Calculation of the elastic strain field of a cuboidal precipitate in an anisotropic matrix
Document Type
Article
Publication Date
3-16-1978
Department
Department of Materials Science and Engineering
Abstract
Using the anisotropic elastic Green's functions and their derivatives, the elastic strain field associated with a cuboidal precipitate in an anisotropic matrix is calculated. Uniform elastic constants for the precipitate and matrix are assumed, and the elastic constants of copper are used. Assuming a pure volumetric transformation strain, it is found that the dilatation is constant neither in the precipitate nor in the matrix. The dilatation inside the precipitate increases smoothly from the precipitate center to the interface, resulting in a maximum along the [110] direction. In the matrix, the dilatation exhibits a negative value near the interface in the directions [100], [110], and [111]. The elastic strain energy associated with a cuboidal precipitate is found to be ca. 93% of that of a spherical precipitate.
Publication Title
physica status solidi (a)
Recommended Citation
Lee, J.,
&
Johnson, W.
(1978).
Calculation of the elastic strain field of a cuboidal precipitate in an anisotropic matrix.
physica status solidi (a),
46(1), 267-272.
http://doi.org/10.1002/pssa.2210460134
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/3873
Publisher's Statement
Copyright © 1978 WILEY‐VCH Verlag GmbH & Co. KGaA. Publisher’s version of record: https://doi.org/10.1002/pssa.2210460134