<HYPERELASTICITY> fung#
Description#
This model implements a Fung-type anisotropic hyperelastic behavior
[M17] including an additional coefficient for
compressibility treatment. The coefficients for the hyperelastic law are
declared under **hyperelasticity fung
.
Hyperelastic behavior here defines the strain energy density with the following form:
where
with c
, K0
are
the three material coefficients. K0
represents the Bulk modulus, while c
is a
material constant.
This model of strain energy is classically used for very large strain biomechanics-related problems.
Syntax#
**hyperelasticity fung
**model_coef
c
COEFFICIENT
K0
COEFFICIENT
*b orthortropic
y1111
COEFFICIENT
y1122
COEFFICIENT
y2222
COEFFICIENT
y1133
COEFFICIENT
y2233
COEFFICIENT
y3333
COEFFICIENT
y2323
COEFFICIENT
y3131
COEFFICIENT
y1212
COEFFICIENT
Example#
The following is a simple example of the hyperelastic Fung-type model 1The model parameters have been taken from [M18]:
***behavior hyper_elastic
**hyperelasticity fung
**model_coef
c 26.95e-1
K0 1000.
*b orthotropic
y1111 0.0089
y1122 0.0193
y2222 0.4180
y1133 0.0295
y2233 0.0749
y3333 0.9925
y2323 0.5
y3131 0.5
y1212 0.5
***return