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.
Bologna E., Graziano F., Deseri L., Zingales M. (2019). Power-Laws hereditariness of biomimetic ceramics for cranioplasty neurosurgery. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 115, 61-67 [10.1016/j.ijnonlinmec.2019.01.008].
Power-Laws hereditariness of biomimetic ceramics for cranioplasty neurosurgery
Bologna E.Investigation
;Zingales M.
2019-01-01
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.File | Dimensione | Formato | |
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