A Global Numerical analysis of the "central incisor/local maxillary bone" system using a meshless method

Area of Science:

• Biomedical Engineering
• Computational Mechanics
• Dental Biomechanics

Background:

• Numerical analysis of dental structures is crucial for understanding biomechanical behavior.
• Existing methods may have limitations in handling complex geometries and material properties.
• A novel meshless approach is needed for accurate dental biomechanics simulation.

Purpose of the Study:

• To introduce and evaluate the Natural Neighbour Radial Point Interpolation Method (NNRPIM) for analyzing the maxillary central incisor.
• To perform elasto-static and bone remodeling analyses of the incisor-maxillary complex.
• To compare NNRPIM results with existing numerical methods and clinical data.

Main Methods:

• Development of a 2D numerical model of the maxillary central incisor based on clinical literature.
• Application of the Natural Neighbour Radial Point Interpolation Method (NNRPIM), a meshless discretization technique.
• Conducting elasto-static analysis and non-linear iterative bone tissue remodeling analysis.

Main Results:

• NNRPIM successfully determined nodal connectivity and generated an integration mesh autonomously.
• The method provided accurate elasto-static solutions for the incisor/maxillary structure.
• Non-linear bone remodeling analysis of the maxillary bone was effectively performed.

Conclusions:

• The Natural Neighbour Radial Point Interpolation Method (NNRPIM) is a suitable and effective numerical technique for dental biomechanics.
• NNRPIM offers advantages in discretizing complex dental structures and simulating biomechanical phenomena.
• The findings support the use of NNRPIM for future research in dental engineering and clinical applications.