Power-Laws hereditariness of biomimetic ceramics for cranioplasty neurosurgery

E. Bologna; F. Graziano; L. Deseri; M. Zingales

doi:10.1016/j.ijnonlinmec.2019.01.008

Power-Laws hereditariness of biomimetic ceramics for cranioplasty neurosurgery

E. Bologna, F. Graziano, L. Deseri, M. Zingales

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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.

Original language	English (US)
Pages (from-to)	61-67
Number of pages	7
Journal	International Journal of Non-Linear Mechanics
Volume	115
DOIs	https://doi.org/10.1016/j.ijnonlinmec.2019.01.008
State	Published - Oct 2019

Keywords

Biomimetic materials
Cranioplasty
Fractional calculus
Isotropic hereditariness
Power-law hereditariness

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/j.ijnonlinmec.2019.01.008

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title = "Power-Laws hereditariness of biomimetic ceramics for cranioplasty neurosurgery",

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.",

keywords = "Biomimetic materials, Cranioplasty, Fractional calculus, Isotropic hereditariness, Power-law hereditariness",

author = "E. Bologna and F. Graziano and L. Deseri and M. Zingales",

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year = "2019",

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doi = "10.1016/j.ijnonlinmec.2019.01.008",

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T1 - Power-Laws hereditariness of biomimetic ceramics for cranioplasty neurosurgery

AU - Bologna, E.

AU - Graziano, F.

AU - Deseri, L.

AU - Zingales, M.

PY - 2019/10

Y1 - 2019/10

N2 - 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.

AB - 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.

KW - Biomimetic materials

KW - Cranioplasty

KW - Fractional calculus

KW - Isotropic hereditariness

KW - Power-law hereditariness

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M3 - Article

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JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

SN - 0020-7462

ER -

Power-Laws hereditariness of biomimetic ceramics for cranioplasty neurosurgery

Abstract

Keywords

ASJC Scopus subject areas

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