Conditions for the Jump of Stresses and Displacements on Thin Anisotropic Interlayers and Inclusions in Continuous Media

For problems of thin anisotropic interlayers, overlays, and inclusions in continuous three-dimensional media, we establish conditions that enable us to represent the action of the indicated heterogeneities by the presence of a surface with certain properties. In particular, in passing through this s...

Full description

Saved in:
Bibliographic Details
Published in:Materials science (New York, N.Y.) N.Y.), 2018-11, Vol.54 (3), p.349-353
Main Authors: Sylovanyuk, V. P., Ivantyshyn, N. А., Kuz’, О. N.
Format: Article
Language:English
Subjects:
Anisotropy
Characterization and Evaluation of Materials
Chemistry and Materials Science
Defects
Inclusions
Interlayers
Materials Science
Mathematical analysis
Solid Mechanics
Stresses
Structural Materials
Vectors (mathematics)
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:For problems of thin anisotropic interlayers, overlays, and inclusions in continuous three-dimensional media, we establish conditions that enable us to represent the action of the indicated heterogeneities by the presence of a surface with certain properties. In particular, in passing through this surface, the components of the vectors of displacements and stresses have discontinuities. In complicated problems of anisotropic heterogeneities in the medium, this enables us to decrease the dimensionality of defects in homogeneous structures, namely, the three-dimensional defects are reduced to two-dimensional defects and two-dimensional defects are reduced to one-dimensional. As a result, the problems are mathematically simplified, which makes it possible to obtain their efficient solutions.
ISSN:1068-820X
1573-885X
DOI:10.1007/s11003-018-0191-2