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https://dx.doi.org/10.1155/201...
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Fundamental Solutions for Periodic Media

Fundamental solutions for periodic media
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 English Publisher:Hindawi LimitedJournal:Advances in Mathematical Physics, volume 2,014, pages 1-4 (issn: 1687-9120, eissn: 1687-9139, Copyright policy )
Authors: Kuznetsov, Sergey V.(Institute for Problems in Mechanics, Moscow 119526);

doi: 10.1155/2014/473068

Fundamental Solutions for Periodic Media

Abstract

Necessity for the periodic fundamental solutions arises when the periodic boundary value problems should be analyzed. The latter are naturally related to problems of finding the homogenized properties of the dispersed composites, porous media, and media with uniformly distributed microcracks or dislocations. Construction of the periodic fundamental solutions is done in terms of the convergent series in harmonic polynomials. An example of the periodic fundamental solution for the anisotropic porous medium is constructed, along with the simplified lower bound estimate.

Related Organizations
Keywords

Fracture and damage, Physics, QC1-999, Flows in porous media; filtration; seepage, Homogenization in equilibrium problems of solid mechanics, Composite and mixture properties

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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