Finite element analysis of a mandibular model

Area of Science:

• Biomechanical Engineering
• Dental Mechanics
• Finite Element Analysis

Background:

• Understanding stress distribution in the mandible is crucial for dental implantology and prosthodontics.
• Previous studies have utilized finite element analysis (FEA) to model mandibular biomechanics.

Purpose of the Study:

• To investigate the stresses and displacements in a mandibular quadrant under different loading conditions using FEA.
• To compare the biomechanical response to distributed versus concentrated loads on molars and premolars.

Main Methods:

• A two-dimensional finite element model of a mandibular quadrant was developed.
• A 100 N load was applied in three configurations: distributed on the second molar, concentrated at 30 degrees on the second molar, and distributed on the second premolar and second molar.
• Material properties (modulus, Poisson's ratio) were based on accepted values for teeth, periodontal ligaments, and bone.

Main Results:

• Uniformly distributed loads on the second molar resulted in primarily compressive (sigma min) and tensile (sigma max) stresses.
• Concentrated loads at 30 degrees to the vertical generated stresses 3-5 times greater and less uniform than distributed loads.
• Concentrated loads induced higher bending stresses and greater maximum tensile stresses (sigma max).

Conclusions:

• The manner of load application significantly influences stress patterns and magnitudes within the mandibular quadrant.
• Concentrated, angled forces on posterior teeth result in considerably higher biomechanical stress than distributed forces.
• These findings have implications for designing dental restorations and understanding occlusal forces.