1/23DETC 2003 - Design of an Interbody Fusion Implant Optimum Topology and Shape Design of an...
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DETC 2003 - Design of an Interbody Fusion Implant 1/23
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 DameDepartment of Aerospace and Mechanical Engineering
29th Design Automation Conference – International 2003 DETC September 2-6, 2003 – Chicago, IL
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DETC 2003 - Design of an Interbody Fusion Implant 2/23
Content
• Lumbar Spine Fixation
• Topology Optimization
• Shape Optimization
• Results and Conclusions
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DETC 2003 - Design of an Interbody Fusion Implant 3/23
The Spinal Column
[http://www.spineuniverse.com]
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DETC 2003 - Design of an Interbody Fusion Implant 4/23
Disc Problems
[http://www.spineuniverse.com]
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DETC 2003 - Design of an Interbody Fusion Implant 5/23
PLIF – Posterior Lumbar Interbody Fusion
Fusion with spinal instrumentation
[Virginia Spine Institute]
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DETC 2003 - Design of an Interbody Fusion Implant 6/23
ALIF – Anterior Lumbar Interbody Fusion
[http://www.spineuniverse.com]
Interbody cage fusion
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DETC 2003 - Design of an Interbody Fusion Implant 7/23
New fusion procedure
ImplantBone Graft
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DETC 2003 - Design of an Interbody Fusion Implant 8/23
Design procedure
•Topology optimization
•Shape optimization
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DETC 2003 - Design of an Interbody Fusion Implant 9/23
Topology optimization
ImplantBone Graft
2064 design variables
[FEBM / GENESIS]
Design Domain
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DETC 2003 - Design of an Interbody Fusion Implant 10/23
Vertebra model
Cortical boneCancellous bone
Cartilage
Design domain
[Goel and Weinstein, 2000]
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DETC 2003 - Design of an Interbody Fusion Implant 11/23
Load conditions
[Rohlmann et al, 2001]
• Flexion 15.0 Nm• Extension 5.0 Nm• Lateral bending 7.5 Nm• Compressive preload 400 N
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DETC 2003 - Design of an Interbody Fusion Implant 12/23
Lateral bending
+
+
Left & rightlateral bending
7.5 Nm
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DETC 2003 - Design of an Interbody Fusion Implant 13/23
Flexion and extension
+
+
Flexion15.0 Nm
Extension5.0 Nm
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DETC 2003 - Design of an Interbody Fusion Implant 14/23
The topology optimization problem
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DETC 2003 - Design of an Interbody Fusion Implant 15/23
The topology optimization problem
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DETC 2003 - Design of an Interbody Fusion Implant 16/23
Optimum topologies
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DETC 2003 - Design of an Interbody Fusion Implant 17/23
Spline approximation
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DETC 2003 - Design of an Interbody Fusion Implant 18/23
Domains and perturbation vectors
18 domains 18 design variables
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DETC 2003 - Design of an Interbody Fusion Implant 19/23
The shape optimization problem
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DETC 2003 - Design of an Interbody Fusion Implant 20/23
Shape optimization
Flexion
Extension
Left lateral bending
Right lateral bending
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DETC 2003 - Design of an Interbody Fusion Implant 21/23
Shape optimization
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DETC 2003 - Design of an Interbody Fusion Implant 22/23
Results
Stress analysis Designs
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DETC 2003 - Design of an Interbody Fusion Implant 23/23
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.
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Thank you
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DETC 2003 - Design of an Interbody Fusion Implant 25/23
Shape optimization
Flexion Extension Lateral bending