Micromechanics and theory of point defects in anisotropic elasticity: Eshelby factor meets Eshelby tensor
Markus Lazar
TL;DR
This paper develops a comprehensive anisotropic elasticity framework for point defects, deriving key equations and solutions, and explores defect interactions, volume changes, and the Eshelby factor in anisotropic materials.
Contribution
It introduces new solutions for anisotropic point defects using the Green tensor and relates the Eshelby factor to the Eshelby tensor in anisotropic elasticity.
Findings
Derived key equations for anisotropic point defects.
Calculated interaction energies and torques between defects.
Expressed the Eshelby factor in terms of the Eshelby tensor.
Abstract
The interaction of anisotropic point defects in anisotropic media is studied in the framework of anisotropic elasticity with eigendistortion. For this purpose key-equations and their solutions for anisotropic point defects in an anisotropic medium based on the anisotropic Green tensor are derived. The material force, interaction energy and torque between two point defects as well as between a point defect and a dislocation loop are given. We discuss so-called contact terms and point out similarities between elastic, electric, and magnetic dipoles. The plastic, the elastic and the total volume changes caused by an anisotropic point defect in an anisotropic material and the related Eshelby factor are determined. Thereby, the Eshelby factor is given in terms of the Eshelby tensor.
Click any figure to enlarge with its caption.
Figure 1Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
See pages 1-last of Lazar-PointDefect-JMMP-2.pdf