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4.16.2 Damage Fiber Exponential
The material type for Damage Fiber Exponential is “damage fiber exponential”. The following material parameters must be defined:
| <k1> | Parameter ( | [M] |
| <k2> | Parameter ( | [ ] |
| <kappa> | Parameter ( | [ ] |
with the scalar damage variable (defined in section 4.16↑).
The strain-energy function is given by,
and
where possible functions of are given by
, , , ,
( ),
where denotes the direction of the fibers.
So that,
.
The Cauchy stress then takes on the following form,
.
Example:
<solid type="damage fiber exponential">
<k1>1288.97</k1>
<k2>400</k2>
<kappa>0.2</kappa>
<t0>0.9</t0>
<Dmax>0.99</Dmax>
<beta_s>0.001</beta_s>
<gamma_max>6.67</gamma_max>
<fiber type="angles">
<theta>-54.94</theta>
<phi>90</phi>
</fiber>
</solid>