Related Experiment Video
Updated: Jul 3, 2026
07:09
In situ Compressive Loading and Correlative Noninvasive Imaging of the Bone-periodontal Ligament-tooth Fibrous Joint
Published on: March 7, 2014
Multiscale analysis of stress distribution in teeth under applied forces
Jiro Miura1, Yoshinobu Maeda, Hiroaki Nakai
1Division for Interdisciplinary Dentistry, Osaka University School of Dentistry, Suita, Osaka, Japan. miura_j@dent.osaka-u.ac.jp <miura_j@dent.osaka-u.ac.jp>
Summary
This study used microindentation and multiscale simulation to analyze stress distribution in teeth. Shear stresses in the enamel sheath are significant for stress transmission under applied loads.
Area of Science:
- Dental biomechanics
- Materials science
- Computational modeling
Background:
- Understanding stress distribution in teeth is crucial for dental treatments.
- Teeth exhibit anisotropic material properties in enamel and dentin.
Purpose of the Study:
- To clarify stress distribution in teeth under external load.
- To investigate the role of microscale, mesoscale, and macroscale structures in stress transmission.
Main Methods:
- Measured anisotropic material properties of enamel and dentin using dynamic ultra microhardness testing.
- Developed a multiscale finite element model (micro, meso, macro scales).
- Applied a 10 N concentrated load to the labial surface of a central incisor.
Main Results:
- Normal stress of 5 MPa and shear stress of 6.5 MPa observed in the labial enamel sheath.
- Normal stress of 1.4 MPa and shear stress of 21.4 MPa found in the cervical region.
- Significant differences in stress distribution across different tooth regions.
Conclusions:
- Shear stresses within the enamel sheath are critical for overall stress transmission.
- Multiscale simulation provides valuable insights into tooth biomechanics.
- Findings can inform dental material design and treatment strategies.
Related Concept Videos
01:15Stress: 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.
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.
01:23Components 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...
Interestingly, the hidden cube faces also experience these stresses, equal and opposite to those on the...
01:04Applications of Stress
Consider a structure made of a boom and a rod designed to support a load. These two components are connected by a pin and stabilized by brackets and pins. The boom and the rod are detached from their supports to assess the different stresses imposed on this structure, and a free-body diagram is drawn. Then, all the forces applied, including the load acting on the structure, are identified. The reaction forces exerted on both the boom and the rod are computed using the equilibrium equations.
The...
The...
01:18Transformation 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...
01:24Stress Concentrations
Stress concentration is when stress intensifies near discontinuities such as holes or abrupt cross-sectional changes in a structural member. This localized stress can often surpass the average stress within the member. The stress distribution in flat bars, either with a circular hole or varying widths connected by fillets, can be determined experimentally using a photoelastic method. The results are based on ratios of geometric parameters like the ratio of the hole's radius to the smaller width...
01:13Stress Concentrations
The concept of stress concentration is crucial for understanding how materials respond under bending stresses, particularly when there are irregularities or discontinuities in the material's geometry. Normally, stress in a symmetric member subjected to pure bending is assumed to be uniformly distributed across the entire cross-section. However, this assumption does not hold when there are variations in the cross-sectional geometry or the presence of notches and holes.
The stress concentration...
The stress concentration...