*VISCOELASTIC
Specify dissipative behavior for use with elasticity.

This option is used to generalize a material's elastic response to include viscoelasticity. The viscoelasticity can be defined as a function of frequency for steady-state small-vibration analyses or as a function of reduced time for time-dependent analyses.

Products: ABAQUS/Standard  ABAQUS/Explicit  

Type: Model data

Level: Model  

References:

Required, mutually exclusive parameters: 

FREQUENCY

This parameter applies only to ABAQUS/Standard analyses.

Use this parameter to choose the frequency domain definition. In this case the material's long-term elasticity must be defined using the *ELASTIC or the *HYPERELASTIC option.

Set FREQUENCY=CREEP TEST DATA to define the frequency domain response using a Prony series representation of the relaxation moduli, if the Prony series parameters are to be computed from shear and volumetric creep test data.

Set FREQUENCY=FORMULA to define the dissipative material parameters by the power law formulæ.

Set FREQUENCY=PRONY to define the frequency domain response using a Prony series representation of the relaxation moduli by specifying the Prony series parameters.

Set FREQUENCY=RELAXATION TEST DATA to define the frequency domain response using a Prony series representation of the relaxation moduli, if the Prony series parameters are to be computed from shear and volumetric relaxation test data.

Set FREQUENCY=TABULAR to provide tabular definition of the frequency domain response.

TIME

Use this parameter to choose the time domain definition. In this case the material's elasticity must be defined using the *ELASTIC, the *HYPERELASTIC, or the *HYPERFOAM option.

Set TIME=CREEP TEST DATA if the Prony series parameters are to be computed by ABAQUS from data taken from shear and volumetric creep tests.

Set TIME=FREQUENCY DATA if the Prony series parameters are to be computed by ABAQUS from frequency-dependent cyclic test data.

Set TIME=PRONY to define a linear, isotropic, viscoelastic material by giving the parameters of the Prony series representation of the relaxation moduli.

Set TIME=RELAXATION TEST DATA if the Prony series parameters are to be computed by ABAQUS from data taken from shear and volumetric relaxation tests.

Optional parameters when test data are given to define time domain viscoelasticity with TIME=CREEP TEST DATA or TIME=RELAXATION TEST DATA or when test data are given to define frequency domain viscoelasticity with FREQUENCY=PRONY, FREQUENCY=CREEP TEST DATA, or FREQUENCY=RELAXATION TEST DATA

ERRTOL

Set this parameter equal to the allowable average root-mean-square error of the data points in the least-squares fit. The default is 0.01 (1%).

NMAX

Set this parameter equal to the maximum number of terms in the Prony series. ABAQUS will perform the least-squares fit from to NMAX until convergence is achieved for the lowest with respect to ERRTOL. The default and maximum value is 13.

Data line for FREQUENCY=FORMULA

First (and only) line:

  1. Real part of

  2. Imaginary part of .

  3. Value of .

  4. Real part of If the material is incompressible, this value is ignored.

  5. Imaginary part of . If the material is incompressible, this value is ignored.

  6. Value of . If the material is incompressible, this value is ignored.

Data lines for FREQUENCY=TABULAR or TIME=FREQUENCY DATA: 

First line:

  1. Real part of

  2. Imaginary part of

  3. Real part of If the material is incompressible, this value is ignored.

  4. Imaginary part of  If the material is incompressible, this value is ignored.

  5. Frequency in cycles per time.

Repeat this data line as often as necessary to define the dissipative part of the material behavior.

Data lines to specify the Prony series parameters directly using TIME=PRONY or FREQUENCY=PRONY

First line:

  1. , the modulus ratio in the first term in the Prony series expansion of the shear relaxation modulus.

  2. , the modulus ratio in the first term in the Prony series expansion of the bulk relaxation modulus.

  3. , the relaxation time for the first term in the Prony series expansion.

Repeat this data line as often as necessary to define the second, third, etc. terms in the Prony series. There is no restriction on the number of terms in the Prony series.

To specify viscoelastic behavior via test data: 

No data lines are used with this option when either TIME=CREEP TEST DATA or TIME=RELAXATION TEST DATA is specified. The test data are given by the *SHEAR TEST DATA and the *VOLUMETRIC TEST DATA options or by the *COMBINED TEST DATA option.