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Elastic Boundary Layers in Two-Dimensional Isotropic Lattices.

Authors :
Phani, A. Srikantha
Fleck, Norman A.
Source :
Journal of Applied Mechanics. Mar2008, Vol. 75 Issue 2, p021020-1-021020-8. 8p. 11 Diagrams, 1 Graph.
Publication Year :
2008

Abstract

The phenomenon of elastic boundary layers under quasistatic loading is investigated using the Floquet-Bloch formalism for two-dimensional, isotropic, periodic lattices. The elastic boundary layer is a region of localized elastic deformation, confined to the free edge of a lattice. Boundary layer phenomena in three isotropic latti...e topologies are investigated: the semiregular Kagome lattice, the regular hexagonal lattice, and the regular fully triangulated lattice. The boundary layer depth is on the order of the strut length for the hexagonal and the fully triangulated lattices. For the Kagome lattice, the depth of boundary layer scales inversely with the relative density. Thus, the boundary layer in a Kagome lattice of low relative density spans many cells. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00218936
Volume :
75
Issue :
2
Database :
Academic Search Index
Journal :
Journal of Applied Mechanics
Publication Type :
Academic Journal
Accession number :
31811887
Full Text :
https://doi.org/10.1115/1.2775503