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/MAT/LAW16 (GRAY)

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/MAT/LAW16 - Gray Johnson Cook Material

Description

This material law is based on Gray EOS and Johnson Cook yield criteria.

Format

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/MAT/LAW16/mat_ID or /MAT/GRAY/mat_ID

mat_title

 

 

 

 

 

 

E

 

 

 

 

 

 

a

b

n

P0

C

S

ae

AW

Pmin

E0

 

 

 

 

c

m

Tmelt

Tmax

am

ge

Tm0

Vj

Vb

 

 

 

 

U

Eoh

Ay

 

 
hmtoggle_plus1Flag Definition

Field

Contents

SI Unit Example

mat_ID

Material 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)

E

Young’s modulus

(Real)

Poisson’s ratio

(Real)

 

a

Plasticity yield stress

(Real)

b

Plasticity hardening parameter

(Real)

n

Plasticity hardening exponent

Default = 1.0001  (Real)

 

Failure plastic strain

Default = 1030  (Real)

 

Plasticity maximum stress

Default = 1030  (Real)

P0

Initial pressure

(Real)

C

Hugoniot parameters

(Real)

S

Us = C + S Up

(Real)

 

Lattice gamma

(Real)

 

ae

(Real)

 

AW

Atomic weight

(Real)

 

Pmin

Pressure cutoff

Default = -1030  (Real)

E0

Initial energy per unit volume

(Real)

c

Strain rate coefficient

= 0: no strain rate effect (default)

(Real)

 

Reference strain rate (time unit)-1

(Real)

m

Temperature exponent

Default = 1.0  (Real)

 

Tmelt

Melting temperature

Default = 1030  (Real)

Tmax

For T > Tmax: m =1 is used

Default = 1030  (Real)

Melting gamma

Default =  (Real)

 

am

Default = a  (Real)

 

Electronic gamma

Default = 2/3  (Real)

 

ge

Electronic energy coefficient

Default = 0.0  (Real)

 

Entropy of melting

Default = U x 9.637e-5  (Real)

Tm0

Melting temperature parameter

Default = 1.3 Tmelt  (Real)

Vj

Volume where EOS are joined

(Real)

Vb

Excluded volume for vapor phase

Default = 0.5/r0  (Real)

U

1 Mbar cm3 to be converted in user’s unit

Default = 1.0  (Real)

 

Eoh

Energy at V=V0, T=300K, P=0

Default = 0.0  (Real)

Ay

Coefficient of attractive potential

(Real)

 

Join parameter

Default = 1.0  (Real)

 
hmtoggle_plus1Example (Aluminum)

#RADIOSS STARTER

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

/MAT/LAW16/1

Aluminum - GRAY EOS (unit g_cm_mus)

#              RHO_I               RHO_0

                 2.7                   0

#                  E                  Nu

                0.71                 .33

#                  a                   b                   n             Eps_max              sigmax

               0.002             0.00144                0.62                   0                   0

#                 P0                   C                   S             Gamma_0                 a_e

                   0               0.533               1.338                2.18                 1.7

#                 AW               P_min                  E0

               26.98               -5e-3

#                  c           eps_dot_0                   m              T_melt               T_max

                                                           1                1E30

#           Gamma_0m                 a_m             Gamma_e                 g_e             delta_S

                2.18                 1.7              0.6667              8.7e-9             9.637E5

#               T_m0                 V_j                 V_b

                1220             0.47388             0.19025

#                  U                E_0h                 a_y               Theta

                   1                   0                  47                   1

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

#ENDDATA

#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
hmtoggle_plus1Comment
1.      
hmtoggle_plus1Reference

E. B. Royce, “GRAY, a three-phase equation of state”, UCRL-51121, Lawrence Livermore Laboratory, 1971

See Also:

Material Compatibility

Law Compatibility with Failure Model