HyperWorks Solvers

/MAT/LAW26 (SESAM)

/MAT/LAW26 (SESAM)

 Previous topic Next topic Expand/collapse all hidden text  

/MAT/LAW26 (SESAM)

 Previous topic Next topic JavaScript is required for expanding text JavaScript is required for the print function  

Block Format Keyword

/MAT/LAW26 - SESAME-Johnson-Cook Material

Description

This ALE material law describes a SESAME tabular EOS, used with a Johnson-Cook yield criterion. SESAME EOS covers a wide range of phases including solids, fluids and high temperature/high density plasmas, and the well-known transitions between these various phases. It requires SESAME tables, which were developed at Los Alamos National Laboratory in USA.

Format

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

/MAT/LAW26/mat_ID or /MAT/SESAM/mat_ID

mat_title

 

 

 

 

 

 

E

 

 

 

 

 

 

a

b

n

symbol_max_stress

E0

 

 

 

 

 

 

 

 

SESAM301

c

symbol_e_dot_0

m

Tmelt

Tmax

 

If thermal effects are taken into account (otherwise must keep the following blank):

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

SESAM505

KLOR

symbol_exp

A

Kmax

 

 

SESAM502

symbol

 

 

 

 

 

 

 
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)

symbol_Pa

Poisson’s ratio

(Real)

 

a

Plasticity yield stress

(Real)

symbol_Pa

b

Hardening hardening parameter

(Real)

 

n

Plasticity hardening exponent (must be < 1)

Default = 1.0  (Real)

 

Failure plastic strain

(Real)

 

symbol_max_stress

Maximum stress

(Real)

symbol_Pa

E0

Initial energy per unit volume

(Real)

symbol_Pa

SESAM301

File name of the SESAME EOS table (301)

(Character, maximum 100 characters)

 

c

Strain rate coefficient

Default = 0.00  (Real)

= 0: no strain rate effect

 

symbol_e_dot_0

Reference strain rate

Default = 10-06  (Real)

fail_johnson

m

Temperature exponent

Default = 1.00  (Real)

 

Tmelt

Melting temperature

Default = 1030  (Real)

= 0: no temperature affect

fail_tab_temp

Tmax

Maximum temperature

for T > Tmax: m = 1 is used

(Real)

[L]

SESAM505

File name of the SESAME table (504)

(Character, maximum 100 characters)

 

KLOR

Lorentz conductivity

Default = 1.6833x10-9 (Real)

symbol_J_m_s_K

symbol_exp

Lamda

Default = 8.3x106 (Real)

symbol_m_K

A

Atomic weight

(Real)

symbol_kg_mole

Kmax

Maximum conductivity

(Real)

symbol_J_msK

SESAM502

File name of the SESAME table (502)

(Character, maximum 100 characters)

 

symbol

Stefan-Boltzman constant (equal to 5.6697x10-8)

(Real)

symbol_m-2_K-4
hmtoggle_plus1Example (Water)

#RADIOSS STARTER

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

#-  2. MATERIALS:

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

/MAT/LAW26/1

WATER - 560 K - 130 bars - Initially Liquid - Without Plastic Behavior (Unit: kg-mm-ms)

#              RHO_I

              .00074

#                  E                  NU

             1.0E-20                 0.0

#                  a                   b                  n             EPSP_MAX             SIG_MAX

             1.0E+20                 0.0                0.0                  0.0                 0.0

#                 E0

               740.0

# SESAM301 TABLE

sesam--water_301.dat

#                  c           EPS_DOT_0                  m               T_MELT               T_MAX

                 0.0                 0.0                0.0                  0.0                 0.0

# SESAM505 TABLE

sesam--water_505.dat

#                XKL               XLAMB               ATOM                XKMAX

                 0.0                 0.0                0.0                  0.0

# SESAM502 TABLE

sesam--water_502.dat

#                SIG

                 0.0

#---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.The thermal conductivity flux is:

Where, Ke is the thermal conductivity and KL is the conductivity for a Lorentz gas.

With:

 and

KLOR (Lorentz conductivity) is:

LAMBDA depends of the electronic temperature (Te), the electronic density (ne) and the coefficient symbol_exp:

Where,

A is the atomic weight

NA is the Avogadro number NA = 6.0225 x 1023

Z is the atomic number obtained from the SESAME EOS table 504

is the density

Te  is the electronic temperature obtained from the SESAME table

2.The thermal radiation flux is:

With:

Where, symbol is the Stefan-Boltzmann constant and LR is the Rosseland mean length obtained from the SESAME tables.

Tr (equivalent to T): Radiation temperature is obtained from the SESAME tables.

3.Files SESAM301, SESAM505, and SESAM502 are tabulated equations from analytical model selected to describe material state in different states. Most of SESAME tables are double entry tables (two variable functions). These tabulated EOS provide pressure and energy in function of density and temperature. Tables are interpolated in both directions. With RADIOSS the two variables are density and specific energy.
4./EOS/SESAM is able to handle SESAME tabulated EOS. This present material law also take into account Johnson-Cook yield criteria and conductive/radiative transports in potential plasma.

See Also:

Material Compatibility