The health sector is one of the application fields of Shape Memory Alloys (SMAs). In the case of nickel-titanium (NiTi) orthodontic archwires, multiple choices face the practitioner to minimize patients’ pain during orthodontic correction without compromising efficiency. Hence, finite element simulations can be considered as a tool to help the practitioner estimate the force applied by the orthodontic arch on the teeth to generate the dental correction displacement. The objective of this study is to determine this force for different cases while considering the physiological conditions in the mouth. To achieve this, six factors were identified and a Taguchi experimental design, resulting in 27 experiments, was performed on Minitab 2019. The generation of a program for the definition of the different parameters and the numerical simulation of the experiments was performed via a Python script that was executed in the control part of the finite element software Abaqus 2020. The results showed that the most important factors influencing the correction force are related to the patient first, followed by the practitioner choices. In addition, this study allowed deducing the empirical expression of the orthodontic force as a function of the studied factors.
