ProductsAbaqus/StandardAbaqus/Explicit
TypeModel data
LevelModel
Optional, mutually exclusive parameters
- ARRUDA-BOYCE
-
Include this parameter to use the Arruda-Boyce model, also known as the eight-chain model.
- MARLOW
-
Include this parameter to use the Marlow model.
- MOONEY-RIVLIN
-
Include this parameter to use the Mooney-Rivlin model. This method is equivalent to using the POLYNOMIAL parameter with N=1.
- NEO HOOKE
-
Include this parameter to use the neo-Hookean model. This method is equivalent to using the REDUCED POLYNOMIAL parameter with N=1.
- OGDEN
-
Include this parameter to use the Ogden strain energy potential.
- POLYNOMIAL
-
Include this parameter to use the polynomial strain energy potential. This method is the default method of defining the strain energy potential.
- REDUCED POLYNOMIAL
-
Include this parameter to use the reduced polynomial strain energy potential. This method is equivalent to using the POLYNOMIAL parameter with for .
- USER
-
This parameter applies only to Abaqus/Standard analyses.
Include this parameter if the derivatives of the strain energy potential with respect to the
strain invariants are defined in user subroutine UHYPER or if
the derivatives of the strain energy potential with respect to the
principal stretches are defined in user subroutine UHYPER_STRETCH.
-
VALANIS-LANDEL
-
This parameter applies only to Abaqus/Standard analyses.
Include this parameter to use the Valanis-Landel model.
- VAN DER WAALS
-
Include this parameter to use the Van der Waals model, also known as the Kilian model.
- YEOH
-
Include this parameter to use the Yeoh model. This method is equivalent to using the REDUCED POLYNOMIAL parameter with N=3.
Required parameters if the USER parameter
is included
-
FORMULATION
-
This parameter applies only to Abaqus/Standard analyses.
Set
FORMULATION=INVARIANT
(default) to indicate that the hyperelastic energy potential is
formulated in terms of invariants and is defined in user subroutine
UHYPER.
Set
FORMULATION=STRETCH
to indicate that the hyperelastic energy potential is formulated in
terms of the principal stretches and is defined in user subroutine UHYPER_STRETCH.
- TYPE
-
This parameter applies only to Abaqus/Standard analyses.
Set
TYPE=INCOMPRESSIBLE
to indicate that the hyperelastic material defined by UHYPER or by
UHYPER_STRETCH
is incompressible.
Set
TYPE=COMPRESSIBLE
to indicate that the hyperelastic material defined by UHYPER or by
UHYPER_STRETCH
is compressible.
Optional parameters
- BETA
-
This parameter can be used only when both the VAN DER WAALS and TEST DATA INPUT parameters are used; it defines the value of while the other coefficients of the Van der Waals model are fitted from the test data given by the user. If this parameter is omitted, will be determined from a nonlinear, least-squares fit of the test data. Allowable values of BETA are . It is recommended to set = 0 if only one type of test data is available.
- MODULI
-
This parameter is applicable only when the HYPERELASTIC option is used in conjunction with the VISCOELASTIC or the HYSTERESIS option.
Set
MODULI=INSTANTANEOUS
to indicate that the hyperelastic material constants define the
instantaneous behavior. This is the only option available if you define
the hyperelastic material in user subroutine UHYPER or user
subroutine UHYPER_STRETCH.
Set
MODULI=LONG TERM
to indicate that the hyperelastic material constants define the
long-term behavior. This option is not available when you define the
hyperelastic material in user subroutine UHYPER or user
subroutine UHYPER_STRETCH.
It is the default for all other hyperelastic models.
- N
-
This parameter can be used only with the OGDEN, POLYNOMIAL, and REDUCED POLYNOMIAL parameters. Include this parameter to define the order of the strain energy potential. The default is N=1.
If the TEST DATA INPUT parameter is used, the parameter N can take only the values 1 or 2 for the POLYNOMIAL form and up to 6 for the OGDEN and REDUCED POLYNOMIAL forms.
If the TEST DATA INPUT parameter is omitted, the maximum value of N is 6 for either form.
- POISSON
-
Set this parameter equal to the Poisson's ratio,
, to account for compressibility. This parameter cannot
be used if the material coefficients are specified directly or if
volumetric behavior is defined by entering nonzero values for
on the data line or by specifying the VOLUMETRIC TEST DATA
option. In addition, this parameter cannot be used for the Marlow model
or for the Valanis-Landel model if the nominal lateral strains are
specified on the UNIAXIAL TEST DATA,
BIAXIAL TEST DATA,
or PLANAR TEST DATA
option.
