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Optimum Topology and Shape Design of an Interbody Fusion Implant for Lumbar Spine Fixation Andrés Tovar, Shawn E. Gano, John E. Renaud and James J. Mason. University of Notre Dame Department of Aerospace and Mechanical Engineering

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Presentation Transcript
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Optimum Topology and Shape Design of an Interbody Fusion Implant for Lumbar Spine FixationAndrés Tovar, Shawn E. Gano, John E. Renaud and James J. Mason

University of Notre DameDepartment of Aerospace and Mechanical Engineering

29th Design Automation Conference – International 2003 DETCSeptember 2-6, 2003 – Chicago, IL

DETC 2003 - Design of an Interbody Fusion Implant

content
Content
  • Lumbar Spine Fixation
  • Topology Optimization
  • Shape Optimization
  • Results and Conclusions

DETC 2003 - Design of an Interbody Fusion Implant

the spinal column
The Spinal Column

[http://www.spineuniverse.com]

DETC 2003 - Design of an Interbody Fusion Implant

disc problems
Disc Problems

[http://www.spineuniverse.com]

DETC 2003 - Design of an Interbody Fusion Implant

plif posterior lumbar interbody fusion
PLIF – Posterior Lumbar Interbody Fusion

Fusion with spinal instrumentation

[Virginia Spine Institute]

DETC 2003 - Design of an Interbody Fusion Implant

alif anterior lumbar interbody fusion
ALIF – Anterior Lumbar Interbody Fusion

Interbody cage fusion

[http://www.spineuniverse.com]

DETC 2003 - Design of an Interbody Fusion Implant

new fusion procedure
New fusion procedure

Implant

Bone Graft

DETC 2003 - Design of an Interbody Fusion Implant

design procedure
Design procedure
  • Topology optimization
  • Shape optimization

DETC 2003 - Design of an Interbody Fusion Implant

topology optimization
Topology optimization

Implant

Bone Graft

Design Domain

2064 design variables

[FEBM / GENESIS]

DETC 2003 - Design of an Interbody Fusion Implant

vertebra model
Vertebra model

Cancellous bone

Cortical bone

Cartilage

Design domain

[Goel and Weinstein, 2000]

DETC 2003 - Design of an Interbody Fusion Implant

load conditions
Load conditions
  • Flexion 15.0 Nm
  • Extension 5.0 Nm
  • Lateral bending 7.5 Nm
  • Compressive preload 400 N

[Rohlmann et al, 2001]

DETC 2003 - Design of an Interbody Fusion Implant

slide12

Lateral bending

Left & right

lateral bending

7.5 Nm

+

+

DETC 2003 - Design of an Interbody Fusion Implant

slide13

Flexion and extension

Flexion

15.0 Nm

Extension

5.0 Nm

+

+

DETC 2003 - Design of an Interbody Fusion Implant

the topology optimization problem
The topology optimization problem

DETC 2003 - Design of an Interbody Fusion Implant

the topology optimization problem1
The topology optimization problem

DETC 2003 - Design of an Interbody Fusion Implant

optimum topologies
Optimum topologies

DETC 2003 - Design of an Interbody Fusion Implant

spline approximation
Spline approximation

DETC 2003 - Design of an Interbody Fusion Implant

domains and perturbation vectors
Domains and perturbation vectors

18 domains

18 design variables

DETC 2003 - Design of an Interbody Fusion Implant

the shape optimization problem
The shape optimization problem

DETC 2003 - Design of an Interbody Fusion Implant

shape optimization
Shape optimization

Flexion

Left lateral bending

Extension

Right lateral bending

DETC 2003 - Design of an Interbody Fusion Implant

shape optimization1
Shape optimization

DETC 2003 - Design of an Interbody Fusion Implant

results
Results

Designs

Stress analysis

DETC 2003 - Design of an Interbody Fusion Implant

summary and conclusions
Summary and Conclusions
  • An optimum geometry for a new interbody fusion implant is obtained using topology and shape optimization.
  • The topology optimization minimizes strain energy subject to a mass fraction constraint.
  • The shape optimization minimizes mass subject to a maximum von Mises stress constraint (maximizes volume available for bone graft material).
  • A total volume fraction of 66% is available for the bone graft.

DETC 2003 - Design of an Interbody Fusion Implant

shape optimization2
Shape optimization

Flexion

Extension

Lateral bending

DETC 2003 - Design of an Interbody Fusion Implant

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