It is shown that the elastic energy far from a point defect in an isotropic solid is mainly shear
elastic energy. The calculation, which is based on a standard dipole expansion, shows that no matter how large or small the bulk modulus is compared to the shear modulus, less than 10% of the distant point defect energy is associated with volume changes.
Knowing this elastic dipole, a second rank tensor fully characterizing the point-defect, one can directly obtain the long-range elastic field induced by the point-defect and its interaction with other elastic fields.
## 2018 [Point defect in solids: Shear dominance of the far-field energy](https://arxiv.org/abs/cond-mat/0406759) Jeppe C. Dyre
> It is shown that the elastic energy far from a point defect in an isotropic solid is mainly shear
> elastic energy. The calculation, which is **based on a standard dipole expansion, shows that no matter how large or small the bulk modulus** is compared to the shear modulus, **less than 10% of the distant point defect energy is associated with volume changes**.
- [Elastic modeling of point-defects and their interaction](https://arxiv.org/pdf/1802.04062.pdf) 2018
> Knowing this **elastic dipole, a second rank tensor fully characterizing the point-defect,** one can directly obtain the long-range elastic field induced by the point-defect and its interaction with other elastic fields.
## [The elastic interaction of point defects](https://www.sciencedirect.com/science/article/abs/pii/0001616055901401)
https://www.ias.ac.in/article/fulltext/boms/006/04/0775-0798
## Boson peak
[Interstitials - Granato](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5555/granato.pdf)
## [Thermodynamics of Point Defects and Their Relation with Bulk Properties]() book
Authors: P.A. Varotsos K.D. Alexopoulos
- https://onlinelibrary.wiley.com/doi/pdf/10.1107/S010876738709860X
- [brief review of a book](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5423/review%2Bof%2Bbook.pdf)
## 1956 [The Continuum Theory of Lattice Defects](https://knowen-production.s3.amazonaws.com/uploads/attachment/file/5424/eshelby.pdf)
J . D . ESHELBY
## https://fdocuments.net/reader/full/vol-7-landau-lifshitz-theory-of-elasticity-87s
https://archive.org/details/landau-and-lifshitz-physics-textbooks-series/Vol%207%20-%20Landau%2C%20Lifshitz%20-%20Theory%20of%20Elasticity%20%282nd%20ed%2C%201970%29/page/n11/mode/2up
