The Hyperelastic Material subnode adds the equations for hyperelasticity at large strains. Hyperelastic materials can be suitable for modeling rubber and other polymers, biological tissue, and also for applications in acoustoelasticity. The
Hyperelastic Material is available in the Solid Mechanics, Layered Shell, and Membrane interfaces. This material model requires the Nonlinear Structural Materials Module.
By adding the following subnodes to the Hyperelastic Material node you can incorporate many other effects:
Select a hyperelastic Material model from the list and then go to the applicable section for more information.
All hyperelastic material models have density as an input. The default Density ρ uses values
From material. For
User defined enter another value or expression.
If any material in the model has a temperature dependent mass density, and From material is selected, the
Volume reference temperature list will appear in the
Model Input section. As a default, the value of
Tref is obtained from a
Common model input. You can also select
User defined to enter a value or expression for the reference temperature locally.
The default values for both Lamé parameter λ and
Lamé parameter μ use values
From material. If the
Nearly incompressible material option is selected from the
Compressibility list, enter the
Bulk modulus κ instead of the Lamé parameter
λ to define the volumetric strain energy density. If the
Incompressible material option is selected from the
Compressibility list, enter the Lamé parameter
μ only.
The default values for both Lamé parameter λ and
Lamé parameter μ use values
From material. If the
Incompressible material option is selected from the
Compressibility list, enter only the Lamé parameter
μ.
For Mooney-Rivlin, two-parameters the
Model parameters C10 and
C01 both use values
From material. If the
Nearly incompressible material option is selected from the
Compressibility list, enter the
Bulk modulus κ.
For Mooney-Rivlin, five-parameters the
Model parameters C10,
C01,
C20,
C02, and
C11 all use values
From material. If the
Nearly incompressible material option is selected from the
Compressibility list, enter the
Bulk modulus κ.
For Mooney-Rivlin, nine-parameters the
Model parameters C10,
C01, C20,
C02,
C11, C30,
C03,
C21, and
C12 all use values
From material. If the
Nearly incompressible material option is selected from the
Compressibility list, enter the
Bulk modulus κ.
For Yeoh the
Model parameters c1,
c2, and
c3 all use values
From material. If the
Nearly incompressible material option is selected from the
Compressibility list, enter the
Bulk modulus κ.
In the table for the Ogden parameters, enter values or expressions in each column:
p,
Shear modulus (Pa), and
Alpha parameter.
If the Nearly incompressible material option is selected from the
Compressibility list, enter the
Bulk modulus κ.
For Storakers, in the table for the
Storakers parameters, enter values or expressions in each column:
p,
Shear modulus (Pa),
Alpha parameter, and
Beta parameter.
For Varga the
Model parameters c1,
c2, and
c3 all use values
From material. If the
Nearly incompressible material option is selected from the
Compressibility list, enter the
Bulk modulus κ.
For Arruda-Boyce the default values for the
Macroscopic shear modulus μ0 and the
Number of segments N use values
From material. If the
Nearly incompressible material option is selected from the
Compressibility list, enter the
Bulk modulus κ.
For Gent the default values for the
Macroscopic shear modulus μ and the model parameter
jm is to use values
From material. If the
Nearly incompressible material option is selected from the
Compressibility list, enter the
Bulk modulus κ.
If Compressible material is selected from the
Compressibility list, enter an expression for the
Elastic strain energy density Ws.
If Incompressible material is selected, enter the
Isochoric strain energy density Wsiso only. An extra weak constrain is added to enforce the incompressibility condition
Jel = 1.
Select the Calculate dissipated energy check box to compute the energy dissipated by
Plasticity.