Three Dimensional Shape Optimum Design ofImplant for Dentistry by Multilevel Response

Shapes of Commercial Implant

Implant and Mandible Model , Load and Boundary Condition

Mesh Study

What is Implant

Implant

CancellousBone

Cortical Bone

Artificial Teeth

Mucoperisteum

Implant

CancellousBone

Cortical Bone

Artificial Teeth

Mucoperisteum

BRANEMARK ANKYLOS BIOHORIZONS ITI

(a)BRANEMARK (b) ANKYLOS (c)BIOHORIZONS (d)ITI (e)ASTRA

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Classical Optimization Method :

Gradient Based Optimization Problem (SQP, SLP, etc)

Large number of design variables : Inefficient, Local Minimum

->> Cost Increase

General Optimization Problem

Multilevel Optimization

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4

4.5

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10000 15000 20000 25000 30000 35000 40000

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10000 15000 20000 25000 30000 35000 40000Number of nodes

Max.

von-

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Stress at Cancellous Bone

Convergence

StressMisesvonMaxXF .)(

• von-Mises St. at Cort. Bone = 380MPa • von-Mises St. at Canc. Bone = 20MPa- Typical Characteristics of Implant

임플란트 몸통부 : 직선 임플란트 하단부 : Spline 임플란트 길이 : 최대 13mm 임플란트 상단 : 최대 2.5mm

나사산의 높이 나사골의 깊이 나사산의 폭 나사골의 폭 나사의 피치

나사산의 높이 나사의 피치

Result of Optimum at Cancelouse Bone

Result of Optimum at Cortical Bone

Stress at Can. Bone

Stress at Cor.Bone

Stress at Cor. Bone

Stress at Can.Bone

Initial Value 15.65 379.81 379.81 15.65Basic Shape 13.74 371.01 363.32 13.78

Create screw at can 13.62 393.19 338.15 17.39Create screw at cor 13.09 246.86 220.84 15.29

Conclusion