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/MAT/LAW28 (HONEYCOMB)

/MAT/LAW28 (HONEYCOMB)

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/MAT/LAW28 (HONEYCOMB)

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/MAT/LAW28 - Three dimensional Orthotropic Nonlinear Elasto-plastic fully Compressible Material

Description

This law describes a three dimensional nonlinear elasto-plastic material, usually used to model honeycomb or foam material. Nonlinear elasto-plastic behavior can be specified for each othrotropic direction and shear as function of strain or volumetric strain. All degrees of freedom are uncoupled and the material is fully compressible. Tension and shear strain based failure criteria can be specified.

Format

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/MAT/LAW28/mat_ID/unit_ID or /MAT/HONEYCOMB/mat_ID/unit_ID

mat_title

 

 

 

 

 

 

 

 

E11

E22

E33

 

 

 

 

G12

G23

G31

 

 

 

 

fct_ID11

fct_ID22

fct_ID33

Iflag1

Fscale11

Fscale22

Fscale33

E1max11

E1max22

E1max33

 

 

 

 

fct_ID12

fct_ID23

fct_ID31

Iflag2

Fscale12

Fscale23

Fscale31

E1max12

E1max23

E1max31

 

 

 

 

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 material density

(Real)

symbol_kg

E11

Young’s modulus in orthotropic dimension 1

(Real)

E22

Young’s modulus in orthotropic dimension 2

(Real)

E33

Young’s modulus in orthotropic dimension 3

(Real)

G12

Shear modulus in direction 12

(Re

G23

Shear modulus in direction 23

(Real)

G31

Shear modulus in direction 31

(Real)

fct_ID11

Yield stress function identifier in direction 11

(Integer)

 

fct_ID22

Yield stress function identifier in direction 22

(Integer)

 

fct_ID33

Yield stress function identifier in direction 33

(Integer)

 

Iflag1

Strain formulation for yield functions 11, 22, and 33 (Comment 6)

Default = 0 (Integer)

= 0: yield stress is a function of symbol_u (volumetric strains)

=1: yield stress is a function of E1 (strains)

= -1: yield stress is a function of - E1.

 

Fscale11

Scale factor for yield stress function 11

Default = 1.0  (Real)

Fscale22

Scale factor for yield stress function 22

Default = 1.0  (Real)

Fscale33

Scale factor for yield stress function 33

Default = 1.0  (Real)

E1max11

Failure strain in tension in direction 11

(Real)

 

E1max22

Failure strain in tension in direction 22

(Real)

 

E1max33

Failure strain in tension in direction 33

(Real)

 

fct_ID12

Shear yield stress function identifier in direction 12

(Integer)

 

fct_ID23

Shear yield stress function identifier in direction 23

(Integer)

 

fct_ID31

Shear yield stress function identifier in direction 31

(Integer)

 

Iflag2

Strain formulation for shear yield functions 12, 23, and 31

Default = 0 (Integer)

= 0: yield stress is a function of symbol_u (volumetric strains)

=1: yield stress is a function of E1 (strains)

= -1: yield stress is a function of - E1.

 

Fscale12

Scale factor for shear yield function 12

Default = 1.0  (Real)

Fscale23

Scale factor for shear yield function 23

Default = 1.0  (Real)

Fscale31

Scale factor for shear yield function 31

Default = 1.0  (Real)

E1max12

Failure strain in shear direction 12

(Real)

 

E1max23

Failure strain in shear direction 23

(Real)

 

E1max31

Failure strain in shear direction 31

(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/HONEYCOMB/1/1

Steel

#              RHO_I

              7.8E-9

#               E_11                E_22                E_33

              200000              200000              200000

#               G_12                G_23                G_31

              100000              100000              100000

# fct_ID11  fct_ID22  fct_ID33    Iflag1            Fscale11            Fscale22            Fscale33

         1         1         1         0                   0                   0                   0

#          Eps_max11           Eps_max22           Eps_max33

                   0                   0                   0

# fct_ID12  fct_ID23  fct_ID31    Iflag2            Fscale12            Fscale23            Fscale31

         2         2         2         0                   0                   0                   0

#          Eps_max12           Eps_max23           Eps_max31

                   0                   0                   0

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

#-  3. FUNCTIONS:

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

/FUNCT/1

FUNCTION: 1

#                  X                   Y

                   0                 200

                  .5                 200

                 1.5              200000

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

/FUNCT/2

FUNCTION: 2

#                  X                   Y

                   0                 100

                  .5                 100

                 1.5              100000

#---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.This material law requires solid orthotropic property /PROP/TYPE6. Material is compatible with hexa and tetra elements, including 10-node tetrahedron elements. Refer to Material Compatibility for more compatibility information.
2.Material orthotropic coordinate system for each element (directions 1, 2, and 3) are specified in the property card /PROP/TYPE6 either through a given skew system or related to element coordinate system.

law28

3.All element degrees of freedom are fully uncoupled:

Elastic case example:

law28_comment

4.For each tension/compression and shear direction, the true stress as function of a true volumetric strain "mu", or a true strain "eps" can be specified.

Sign conventions for strain are:

clip066

The stress values should always be positive. The following sign conventions for strain are used:

Strain Definition

Compression

Tension

Volumetric strain
(Iflag1 =0)

+

-

Strain
(Iflag1 =1)

-

+

Strain
(Iflag1 =-1)

+

-

5.For large strain formulations (Isolid > 1):

     

For small strains (Isolid = 1):

     

Where, l0 is the initial length.

6.When switching from a volumetric strain formulation to a strain formulation, Iflag1 = -1 or Iflag2 = -1 allows the same function definition to be retained.
7.If one of the tension strain or shear strain failures is reached, the element is deleted.

See Also:

Material Compatibility

Law Compatibility with Failure Model

/MAT/LAW28 in Theory Manual