scholarly journals A characteristic length scale causes anomalous size effects and boundary programmability in mechanical metamaterials

2017 ◽  
Vol 14 (1) ◽  
pp. 40-44 ◽  
Author(s):  
Corentin Coulais ◽  
Chris Kettenis ◽  
Martin van Hecke
Keyword(s):  
Size Effects ◽  
Characteristic Length ◽  
Length Scale ◽  
Characteristic Length Scale ◽  
Mechanical Metamaterials

Tailoring the characteristic length scale of 3D chiral mechanical metamaterials

2019 ◽  
Vol 32 ◽  
pp. 100553 ◽  
Author(s):  
Patrick Ziemke ◽  
Tobias Frenzel ◽  
Martin Wegener ◽  
Peter Gumbsch
Keyword(s):  
Characteristic Length ◽  
Length Scale ◽  
Characteristic Length Scale ◽  
Mechanical Metamaterials

Identification of the characteristic length scale for fatigue cracking in fretting contacts

1998 ◽  
Vol 08 (PR8) ◽  
pp. Pr8-159-Pr8-166 ◽  
Author(s):  
S. Fouvry ◽  
Ph. Kapsa ◽  
F. Sidoroff ◽  
L. Vincent
Keyword(s):  
Characteristic Length ◽  
Fatigue Cracking ◽  
Length Scale ◽  
Characteristic Length Scale

scholarly journals Lettau’s Contribution to the Obukhov Length Scale: A Scientific Historical Study

2021 ◽  
Author(s):  
Thomas Foken ◽  
Michael Börngen
Keyword(s):  
Characteristic Length ◽  
Stability Parameter ◽  
Historical Study ◽  
Length Scale ◽  
Characteristic Length Scale ◽  
Obukhov Length ◽  
The Future

AbstractIt has been repeatedly assumed that Heinz Lettau found the Obukhov length in 1949 independently of Obukhov in 1946. However, it was not the characteristic length scale, the Obukhov length L, but the ratio of height and the Obukhov length (z/L), the Obukhov stability parameter, that he analyzed. Whether Lettau described the parameter z/L independently of Obukhov is investigated herein. Regardless of speculation about this, the significant contributions made by Lettau in the application of z/L merit this term being called the Obukhov–Lettau stability parameter in the future.

Mesoscopic Disorder

MRS Bulletin ◽  
1994 ◽  
Vol 19 (5) ◽  
pp. 11-13 ◽  
Author(s):  
D.A. Weitz
Keyword(s):  
Molecular Level ◽  
Characteristic Length ◽  
Disordered Materials ◽  
Length Scale ◽  
Interconnected Network ◽  
Characteristic Length Scale ◽  
Fiber Network ◽  
Disordered Structure ◽  
Reading Glasses ◽  
Strong Scattering

Disorder characterizes most of the materials that surround us in nature. Despite their great technological importance, materials with ordered crystalline structures are relatively rare. Examples of disordered materials, however, abound, and their forms can be as varied as their number. The paper on which these words are printed has a disordered structure composed of a highly interconnected network of fibers. It has also been coated with particulate materials to improve its properties and the visibility of the ink. The reading glasses you may require to focus on these words are composed of a glass or polymer material that is disordered on a molecular level. Even the structure of your hand holding this magazine is disordered. These and virtually all other disordered materials are typically parameterized by a characteristic length scale. Above this length scale, the material is homogeneous and the effects of the disorder are not directly manifest; below this characteristic length the disorder of the structure dominates, directly affecting the properties.The range of characteristic length scales for the disordered materials around us is immense. For the glass or polymer of your reading glasses, it is microscopic; the disorder is apparent only at the molecular level, while above this level the material is homogeneous. For the paper on which this magazine is printed, the scale is larger; the paper is white partly because the disordered fiber network has within it structures that are comparable in size to the wavelength of light, resulting in strong scattering of the light.

A characteristic length scale in confined elastic buckling of a force chain

2011 ◽  
Vol 13 (3) ◽  
pp. 215-218 ◽  
Author(s):  
Antoinette Tordesillas ◽  
Giles Hunt ◽  
Jingyu Shi
Keyword(s):  
Characteristic Length ◽  
Force Chain ◽  
Elastic Buckling ◽  
Length Scale ◽  
Characteristic Length Scale
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