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Directional constitutive formulation of fiber-distributed homogenized constrained mixtures

6 febbraio 2024
2:00 pm
San Francesco Complex - classroom 2

The orientation distribution of the reinforcing fibers in active tissues requires micromechanics governing principles. The present contribution generalizes the homogenized constrained mixture theory, proposing a theoretical framework that enables simple analytical solutions that help to understand the evolution of the fiber arrangements under uniaxial loading. The analysis suggests a natural tendency of the fiber distribution to form a peak in the direction of loading and a spread increasing with the ratio of the fiber half-life time and the time constant governing loading-related fiber production. A considerable history-dependence of the fiber distribution evolution is further observed, explaining why considerably different orientation distributions are experimentally measured.


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Alessio Gizzi, Università Campus Bio-Medico di Roma