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/MAT/LAW6 (HYDRO)

/MAT/LAW6 (HYDRO)

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/MAT/LAW6 (HYDRO)

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/MAT/LAW6 - Hydrodynamic Viscous Fluid Material

Description

Describes the hydrodynamic viscous fluid material using a polynomial EOS.

Format

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

/MAT/LAW6/mat_ID/unit_ID or /MAT/HYDRO/mat_ID/unit_ID

mat_title

 

 

 

 

 

 

 

 

 

 

 

 

 

 

C0

C1

C2

C3

 

 

Pmin

Psh

 

 

 

 

 

 

C4

C5

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)

 

mat_title

Material title

(Character, maximum 100 characters)

 

Initial density

(Real)

Reference density used in E.O.S (equation of state)

Default =  (Real)

Kinematic viscosity

(Real)

C0

Constant parameter coefficient

(Real)

C1

Constant parameter coefficient

(Real)

C2

Constant parameter coefficient

(Real)

C3

Constant parameter coefficient

(Real)

Pmin

Pressure cutoff ( < 0 )

Default = -1030  (Real)

Psh

Pressure shift

(Real)

C4

Energy coefficient

(Real)

 

C5

Energy coefficient

(Real)

 

E0

Initial energy per unit volume

(Real)

fail_energy

hmtoggle_plus1Example (Air)

#RADIOSS STARTER

/UNIT/1

unit for mat

                 kg                   m                   s

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

/MAT/HYDRO/4/1

AIR

#              RHO_I               RHO_0

                1.22                   0

#                Knu

              1.5E-5

#                 C0                  C1                  C2                  C3

                   0                   0                   0                   0

#               Pmin                 Psh

                   0              101320

#                 C4                  C5                  E0

                 0.4                 0.4              253300

/EULER/MAT/4

#     Modif. factor.

                   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.

Where, for no turbulence, Sij is the deviatoric stress tensor and is the deviatoric strain tensor.

2.Pressure is defined as:

with and E being the internal energy unit reference volume.

3.In case of a perfect gas:

 and

with being the perfect gas constant.

4.In case of an incompressible gas:

  and

with c being the sound speed.

5.In case of a linear material with a volumetric dilatation:

and

 

and

then:

 

 

If P = cst = 0, then l=; so

Where, is the dilatation coefficient, means dilatation, and in this case the parameters C2 and C3 will not be taken into account.

6.All thermal data () can be defined with keyword /HEAT.
7.If using Law 6 coupled with Law 37 for liquid phase (without gas phase), the compatibility of the liquid EOS is as follows:
for Law 37
for Law 6

 

with

 

then,

8.If using Law 6 coupled with Law 37 for gas phase (without liquid phase), the compatibility of the gas EOS is as follows:
PV = cst  for Law 37
for Law 6

 

with and

 

then,

Where, E is the energy per unit volume and e is the energy per unit mass.

See Also:

Material Compatibility

Law Compatibility with Failure Model

Example 43 - Perfect Gas Modeling with Polynomial EOS

/MAT/LAW6 in Theory Manual