Stress transduction chain

The fractal dimension D is used to quantify the micro structure of the fat crystal networks, where d is the Euclidean dimension, x is the backbone fractal dimension that is estimated between 1 and 1.3. The backbone fractal dimension describes the tortuosity of the effective chain of stress transduction within a cluster of particles yielding under an externally applied stress (Shih et al. 1990 Kantor and Webman 1984). 

Shih et al. (1) proposed that this expression could be used to represent the force constant of an entire fractal floe. The assumption made is that the elastic properties of the floe are given by an effective backbone of stress transduction—a tortuous long chain of particles within the floe. Shih et al. (1) thus modified Kantor... 

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