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/EOS/GRUNEISEN - Gruneisen Equation of State

Description

Describes the Gruneisen equation of state.

Format

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

/EOS/GRUNEISEN/mat_ID/unit_ID

eos_title

C

S1

S2

S3

 

a

E0

 
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)

 

eos_title

EOS title

(Character, maximum 100 characters)

 

C

C sound speed (Comment 1)

(Real)

fail_lad_SI_k

S1

S1 material constant (Comment 1)

(Real)

 

S2

S2 material constant

(Real)

 

S3

S3 material constant

(Real)

 

coefficient (see equation below)

(Real)

 

a

a coefficient (see equation below)

Default =  (Real)

 

E0

Initial energy per unit reference volume

(Real)

symbol_Jm3

Reference density

(Real)

symbol_kg
hmtoggle_plus1Example (Copper)

#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----|

/MAT/HYD_JCOOK/1/1

Copper (data from Example 46 - TNT Cylinder Expansion Test)

#              RHO_O

                8.96

#                  E                  NU

                1.24                 .35

#                  A                   B                   n              EPS_max             SIG_max

                9E-4              .00292                 .31                   0               .0066

#               Pmin

               -1E30

#                  C           EPS_DOT_0                   M               Tmelt               Tmax

                .025                1E-6                1.09                1656                1E30

#              RHOCP

            3.461E-5

/EOS/GRUNEISEN/1/1

Copper

#                  C                  S1                  S2                  S3

                .394               1.489                   0                   0

#             GAMMA0               ALPHA                  E0               RHO_0

                1.97                 .47                   0                8.96

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

#ENDDATA
hmtoggle_plus1Comments
1.C, S1, S2 and S3 are the coefficients of the cubic equation relating the shock velocity to the particle velocity.
2.Let , if symbol_u > 0, the pressure is given by:

3.If symbol_u < 0, the pressure is given by:

4.This EOS can be used with material law /MAT/LAW3, /MAT/LAW4 (Johnson-Cook) or /MAT/LAW49 (Steinberg).
5.Input example:

Material

density0 (g/cm3)

C (cm/symbol_us)

S1

symbol_y0

a

Cu

8.9

0.394

1.489

1.97

0.47

Stainless Steel

7.9

0.457

1.490

2.00

0.50

Al

2.7

0.533

1.338

2.18

0.48

See Also:

Example 46 - TNT Cylinder Expansion