The complex modulus and elastic modulus of agarose gels (2% to 4%) are measured with a dynamic mechanical analyzer in frequency sweep shear sandwich mode between 0.1 and 20 Hz. The data showed that and increase with frequency according to a power law which can be described by a fractional derivative model to characterize the dynamic viscoelasticity of the gel. The functions between the model parameters including storage modulus coefficient and the power law exponent (β) and the agarose concentration are established. A molecular basis for the application of the fractional derivative model to gel polymers is also discussed. Such an approach can be useful in tissue culture studies employing dynamic pressurization or for validation of magnetic resonance elastography.
Dynamic Mechanical Properties of Agarose Gels Modeled by a Fractional Derivative Model
Contributed by the Bioengineering Division for publication in the JOURNAL OF BIOMECHANICAL ENGINEERING. Manuscript received by the Bioengineering Division March 23, 2003; revision received May 7, 2004. Associate Editor: M. Toner.
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Chen, Q., Suki, B., and An, K. (November 23, 2004). "Dynamic Mechanical Properties of Agarose Gels Modeled by a Fractional Derivative Model ." ASME. J Biomech Eng. October 2004; 126(5): 666–671. doi: https://doi.org/10.1115/1.1797991
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