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The revised elastic field of an edge dislocation.

J P Hirth¹, P M Anderson¹

¹Materials Science and Engineering Department, Ohio State University, Columbus, OH 43210.

Proceedings of the National Academy of Sciences of the United States of America

|February 4, 2025

Summary

We modified edge dislocation fields using symmetry and energy principles, introducing a line force. This alters stress fields, increasing them in the glide direction and decreasing them in the climb direction.

Keywords:

defect interaction dislocation theory interfaces line force stress field

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Area of Science:

Solid Mechanics
Materials Science
Dislocation Theory

Background:

Traditional linear-elastic models for edge dislocations.
Need for modifications based on symmetry and energy.

Purpose of the Study:

To modify the linear-elastic field of an edge dislocation.
Incorporate symmetry and energy requirements.
Analyze the resulting stress field modifications.

Main Methods:

Modifying the dislocation field using embedded coordinates.
Introducing a line force to satisfy requirements.
Expressing stress field modifications via coefficients dependent on Poisson's ratio.

Main Results:

The modified stress field increases in the glide direction and decreases in the climb direction.
Coefficients depend solely on Poisson's ratio.
Minor alterations observed for screw dislocations without added line force.

Conclusions:

The proposed modifications provide a more accurate representation of edge dislocation behavior.
The findings offer insights into stress distribution around dislocations.
Further considerations include nonlinearity, anisotropy, and image forces.