50.3. Material Properties

The brain is modeled with Neo-Hookean hyperelasticity. The Neo-Hookean form of strain energy potential is given by:

where:

= strain energy per unit reference volume
= first deviatoric strain invariant
= initial shear modulus of the material
= material incompressibility parameter
= determinant of the deformation gradient

The following input defines Neo-Hookean hyperelasticity:

tb,hyper,1,,,NEO
tbdata,1,3000,0.005

The following input specifies isotropic brain permeability:

fpx=4.8e-8
tb,pm,1,,,perm
tbdata,1,fpx,fpx,fpx

The following input assignes a Biot coefficient of 1.0 to the brain:

tb,pm,1,,,biot
tbdata,1,1.0

Thermal effects are considered:

Brain Thermal Properties
Coefficient of thermal expansion (/ °C)4.14E-5
Density (kg/m-3)900
Thermal conductivity (W / °C)500
Specific heat (J / kg °C)3000

The thermal properties are assigned via the following input:

mp,alpx,1,4.14e-5
mp,reft,1,0
mp,dens,1,900
tb,therm,1,,,cond
tbdata,1,500
tb,therm,1,,,spht
tbdata,1,3000