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CAD Project
Presenter : Dr. Dennis C Thomas
Guide : Dr. Arghya Deb sir
Acknowledgement
Our sincere thanks to :
Dr. Arghya Deb sir
CAD Lab Teaching Assistants
COMPUTATIONAL MODELLING OF
INTERVERTEBRAL DISC USING ABAQUS
• Our project is to replicate a published research
paper by J.S Tan et al .
• In this research paper , the lumbar segment
was modelled using abaqus and the reaction
to compressive forces and tortional forces
studied .
AIM OF OUR PROJECT
• Is to create a model of the intervetebral disc
and study its reaction to compressive forces.
• We have to plot the compressive force and the
axial displacement and verify if it matches
with the findings of other research papers
The findings of other research papers
Ref : Research paper by J.S Tanh et al
# X Y # X Y # X Y
1. 0 20 7. 15.56 17.58 13. 22.5 6.66
2. 2.73 20 8. 18.22 15.79 14. 22.5 5.0
3. 5.89 19.74 9. 20 13.5 15. 21.25 27
4. 10 19 10. 21.07 12.02 16. 20 1.25
5. 12.77 18.5 11. 21.8 10 17. 15 0
6. 14.14 17.56 12. 22.25 8.75 18. 0 0
The Nucleus Pulposus as Core was created using the
Following Co-ordinates as Approximates
Creation of Parts
• Nucleus Pulposus
• Annulus Fibrosis: Ground
subtance and Collagen layers
• 3 Collagen Layers in this case
• Two End Plates
• Upper and Lower Vertebra
Annulus Fibrosis
Nucleus Pulposus
Vertebra
Collagen Layers
Assigning of Material Property
Collagen Endplates Ground Substance
Density Density Density
1000 1080 1000
Elastic Elastic Elastic
Young’s Modulus 45 Young’s Modulus 23.8 Young’s Modulus 4
Poissons Ratio 0.4 Poissons Ratio 0.4 Poissons Ratio 0.4
Assigning of Sections
Section 2 :Membrane
(The thickness to be mentioned)
Creation of Step using Dynamic Explicit
Method:: Time period = 1
History outputs
• 1 ) Integrated forces acting on a surface . The
surface was chosen : The upper surface of the
upper endplate.
• 2) Displacements of a node on the upper
vertebra
Assembly of all Parts and Instant
Creation (Mesh Dependent parts)
Interactions
• Interactions between
• Endplates and Nucleus pulposus
• Endplates and The Annulus Fibrosis
Interaction – 1
Interaction - 2
Interaction - 3
Interaction - 4
Constraints
• Vertebra as Rigid Body
• Collagen shells embedded onto the Ground
Substance of Annulus Fibrosis
• Tying of Endplates to the Vertebrae
• Annulus Fibrosis being tied to the Nucleus
Pulposus
Constraint – 1 & 2
Constraint 3
Constraints 4&5
Constraint 6
Boundary Conditions
• For Upper and Lower Vertebrae
Boundary Condition 1
Boundary Condition 2
Meshing of Rigid Body and Rest of the
Structures
The job was run and the results
obtained
• The history outputs namely
• The Force acting on our integrated surface
• The Displacement of our Node (on the
vertebral body) were plotted
• These two plots were saved in the X-Y Data .
Using the option of combine (x,x) :
• The two plots were merged to give the plot
between Compressive force and Axial
displacement
Graph between time and displacement
X axis: Time
Y axis: Displacement (in mm)
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0. 7 0.8 0.9 1.0
Graph between Compressive force and
axial displacement
X Axis: Axial displacement (in mm)
Y Axis: Axial Compressive Force
Graph between Compressive force and
axial displacement
X Axis: Axial displacement (in mm)
Y Axis: Axial Compressive Force ( in 1*E3)
CONCLUSION
Other research papers Our model
Conclusion
• The plot of the compressive force with the
axial displacement was studied .
• It was found that the nucleus pulposus and
the annulus do play an important role .
• The graph obtained is comparable to other
researchers findings .
THANK YOU

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finite element analysis of vertebral body