Gelatin
is a popular material for the creation of tissue phantoms
due to its ease-of-use, safety, low relative cost, and its amenability
to tuning physical properties through the use of additives. One difficulty
that arises when using gelatin, especially in low concentrations,
is the brittleness of the material. In this paper, we show that small
additions of another common biological polymer, sodium alginate, significantly
increase the toughness of gelatin without changing the Young’s
modulus or other low-strain stress relaxation properties of the material.
Samples were characterized using ramp-hold stress relaxation tests.
The experimental data from these tests were then fit to the Generalized
Maxwell (GM) model, as well as two models based on a fractional calculus
approach: the Kelvin–Voigt Fractional Derivative (KVFD) and
Fractional Maxwell (FM) models. We found that for our samples, the
fractional models provided better fits with fewer parameters, and
at strains within the linear elastic region, the linear viscoelastic
parameters of the alginate/gelatin and pure gelatin samples were essentially
indistinguishable. When the
same ramp-hold stress relaxation experiments were run at high strains
outside of the linear elastic region, we observed a shift in stress
relaxation to shorter time scales with increasing sodium alginate
addition, which may be associated with an increase in fluidity within
the gelatin matrix. This leads us to believe that sodium alginate
acts to enhance the viscosity within the fluidic region of the gelatin
matrix, providing additional energy dissipation without raising the
modulus of the material. These results are applicable to anyone desiring
independent control of the Young’s modulus and toughness in
preparing tissue phantoms, and suggest that sodium alginate should
be added to low-modulus gelatin for use in biological and medical
testing applications.