- PROPERTIES
-
This parameter applies only to Abaqus/Standard analyses.
This parameter can be used only if the USER
parameter is specified. Set this parameter equal to the number of
property values needed as data in user subroutine UHYPER or in
user subroutine
UHYPER_STRETCH. The
default value is 0.
- TEST DATA INPUT
-
Include this parameter if the material constants are to be computed by Abaqus from data taken from simple tests on a material specimen.
If this parameter is omitted, the material constants must be given directly on the data lines.
This parameter is not relevant for the Marlow model or the
Valanis-Landel model; for these models, the test data must be
specified.
To define the material behavior by giving test data
Alternative options for specifying test data rather than specifying relevant material
constants on the data lines of the HYPERELASTIC option are
applicable to all hyperelastic material models except the user-defined model. No
data lines are used with the HYPERELASTIC option when
the MARLOW,
VALANIS-LANDEL, or
TEST DATA INPUT parameter is
specified. In this case the test data are specified with the BIAXIAL TEST DATA, PLANAR TEST DATA, UNIAXIAL TEST DATA, and
VOLUMETRIC TEST DATA
options.
Data lines to define the material constants for the ARRUDA-BOYCE model
- First line
.
.
.
Temperature.
Repeat this data line as often as necessary to define the material constants as a function of temperature.
Data lines to define the material constants for the MOONEY-RIVLIN model
- First line
.
.
.
Temperature.
Repeat this data line as often as necessary to define the material constants as a function of temperature.
Data lines to define the material constants for the NEO HOOKE model
- First line
.
.
Temperature.
Repeat this data line as often as necessary to define the material constants as a function of temperature.
Data lines to define the material constants for the OGDEN strain energy potential
- First line if N=1
.
.
.
Temperature.
Repeat this data line as often as necessary to define the material constants as a function of temperature.
- First line if N=2
.
.
.
.
.
.
Temperature.
Repeat this data line as often as necessary to define the material constants as a function of temperature.
- First line if N=3
.
.
.
.
.
.
.
.
- Second line if N=3
.
Temperature.
Repeat this pair of data lines as often as necessary to define the material constants as a function of temperature.
- Data lines for higher values of N (up to 6)
The data lines for higher values of N follow the same pattern. First, give the and for i from 1 to N. Then, give the N coefficients . Finally, give the temperature. Exactly eight data values should be given on each line.
Data lines to define the material constants for the POLYNOMIAL strain energy potential
- First line if N=1
.
.
.
Temperature.
Repeat this data line as often as necessary to define the material constants as a function of temperature.
- First line if N=2
.
.
.
.
.
.
.
Temperature.
Repeat this data line as often as necessary to define the material constants as a function of temperature.
- First line if N=3
.
.
.
.
.
.
.
.
- Second line if N=3
.
.
.
.
Temperature.
Repeat this pair of data lines as often as necessary to define the material constants as a function of temperature.
- Data lines for higher values of N (up to 6)
The data lines for higher values of N follow the same pattern. For each value of from 1 to N, give the , with i decreasing from to zero and j increasing from zero to . Then, give the N coefficients . Finally, give the temperature. Exactly eight data values should be given on each line.
Data lines to define the material constants for the REDUCED POLYNOMIAL strain energy potential
- First line if N=1
.
.
Temperature.
Repeat this data line as often as necessary to define the material constants as a function of temperature.
- First line if N=2
.
.
.
.
Temperature.
Repeat this data line as often as necessary to define the material constants as a function of temperature.
- First line if N=3
.
.
.
.
.
.
Temperature.
Repeat this data line as often as necessary to define the material constants as a function of temperature.
- Data lines for higher values of N (up to 6)
The data lines for the higher values of N follow the same pattern. First, give the for from to . Then, give the N coefficients . Finally, give the temperature. Exactly eight data values should be given on each line.
Data lines to define the material properties for the USER hyperelasticity model
- No data lines are needed if the PROPERTIES parameter is omitted or set to 0. Otherwise, first line
Give the material properties, eight per line. If this option is used in conjunction with the VISCOELASTIC or HYSTERESIS option, the material properties must define the instantaneous behavior. If this option is used in conjunction with the MULLINS EFFECT option, the material properties must define the primary response.
Repeat this data line as often as necessary to define the material properties.
Data lines to define the material constants for the VAN DER WAALS model
- First line
.
.
.
.
.
Temperature.
Repeat this data line as often as necessary to define the material constants as a function of temperature.
Data lines to define the material constants for the YEOH model
- First line
.
.
.
.
.
.
Temperature.
Repeat this data line as often as necessary to define the material constants as a function of temperature.