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Stress Concentrations

Stress 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...

Stress Concentrations

Stress 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...

Flexural Stress

Flexural Stress

When analyzing bending in symmetric members, it's crucial to understand how stresses distribute when subjected to bending moments. This stress distribution is effectively described by applying fundamental mechanics and material science principles, particularly Hooke's Law for elastic materials.
Hooke's Law states that within the material's elastic limits, stress is directly proportional to strain. In a member experiencing a bending moment, the strain at any point is relative to its distance...

Transformation of Plane Stress

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...

Components of Stress

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...

Stresses under Combined Loadings

Stresses under Combined Loadings

When analyzing a bent tube with a circular cross-section subjected to multiple forces, it is crucial to determine the stress distribution in order to maintain structural integrity under varied load conditions.
The process begins by slicing the tube at critical points and analyzing the internal forces and stress components at these sections, focusing on the centroid. Normal stresses, generated by axial forces and bending moments, are either compressive or tensile and vary across the section from...

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Related Experiment Video

Updated: Jun 2, 2026

Quasistatic Mechanical Testing for Computer-Aided Design and Manufacturing Occlusal Veneers Cemented to Milled Dentin Analog Material

Quasistatic Mechanical Testing for Computer-Aided Design and Manufacturing Occlusal Veneers Cemented to Milled Dentin Analog Material

Published on: December 20, 2024

Monoblocks in root canals: a finite elemental stress analysis study.

S Belli¹, O Eraslan, G Eskitascioglu

¹Department of Endodontics, Faculty of Dentistry, Selçuk University, Konya, Turkey. sbelli@selcuk.edu.tr

International Endodontic Journal

|April 21, 2011

Summary

Finite element stress analysis (FEA) shows that fewer interfaces in dental restorations reduce stress. Creating a primary monoblock with sealers or posts minimizes stress within the tooth structure.

More Related Videos

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

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

Published on: April 8, 2020

Related Experiment Videos

Last Updated: Jun 2, 2026

Quasistatic Mechanical Testing for Computer-Aided Design and Manufacturing Occlusal Veneers Cemented to Milled Dentin Analog Material

Quasistatic Mechanical Testing for Computer-Aided Design and Manufacturing Occlusal Veneers Cemented to Milled Dentin Analog Material

Published on: December 20, 2024

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

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

Published on: April 8, 2020

Area of Science:

Biomaterials Science
Dental Engineering
Computational Mechanics

Background:

Dental restorations aim to restore tooth function and aesthetics.
Adhesive materials and post-core systems are crucial for restoring endodontically treated teeth.
Understanding stress distribution in restored teeth is vital for predicting long-term success.

Purpose of the Study:

To analyze stress distribution in incisor models with varying monoblock configurations.
To evaluate the impact of adhesive interfaces on stress concentration.
To compare stress patterns using different adhesive resin sealers and post systems.

Main Methods:

Finite element stress analysis (FEA) was employed on seven maxillary incisor models.
Models represented primary, secondary, and tertiary monoblocks using various materials (MTA, MetaSEAL, Resilon, EndoREZ, Ribbond, glass-fibre posts, ceramic posts).
A 300 N load was applied at a 135° angle to the tooth long axis, with stress evaluated using von Mises criteria.

Main Results:

Maximum stress concentrations occurred at force application points (18-22.1 MPa).
Stress levels increased with the number of interfaces in both sealer-based (1.67-8.33 MPa) and post-core-based (1.67-11.7 MPa) monoblocks.
Higher numbers of adhesive interfaces correlated with increased internal root stresses.

Conclusions:

Increased adhesive interfaces lead to higher stresses within the root canal system.
Establishing a primary monoblock using endodontic sealers or adhesive post-core systems effectively reduces intra-tooth stresses.
Minimizing interfaces in dental restorations is key to improving stress management and structural integrity.