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Power-Laws hereditariness of biomimetic ceramics for cranioplasty neurosurgery

Bologna, E and Graziano, F and Deseri, L and Zingales, M (2019) Power-Laws hereditariness of biomimetic ceramics for cranioplasty neurosurgery. International Journal of Non-Linear Mechanics, 115. 61 - 67. ISSN 0020-7462

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Abstract

© 2019 Elsevier Ltd 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.


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Details

Item Type: Article
Status: Published
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Bologna, E
Graziano, F
Deseri, Ldeseri.mems@pitt.eduLUD7
Zingales, M
Date: 1 October 2019
Date Type: Publication
Journal or Publication Title: International Journal of Non-Linear Mechanics
Volume: 115
Page Range: 61 - 67
DOI or Unique Handle: 10.1016/j.ijnonlinmec.2019.01.008
Schools and Programs: Swanson School of Engineering > Mechanical Engineering and Materials Science
Refereed: Yes
ISSN: 0020-7462
Date Deposited: 05 Feb 2019 13:58
Last Modified: 22 May 2020 02:55
URI: http://d-scholarship.pitt.edu/id/eprint/35955

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