loss
damage
plastic strain increment
effective strain rate

 *MAT_1201
4
5
6
7
11
13
14
void volume fraction 
triaxiality 
effective strain rate 
growth of voids 
nucleation of voids 
material damage 
deviatoric microscopic pl. strain 
volumetric macroscopic pl. strain
1
2
3
4
5
11
13
14
void volume fraction 
triaxiality 
effective strain rate 
growth of voids 
nucleation of voids 
material damage 
deviatoric microscopic pl. strain 
volumetric macroscopic pl. strain
  *MAT_120_JC






10 
11 
13 
14
void volume fraction 
triaxiality 
effective strain rate 
growth of voids 
nucleation of voids 
JC failure strain 
JC damage 
domain variable 
material damage 
deviatoric microscopic pl. strain 
volumetric macroscopic pl. strain








11 
13 
14
void volume fraction 
triaxiality 
effective strain rate 
growth of voids 
nucleation of voids 
JC failure strain 
JC damage 
domain variable 
material damage 
deviatoric microscopic pl. strain 
volumetric macroscopic pl. strain
 *MAT_120_RC..





12
void volume fraction 
damage 
critical damage 
fracture fraction 
trial stress weighting term 
asymmetric strain weighting term 
damage slope






10
void volume fraction 
damage 
critical damage 
fracture fraction 
trial stress weighting term 
asymmetric strain weighting term 
damage slope
 *MAT_123

7
effective strain rate 
thinning strain 
major in plane strain

7
effective strain rate 
major principal strain
 *MAT_126  eqp relative volume
 *MAT_1336 strain rate  
  *MAT_138  eqpdamage
 *MAT_143  7
8
9
10
damage, parallel tension 
damage, parallel compression 
damage, perpendicular tension 
damage, perpendicular compression
 *MAT_159  eqp
3
4
misc. (see manual) 
ductile damage 
brittle damage
 *MAT_169  

1
2
3
4
5
6

damage 
edge damage 
normal stress 
shear stress 
element size
plastic strain rate (starting with release R6)

  *MAT_186  


5
effective separation parameter 
stiffness in 1-direction 
stiffness in 2-direction 
stiffness in 3-direction
 *MAT_187



5
accumulated plastic multiplier 
eq. plastic strain tension/compr. 
eq. plastic strain shear 
eq. plastic strain biaxial 
damage




5
accumulated plastic multiplier 
eq. plastic strain tension/compr. 
eq. plastic strain shear 
eq. plastic strain biaxial 
damage
  *MAT_221  eqp 







8
damage in traction along a 
damage in traction along b 
damage in traction along c 
damage in compression along a 
damage in compression along b 
damage in compression along c 
shear damage in ab-plane 
shear damage in bc-plane 
shear damage in ac-plane
 *MAT_2241
7
8
9
10
11
12
plastic strain rate 
plastic work 
ratio of pl. strain to pl. failure strain 
element size 
temperature
plastic failure strain
triaxiality
5
8
9
10
11
12
13
14
plastic strain rate
plastic failure strain
triaxiality
Lode angle 
plastic work 
ratio of pl. strain to pl. failure strain 
element size 
temperature
 *MAT_2341
2
3
material direction cosine 
material direction sinus 
degradation coefficient
  
  *MAT_2351
2
3
4
13
braid angle (fill) 
braid angle (warp) 
undulation angle (fill) 
undulation angle (warp) 
discount factor
  
 *MAT_240  1
2
3
4
damage 
failure flag 
reference strain rate 
thickness

 

 








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