Power-Laws hereditariness of biomimetic ceramics for cranioplasty neurosurgery

被引：10
作者：
Bologna, E. [1 ,2 ]
Graziano, F. [3 ]
Deseri, L. [4 ]
Zingales, M. [1 ,2 ]
机构：
[1] Dipartimento Ingn Civile Ambientale Aerosp Mat, Viale Sci,Ed 8, I-90100 Palermo, Italy
[2] Adv Technol Network ATeN Ctr, Bio NanoMech Med Sci Lab BNM2 Lab, CHAB Pole, Viale Sci,Ed 18, I-90128 Palermo, Italy
[3] Policlin P Giaccone, Via Vespro, Palermo, Italy
[4] Univ Trento, Dept Civil Environm & Mech Engineer, DICAM, Via Mesiano 77, I-38123 Trento, Italy
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2019年 / 115卷
关键词：
Biomimetic materials; Cranioplasty; Fractional calculus; Power-law hereditariness; Isotropic hereditariness; THERMODYNAMICS; RESTRICTIONS; RELAXATION; SYSTEMS; MODEL;
D O I：
10.1016/j.ijnonlinmec.2019.01.008
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
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.
引用
收藏
页码：61 / 67
页数：7
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