*CONCENTRATION TENSOR

Define the concentration tensor for an inclusion in the aggregate.

This option is used to define the concentration tensor, which is used to calculate the strain or temperature gradient in an inclusion (including the void) directly using the strain or temperature gradient of the aggregate. This option should appear immediately after the *CONSTITUENT option. If this option is defined in one of the *CONSTITUENT options, it must be defined in all nonmatrix type constituents.

This page discusses:

See Also
*CONSTITUENT
*MEAN FIELD HOMOGENIZATION
In Other Guides
Mean-Field Homogenization

ProductsAbaqus/Standard

TypeModel data

LevelModel

Optional parameters

DEPENDENCIES
Set this parameter equal to the number of field variable dependencies included in the definition of the concentration tensor. If this parameter is omitted, it is assumed that the concentration tensor is constant or depends only on the temperature.
TYPE

Set TYPE=CONDUCTIVITY to define the second-order conductivity concentration tensor used to calculate the temperature gradient in a constituent.

Set TYPE=STRAIN (default) to define the fourth-order strain concentration tensor used to calculate the strain in a constituent.

Data lines to define components of the second-order conductivity concentration tensor (TYPE=CONDUCTIVITY)

First line
  1. b11.
  2. b12.
  3. b13.
  4. b21.
  5. b22.
  6. b23.
  7. b31.
  8. b32.
Second line
  1. b33.
  2. Temperature.
  3. First field variable.
  4. Second field variable.
  5. Etc. up to six field variables.
Subsequent lines (only needed if the DEPENDENCIES parameter has a value greater than six)
  1. Seventh variable.
  2. Etc., up to eight field variables per line.

Repeat this set of data lines as often as necessary to define the conductivity concentration tensor as a function of temperature and other predefined field variables.

Data lines to define components of the fourth-order strain concentration tensor (TYPE=STRAIN)

First line
  1. B1111.
  2. B1122.
  3. B1133.
  4. B1112.
  5. B1113.
  6. B1123.
  7. B2211.
  8. B2222.
Second line
  1. B2233.
  2. B2212.
  3. B2213.
  4. B2223.
  5. B3311.
  6. B3322.
  7. B3333.
  8. B3312.
Third line
  1. B3313.
  2. B3323.
  3. B1211.
  4. B1222.
  5. B1233.
  6. B1212.
  7. B1213.
  8. B1223.
Fourth line
  1. B1311.
  2. B1322.
  3. B1333.
  4. B1312.
  5. B1313.
  6. B1323.
  7. B2311.
  8. B2322.
Fifth line
  1. B2333.
  2. B2312.
  3. B2313.
  4. B2323.
  5. Temperature.

  6. First field variable.

  7. Second field variable.

  8. Third field variable.

Subsequent lines (only needed if the DEPENDENCIES parameter has a value greater than three)
  1. Fourth field variable.
  2. Etc., up to eight field variables per line.

Repeat this set of data lines as often as necessary to define the strain concentration tensor as a function of temperature and other predefined field variables.