10.3     Stress_Model: Hyperelasticity Model

 

HYPERELASTIC

 

 

            Material_name = HYPERELASTIC

                  Material_set_number = mset ,  etc...

 

 

            The following hyperelastic stored energy function with uncoupled volumetric and deviatoric parts is employed:

 

where

 

It follows that the Kirchhoff stress is given by:

 

 

Note    Variable Name              Type  Default   Description

 

Keywords Read Method

            Material_set_number   integer    [1]       Material set number  Numat

 

            Hyperelastic_case        integer    [0]       Hyperelastic free energy function:

                                                                               

                                                                               

 

            Mass_density                 real     [0.0]     Mass density

 

            Shear_modulus               real     [0.0]     Shear modulus G

 

            Bulk_modulus                real     [0.0]     Bulk modulus B

 

 (1)       Solid_mass_density       real     [0.0]     Mass density (Solid Phase)

 

 (1)       Fluid_mass_density       real     [0.0]     Mass density (Fluid Phase)

 

 (1)       Fluid_bulk_modulus      real     [0.0]     Fluid bulk modulus

 

 (1)       Porosity                          real     [0.0]     Porosity

 

 (2)       Initial_stress

                 initial_stress_11         real     [0.0]     Component 11 ()

                 initial_stress_22         real     [0.0]     Component 22 ()

 

 

 

(cont’d)

 

 

(cont'd)

 

Note    Variable Name              Type     Default       Description

 

                 initial_stress_33         real        [0.0]          Component 33 ()

                 initial_stress_33         real        [0.0]          Component 33 ()

                 initial_stress_12         real        [0.0]          Component 12 ()

                 initial_stress_12         real        [0.0]          Component 12 ()

                 initial_stress_23         real        [0.0]          Component 23 ()

                 initial_stress_31         real        [0.0]          Component 31 ()

 

List Read Method

            Material data must follow in the form:

                 < m, IHyper(m), G(m), B(m), (m), (m), (m), (m), Pf(m) >

                 < (Stres(i, m), i = 1, 6) >

                 < terminate with a blank record >.

 

 

Notes/

(1)        Only applicable to porous media models.

 

(2)        Tensile stresses are positive.