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Related Concept Videos

Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
Three-Dimensional Force System:Problem Solving01:30

Three-Dimensional Force System:Problem Solving

A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
Components of Stress01:23

Components of Stress

Stress analysis under multiple loading conditions is intricate, necessitating a comprehensive grasp of normal and shearing stresses. Consider a small cube at point O, subjected to stress on all six faces, visible or not. Normal stress components σx, σy, σz act perpendicularly to the x, y, and z axes. Shearing stress components τxy and τxz are exerted on faces perpendicular to these axes.
Interestingly, the hidden cube faces also experience these stresses, equal and opposite to those on the...
Transformation of Plane Stress01:18

Transformation of Plane Stress

Studying stress transformation is essential in understanding how stress components within a material, like a cube under plane stress, change with rotation. This change is analyzed by considering a prismatic element within the cube. As the element rotates, the stress components acting on it—both normal and shearing stresses—change in magnitude and orientation. This change is quantified using trigonometric functions of the rotation angle, relating the forces acting on the rotated element's faces...
Method of Sections01:30

Method of Sections

Consider a truss structure, as shown in the figure.
Stress: General Loading Conditions01:15

Stress: General Loading Conditions

To grasp the intricacy of real-world conditions where multiple loads are applied simultaneously to a structure, one might visualize a section passing through a specific point within a body, aligned parallel to the xy plane. This section is subjected to various forces, including original loads, normal forces, and shearing forces.
The shearing force, possessing potential directionality within the plane of the section, is simplified into two component forces running parallel to the x and y axes.

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Related Experiment Video

Updated: Jun 22, 2026

A Finite Element Approach for Locating the Center of Resistance of Maxillary Teeth
10:50

A Finite Element Approach for Locating the Center of Resistance of Maxillary Teeth

Published on: April 8, 2020

[Three-dimensional finite element analysis for different directions distraction at midface].

Min Hou1, Chun-ming Liu, Hai-zhong Zhang

  • 1Department of Orthognathic Surgery, Tianjin Stomatological Hospital, Tianjin 300041, China.

Zhonghua Zheng Xing Wai Ke Za Zhi = Zhonghua Zhengxing Waike Zazhi = Chinese Journal of Plastic Surgery
|June 30, 2009
PubMed
Summary

Applying a downward force of 500 g at 20-30 degrees to the occlusal plane effectively distracts the midface (craniofacial complex) anteriorly. This method optimizes stress distribution in sutures and prevents counterclockwise rotation of the maxilla.

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Last Updated: Jun 22, 2026

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Area of Science:

  • Orthodontics
  • Craniofacial surgery
  • Biomechanical analysis

Context:

  • Midface distraction is crucial for treating craniofacial deformities.
  • Understanding biomechanical changes is essential for optimizing treatment outcomes.
  • Previous studies have not fully explored the biomechanical effects of varying distraction directions.

Purpose:

  • To investigate the biomechanical changes in the craniofacial complex under different distraction directions.
  • To determine the optimal force direction for effective anterior midface distraction.
  • To evaluate stress distribution and rotational effects during distraction.

Summary:

  • A 500 g force was applied to the piriform aperture floor in various directions relative to the occlusal plane.
  • Three-dimensional finite element analysis simulated biomechanical responses.
  • Optimal anterior distraction occurred when the force was directed 20-30 degrees downward relative to the occlusal plane, promoting uniform stress and preventing maxillary rotation.

Impact:

  • Identifies a specific force vector (20-30 degrees downward) for effective anterior midface distraction.
  • Demonstrates the potential to achieve uniform stress distribution in craniofacial sutures.
  • Provides insights to avoid undesirable counterclockwise rotation of the maxilla, improving treatment predictability.