Power-Laws hereditariness of biomimetic ceramics for cranioplasty neurosurgery

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

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


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 languageEnglish (US)
Pages (from-to)61-67
Number of pages7
JournalInternational Journal of Non-Linear Mechanics
StatePublished - Oct 2019


  • 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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