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The elastic moduli are allowed to be arbitrary functions of the radius r.
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Frequency sweep (0.01 100 Hz at 10% strain) experiment was performed to determine both the storage (G′) and loss (G″) moduli of the samples after they were allowed to cure overnight.
The sample was allowed one hour to polymerize before measuring the dynamic viscoelastic moduli.
After formation, these gels were allowed to equilibrate overnight in phosphate buffered saline (PBS) upon which rheological frequency sweep experiments were conducted to determine the shear elastic moduli of the constructs.
These two elastic moduli are not equal since (1.10).
Thus, our calculated values of elastic moduli are justified.
Their specific consistent tangent stiffness moduli are also developed.
The measured Young's moduli are in good agreement with the moduli predicted from the Bergström Boybce model.
The influence of these moduli are depicted in the upper row of Fig. 1, The larger the moduli the more difficult it is to deform the material in response to the applied stresses indicated by the arrows.
The calculated storage moduli and loss moduli are shown in Fig. 11.
The shear moduli are defined as functions of the RVs representing the respective Young's moduli and Poisson ratios.
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