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Related Experiment Video

Updated: Mar 19, 2026

Force System with Vertical V-Bends: A 3D In Vitro Assessment of Elastic and Rigid Rectangular Archwires
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Force system generated by elastic archwires with vertical V bends: a three-dimensional analysis.

Madhur Upadhyay1, Raja Shah2, Donald Peterson3

  • 1Division of Orthodontics, Department of Craniofacial Sciences, University of Connecticut Health Center, Farmington, CT, USA.

European Journal of Orthodontics
|June 12, 2016
PubMed
Summary
This summary is machine-generated.

This study quantifies three-dimensional (3D) V-bend mechanics in orthodontics. Vertical forces and moments increase with archwire size, with distinct patterns observed for molar and incisor brackets.

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Area of Science:

  • Orthodontic Mechanics
  • Biomedical Engineering
  • Dental Materials

Background:

  • Current understanding of V-bend mechanics relies on 2D analysis, neglecting the 3D nature of orthodontic appliances.
  • Second-order archwire-bracket interactions are well-studied, but third-order effects remain less understood.

Purpose of the Study:

  • To quantify the three-dimensional (3D) force system generated by vertical V-bends in a two-bracket setup (molar and incisor).
  • To analyze the effects of V-bend placement and archwire size on forces and moments in all three spatial planes.

Main Methods:

  • Utilized a 3D setup with maxillary molar and incisor brackets connected to load cells measuring forces and moments in x, y, and z planes.
  • Symmetrical V-bends (150 degrees) were placed at 11 locations on rectangular beta-titanium archwires of varying sizes.
  • Analyzed vertical forces (Fz) and anteroposterior moments (Mx) using descriptive statistics.

Main Results:

  • Both vertical forces (Fz) and anteroposterior moments (Mx) increased with larger archwire sizes (P < 0.05).
  • Vertical forces were linear and symmetric, increasing as bends approached the brackets.
  • Anteroposterior moments (Mx) were asymmetric and non-linear, with higher magnitudes at the molar bracket and a distinct flattening of the incisor Mx curve.

Conclusions:

  • Provides critical insights into 3D V-bend mechanics, encompassing both second and third-order archwire-bracket interactions.
  • Describes a model for determining the V-bend force system, potentially simplifying clinical application.