Finite element model for carbon nanotube-reinforced and graphene nanoplatelet-reinforced composite beams

2021 ◽  
Vol 264 ◽  
pp. 113739
Author(s):  
Armagan Karamanli ◽  
Thuc P. Vo
Keyword(s):  
Finite Element ◽  
Carbon Nanotube ◽  
Finite Element Model ◽  
Element Model ◽  
Composite Beams ◽  
Graphene Nanoplatelet ◽  
Reinforced Composite

Material Constants for a Finite Element Model of the Intervertebral Disk With a Fiber Composite Annulus

1986 ◽  
Vol 108 (1) ◽  
pp. 1-11 ◽  
Author(s):  
R. L. Spilker ◽  
D. M. Jakobs ◽  
A. B. Schultz
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Fiber Composite ◽  
Element Model ◽  
Intervertebral Disk ◽  
Material Constants ◽  
Reinforced Composite ◽  
Vertebral Bodies ◽  
Anisotropic Layers ◽  
Selection Of

A simple axisymmetric finite element model of a human spine segment containing two adjacent vertebrae and the intervening intervertebral disk was constructed. The model incorporated four substructures: one to represent each of the vertebral bodies, the annulus fibrosus, and the nucleus pulposus. A semi-analytic technique was used to maintain the computational economies of a two-dimensional analysis when nonaxisymmetric loads were imposed on the model. The annulus material was represented as a layered fiber-reinforced composite. This paper describes the selection of material constants to represent the anisotropic layers of the annulus. It shows that a single set of material constants can be chosen so that model predictions of gross disk behavior under compression, torsion, shear, and moment loading are in reasonable agreement with the mean and range of experimentally measured disk behaviors. It also examines the effects of varying annular material properties.

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