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.
|Numero di pagine||7|
|Rivista||International Journal of Non-Linear Mechanics|
|Stato di pubblicazione||Published - 2019|
All Science Journal Classification (ASJC) codes
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics