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 | |
| 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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