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University of Notre Dame Department of Aerospace and Mechanical Engineering

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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University of Notre Dame Department of Aerospace and Mechanical Engineering

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  1. 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

  2. Content • Lumbar Spine Fixation • Topology Optimization • Shape Optimization • Results and Conclusions DETC 2003 - Design of an Interbody Fusion Implant

  3. The Spinal Column [http://www.spineuniverse.com] DETC 2003 - Design of an Interbody Fusion Implant

  4. Disc Problems [http://www.spineuniverse.com] DETC 2003 - Design of an Interbody Fusion Implant

  5. PLIF – Posterior Lumbar Interbody Fusion Fusion with spinal instrumentation [Virginia Spine Institute] DETC 2003 - Design of an Interbody Fusion Implant

  6. ALIF – Anterior Lumbar Interbody Fusion Interbody cage fusion [http://www.spineuniverse.com] DETC 2003 - Design of an Interbody Fusion Implant

  7. New fusion procedure Implant Bone Graft DETC 2003 - Design of an Interbody Fusion Implant

  8. Design procedure • Topology optimization • Shape optimization DETC 2003 - Design of an Interbody Fusion Implant

  9. Topology optimization Implant Bone Graft Design Domain 2064 design variables [FEBM / GENESIS] DETC 2003 - Design of an Interbody Fusion Implant

  10. Vertebra model Cancellous bone Cortical bone Cartilage Design domain [Goel and Weinstein, 2000] DETC 2003 - Design of an Interbody Fusion Implant

  11. 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

  12. Lateral bending Left & right lateral bending 7.5 Nm + + DETC 2003 - Design of an Interbody Fusion Implant

  13. Flexion and extension Flexion 15.0 Nm Extension 5.0 Nm + + DETC 2003 - Design of an Interbody Fusion Implant

  14. The topology optimization problem DETC 2003 - Design of an Interbody Fusion Implant

  15. The topology optimization problem DETC 2003 - Design of an Interbody Fusion Implant

  16. Optimum topologies DETC 2003 - Design of an Interbody Fusion Implant

  17. Spline approximation DETC 2003 - Design of an Interbody Fusion Implant

  18. Domains and perturbation vectors 18 domains 18 design variables DETC 2003 - Design of an Interbody Fusion Implant

  19. The shape optimization problem DETC 2003 - Design of an Interbody Fusion Implant

  20. Shape optimization Flexion Left lateral bending Extension Right lateral bending DETC 2003 - Design of an Interbody Fusion Implant

  21. Shape optimization DETC 2003 - Design of an Interbody Fusion Implant

  22. Results Designs Stress analysis DETC 2003 - Design of an Interbody Fusion Implant

  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. DETC 2003 - Design of an Interbody Fusion Implant

  24. Thank you

  25. Shape optimization Flexion Extension Lateral bending DETC 2003 - Design of an Interbody Fusion Implant

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