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/MAT/LAW80 - Hot Stamping High Strength Steel

Description

This law allows modeling the ultra-high strength steel behavior at high temperatures and the phase transformation phenomena from austenite to ferrite, pearlite, bainite and martensite during cooling.

Format

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/MAT/LAW80/mat_ID/unit_ID

mat_title

 

 

 

 

 

 

 

 

E

fct_IDE

YscaleE

Time_unit

 

 

Fsmooth

Fcut

Ceps

Peps

 

tab_IDY1

tab_IDY2

tab_IDY3

tab_IDY4

tab_IDY5

 

 

 

 

 

Yscale1

Yscale2

Yscale3

Yscale4

Yscale5

Xscale1

Xscale2

Xscale3

Xscale4

Xscale5

Θ2

Θ3

Θ4

Θ5

 

Alpha1

Alpha2

 

 

 

QR2

QR3

QR4

Alpha

Tref

 

 

 

 

Gsize

KF

KP

Lat1

Lat2

Tini

B

Mo

Mn

W

Al

C

Cr

Si

Cu

As

Co

Ni

V

P

Ti
hmtoggle_plus1Flag Definition

Field

Contents

SI Unit Example

mat_ID

Material identifier

(Integer, maximum 10 digits)

 

unit_ID

Optional unit identifier

(Integer, maximum 10 digits)

 

mat_title

Material title

(Character, maximum 100 characters)

 

Initial density

(Real)

E

Young’s modulus

(Real)

Poisson’s ratio

(Real)

 

fct_IDE

Function identifier for temperature dependent Young modulus

(Integer)

 

YscaleE

Scale factor for ordinate (Young) for fct_IDE

Default = 1.0  (Real)

Time_unit

Number of time units per hour.

Default corresponds to seconds, equals 3600 time units per hour.

Defaults = 3600 (Real)

 

Fsmooth

Smooth strain rate option flag

Default = 0  (Integer)

= 0: no strain rate smoothing

= 1: strain rate smoothing active

 

Fcut

Cutoff frequency for strain rate filtering

Default = 1030  (Real)

 

Ceps

Parameter for the effective strain rate dependency (Cowper Symonds relation) (Comment 2)

(Real)

 

Peps

Parameter for the effective strain rate dependency (Cowper Symonds relation) (Comment 2)

(Real)

 

tab_IDY1

Table identifier for yield stress, first entry effective plastic strain and second temperature, for austenite

(Integer)

 

tab_IDY2

Table identifier of yield stress for ferrite

(Integer)

 

tab_IDY3

Table identifier of yield stress for pearlite

(Integer)

 

tab_IDY4

Table identifier of yield stress for bainite

(Integer)

 

tab_IDY5

Table identifier of yield stress for martensite

(Integer)

 

Yscale1

Scale factor for ordinate (stress) for tab_IDY1

Default = 1.0  (Real)

Yscale2

Scale factor for ordinate (stress) for tab_IDY2

Default = 1.0  (Real)

Yscale3

Scale factor for ordinate (stress) for tab_IDY3

Default = 1.0  (Real)

Yscale4

Scale factor for ordinate (stress) for tab_IDY4

Default = 1.0  (Real)

Yscale5

Scale factor for ordinate (stress) for tab_IDY5

Default = 1.0  (Real)

Xscale1

Scale factor for third variable strain rate for tab_IDY1

Default = 1.0  (Real)

Xscale2

Scale factor for third variable strain rate for tab_IDY2

Default = 1.0  (Real)

Xscale3

Scale factor for third variable strain rate for tab_IDY3

Default = 1.0  (Real)

Xscale4

Scale factor for third variable strain rate for tab_IDY4

Default = 1.0  (Real)

Xscale5

Scale factor for third variable strain rate for tab_IDY5

Default = 1.0  (Real)

Θ2

Memory coefficient that determines the fraction of previous straining in the austenite that will be remembered in the newly formed ferrite.

(Real)

= 1: all the plastic strains are transferred.

 

Θ3

Memory coefficient that determines the fraction of previous straining in the austenite that will be remembered in the newly formed pearlite.

(Real)

= 1: all the plastic strains are transferred.

 

Θ4

Memory coefficient that determines the fraction of previous straining in the austenite that will be remembered in the newly formed bainite.

(Real)

= 1: all the plastic strains are transferred.

 

Θ5

Memory coefficient that determines the fraction of previous straining in the austenite that will be remembered in the newly formed martensite.

(Real)

= 1: all the plastic strains are transferred.

 

Alpha1

Thermal expansion coefficient for austenite (gamma phase)

Alpha2

Thermal expansion coefficient for products (alpha phase)

QR2

Activation energy divided by the universal gas constant (R=8.314472) for the diffusion reaction of the austenite ferrite reaction (Comment 1).

Default = 11575 (Real)

QR3

Activation energy divided by the universal gas constant (R=8.314472) for the diffusion reaction of the austenite pearlite reaction (Comment 1).

Default = 13840  (Real)

QR4

Activation energy divided by the universal gas constant (R=8.314472) for the diffusion reaction of the austenite bainite reaction (Comment 1).

