Mathematical modelling of the spatial network of bone implants obtained by 3D-prototyping

In this paper, the mathematical model suitable for bone implants 3D-prototyping is proposed. The composite material with the spatial configuration of reinforcement with matrix of hydroxyapatite and titanium alloys fibers is considered. An octahedral cell is chosen as an elementary volume. The distri...

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Bibliographic Details
Main Authors: Shibaev, V. A., Berestova, S. A., Mityushov, E. A., Khlebnikov, N. A.
Format: Conference Proceeding
Language:English
Subjects:
Biocompatibility
Biomedical materials
Composite materials
Hydroxyapatite
Mathematical models
Matrix methods
Mechanical properties
Parameters
Protective coatings
Prototyping
Reinforcing fibers
Surgical implants
Three dimensional models
Titanium alloys
Titanium base alloys
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Summary:In this paper, the mathematical model suitable for bone implants 3D-prototyping is proposed. The composite material with the spatial configuration of reinforcement with matrix of hydroxyapatite and titanium alloys fibers is considered. An octahedral cell is chosen as an elementary volume. The distribution of reinforcing fibers is described by textural parameters. Textural parameters are integrated characteristics that summarize information on the direction of reinforcing fibers and their volume fractions. Textural parameters, properties of matrix and reinforcing fibers allow calculating effective physical and mechanical properties of the composite material. The impact of height and width of the octahedral reinforcement cells on textural parameters of the composite material is investigated in this work. The impact of radius of fibers is also analyzed. It is shown that the composite becomes quasi-isotropic under certain geometrical parameters of cell.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4967048