/MAT/LAW23 (PLAS_DAMA)

Block Format Keyword This law models an isotropic elastic plastic material and combines Johnson-Cook material model with a generalized damage model. The law is applicable only for solid elements.

Format

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)
/MAT/LAW23/mat_ID/unit_ID or /MAT/PLAS_DAMA/mat_ID/unit_ID
mat_title
ρ i                
E ν            
a b n ε p m a x σ max 0
c ε ˙ 0 ICC          
ε d a m Et            

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)

 
ρ i Initial density.

(Real)

[ kg m 3 ]
E Young's modulus.

(Real)

[ Pa ]
ν Poisson's ratio.

(Real)

 
a Plasticity yield stress - should be strictly positive.

(Real)

[ Pa ]
b Plasticity hardening parameter.

(Real)

 
n Plasticity hardening exponent. 3

(Real)

 
ε p m a x Failure plastic strain.

Default = 1030 (Real)

 
σ max 0 Plasticity maximum stress.

Default = 1030 (Real)

[ Pa ]
c Strain rate coefficient.
= 0
No strain rate effect.

Default = 0.00 (Real)

 
ε ˙ 0 Reference strain rate.

If ε ˙ ε ˙ 0 , no strain rate effect.

(Real)

[ 1 s ]
ICC Strain rate computation flag. 5
= 0 (Default)
Set to 1.
= 1
Strain rate effect on σ max .
= 2
No strain rate effect on σ max .

(Integer)

 
ε d a m Damage model starts at ε d a m .

Default = 0.15 (Real)

 
Et Softening damage slope ( E < E t 0 ).

Default = 0.00 (Real)

[ Pa ]

Example (Aluminum)

#RADIOSS STARTER
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/UNIT/1
unit for mat
                   g                  mm                  ms
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#-  2. MATERIALS:
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/MAT/LAW23/1/1
Alu
#              RHO_I
               .0027                   
#                  E                  nu
               70000                  .3
#                  a                   b                   n             Eps_max            sig_max0
                 100                   0                   1                  .2                 100
#                  c               EPS_0       ICC
                   0                   0         0
#            EPS_dam                 E_t
                  .1               -2000
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#ENDDATA
/END
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|

Comments

  1. The damage law is applied to the stress tensor σ i j and damage occurs in tension, compression and shear.
  2. The input is the same as material law (/MAT/LAW22 (DAMA)).
  3. The plasticity hardening exponent n must be less than one.
  4. When ε p reaches ε p m a x , in one integration point, then the solid element is deleted.
  5. ICC is a flag of the strain rate effect on material maximum stress σ max .


    σ = σ y ( 1 + c ln ( ε ˙ ε ˙ o ) ) σ = σ y ( 1 + c ln ( ε ˙ ε ˙ o ) )
    σ max = σ max 0 ( 1 + c ln ( ε ˙ ε ˙ o ) ) σ max = σ max 0
    Figure 1.