Default = 13588  (Real)

Alpha

Material constant for martensite phase (Comment 3)

(Real)

 

Tref

Reference temperature for thermal expansion.

(Real)

Gsize

ASTM grain size number for the austenite.

(Real)

 

KF

Coefficient of Boron in the composition of ferrite (Comment 4)

(Real)

 

KP

Coefficient of Boron in the composition of pearlite (Comment 4)

(Real)

 

Lat1

Latent heat for the decomposition of austenite to ferrite, pearlite, and bainite

(Real)

Lat2

Latent heat for the decomposition of austenite to martensite

(Real)

Tini

Initial temperature

(Real)

 

B

Boron percentage weight in material (0.0~1.0)

(Real)

 

Mo

Molybdenum percentage weight in material (0.0~1.0)

(Real)

 

Mn

Manganese percentage weight in material (0.0~1.0)

(Real)

 

W

Tungsten percentage weight in material (0.0~1.0)

(Real)

 

Al

Aluminum percentage weight in material (0.0~1.0)

(Real)

 

C

Carbon percentage weight in material (0.0~1.0)

(Real)

 

Cr

Chromium percentage weight in material (0.0~1.0)

(Real)

 

Si

Silicon percentage weight in material (0.0~1.0)

(Real)

 

Cu

Copper percentage weight in material (0.0~1.0)

(Real)

 

As

Arsenic percentage weight in material (0.0~1.0)

(Real)

 

Co

Cobalt percentage weight in material (0.0~1.0)

(Real)

 

V

Vanadium percentage weight in material (0.0~1.0)

(Real)

 

P

Phosphorous percentage weight in material (0.0~1.0)

(Real)

 

Ti

Titanium percentage weight in material (0.0~1.0)

(Real)

 

Ni

Nickel percentage weight in material (0.0~1.0)

(Real)

 
hmtoggle_plus1Example (Steel)

#RADIOSS STARTER

#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|

/UNIT/1

unit for mat

                 Mg                  mm                   s

#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|

#-  2. MATERIALS:

#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|

/MAT/LAW80/1/1

steel

#              RHO_I

              7.8E-9

#                  E                  NU   fct_IDE             YscaleE           Time_unit

              210000                  .3         0                   0                3600

#            Fsmooth                Fcut                Ceps                Peps

                   0                   0                   0                   0

# TAB_IDY1  TAB_IDY2  TAB_IDY3  TAB_IDY4  TAB_IDY5

        10        10        10        10        10

#            Yscale1             Yscale2             Yscale3             Yscale4             Yscale5

                   0                   0                   0                   0                   0

#            Xscale1             Xscale2             Xscale3             Xscale4             Xscale5

                   0                   0                   0                   0                   0

#             Theta2              Theta3              Theta4              Theta5

                   0                   0                   0                   0

#             Alpha1              Alpha2

             2.51E-5             1.11E-5

#                QR2                 QR3                 QR4               Alpha                Tref

               13022               15569               15287                .011           298.14999

#                                                                                              Gsize

                                                                                                   8

#                 KF                  KP                Lat1                Lat2                Tini

              190000               31000                 590                 640                1083

#                  B                  Mo                  Mn                   W                  Al

               .0025                   0                1.23                   0                   0

#                  C                  Cr                  Si                  Cu                  As

                .248                 .24                 .29                   0                   0

#                 Co                  Ni                   V                   P                  Ti

                   0                   0                   0                .015                   0

#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|

/TABLE/1/10

table

        3

     2011                           0.0                273.                                      

     2013                          0.02                300.                                      

     2013                          0.04                300.                                      

     2012                           0.0                300.                                      

     2012                          0.02                273.                                      

     2012                          0.04                273.                                      

/FUNCT/2011

1st

                0.0               185.0

                0.1               339.0

                1.0               339.0

/FUNCT/2012

2nd

                0.0               190.0

                0.1               344.0

                1.0               344.0

/FUNCT/2013

3rd

                0.0               195.0

                0.1               349.0

                1.0               349.0

#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|

#ENDDATA

/END

#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
hmtoggle_plus1Comments
1.If Q should be in , then 1 cal =4.1855 J.
2.The strain rate dependency when Cowper Seymonds is used:

3.The martensite volume fraction xM equation is:

Where, Ms is the temperature of martensite transformation and is the fraction of austenite available when the transformation of martensite starts.

4.In order to take into account the Boron added in the composition of the material, the functions of ferrite and pearlite are modified: the coefficients KF and KP, multiplies the weight percentage of Boron (B), respectively in ferrite and pearlite composition functions.
5.This law can be used with /HEAT/MAT.
6.This law is compatible with /PROP/TYPE1, /PROP/TYPE9, and /PROP/TYPE10.
7.List of Animation output (/ANIM/SHELL/USRII/JJ):

USR 2= Austenite Phase Fraction

USR 3= Ferrite Phase Fraction

USR 4= Pearlite Phase Fraction

USR 5= Bainite Phase Fraction

USR 6= Martensite Phase Fraction

USR 7= Hardness

USR 8= Temperature

USR 9= Yield

USR 10= XGAMA in martensite equation

See Also:

Material Compatibility

Law Compatibility with Failure Model