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Dipartimento di Ingegneria Meccanica e Aerospaziale
Prof. Massimiliano AVALLE Dr. Alessandro SCATTINA
Dr. Paolo C. PRIARONE Marco BELLANDA, MD
Topological Optimization of a Dental Prosthesis
2013 European Altair Technology Conference
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference
Aim of the bridge
– Fix the prosthesis attached to the mandibula
Introduction
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference Introduction
Mandibula model
(metal) bridge
Artificial gingiva
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference Introduction
Aim of the project
– The problem:
• excessive heigth and weight of the prostheses = patient’s discomfort
– The (possible) solution:
• To lighten the bridge by
– Using lightweight materials
– Applying optimization
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference
Parametric optimization
– The shape is given, parameters like thickness, are changed to obtain the objective
Shape optimization
– The shape is changed to obtain the optimization
Topological optimization
– Only a volumetric constraint is given leaving the optimization algorithm free to find the optimal solution by removing useless material
Optimization methodologies
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference
Minimum bridge width
Fixation points
– Usually 4 to 6 depending on the patient
Material Golden alloy
Chromium/cobalt alloy
Titanium alloys
Composites
Topological Optimization: problem definition
?
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference
In biomedical applications, each product is personalized on the basis of the patient
Model definition
3D facets and tetrahedral elements reconstruction
CT scans
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference
Simulation of the atrophy of the mandibula after damaged teeth removal
Model definition
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference
3 analyzed cases
Control Volume Definition
Large control volume
Light control volume
Optimized control volume
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference Control Volume Definition
Large control volume
Light control volume
Optimized control volume
3 analyzed cases
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference
Boundary conditions
– Boundary conditions are essential in the topological optimization
– Constraints: fixation points
– Loads: bite loads?
Topological Optimization: problem definition
Main biting modes
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference
Boundary conditions
– Loads: bite loads
Topological Optimization: problem definition
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference
Boundary conditions
– Loads: bite loads
Topological Optimization: problem definition
Three different load cases have been examined:
Point loads
Pressure loads
Wrench equivalent load
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference
Pressure loading mode
Topological optimization results
Large control volume
Light control volume
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference
Point loading mode
Topological optimization results
Large control volume
Light control volume Light control volume
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference
Additional volume constraint
Control Volume Definition
Fixed volume (red)
Study volume (blue)
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference
Results with additional volume constraints
Topological optimization results
60% weight and volume reduction
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference
Results with additional volume constraints
Topological optimization results
Von Mises Stress
Displacements
Dipartimento di Ingegneria Meccanica e Aerospaziale
2013 European Technology Conference Conclusions
The topological optimization method implemented in OPTISTRUCT was efficiently applied to the improvement of a dental surgery prosthesis
The objective was to reduce the volume and weight of a dental bridge, usually a massive metal (gold or titanium) structure
The biggest problem is related to the loading mode: few and incomplete information are available, the different loading modes are only known as rough estimates
Another difficulty is related to the variability of the problem: each patient is a single different case, and should be treated as an individual optimization problem
Despite the difficulty a reduction of 60% in weight and volume was achieved: a verification by experimental tests (on a real patient) is being carried out.
Dipartimento di Ingegneria Meccanica e Aerospaziale
Thank you for the attention
Topological Optimization of a Dental Prosthesis
2013 European Altair Technology Conference
Prof. Massimiliano AVALLE Dr. Alessandro SCATTINA
Dr. Paolo C. PRIARONE Marco BELLANDA, MD