Power-Laws hereditariness of biomimetic ceramics for cranioplasty neurosurgery

Massimiliano Zingales, Francesca Graziano, Emanuela Bologna, Massimiliano Zingales, Luca Deseri

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


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
Pages (from-to)61-67
Number of pages7
JournalInternational Journal of Non-Linear Mechanics
Publication statusPublished - 2019

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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