Bologna, E and Graziano, F and Deseri, L and Zingales, M
(2019)
Power-Laws hereditariness of biomimetic ceramics for cranioplasty neurosurgery.
International Journal of Non-Linear Mechanics, 115.
61 - 67.
ISSN 0020-7462
Abstract
We discuss the hereditary behavior of hydroxyapatite-based composites used for cranioplasty surgery in the context of material isotropy. We classify mixtures of collagen and hydroxiapatite composites as biomimetic ceramic composites with hereditary properties modeled by fractional-order calculus. We assume isotropy of the biomimetic ceramic is assumed and provide thermodynamic of restrictions for the material parameters. We exploit the proposed formulation of the fractional-order isotropic hereditariness further by means of a novel mechanical hierarchy corresponding exactly to the three-dimensional fractional-order constitutive model introduced.
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