Skip to main content

News about Scitation

In December 2016 Scitation will launch with a new design, enhanced navigation and a much improved user experience.

To ensure a smooth transition, from today, we are temporarily stopping new account registration and single article purchases. If you already have an account you can continue to use the site as normal.

For help or more information please visit our FAQs.

banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
/content/aip/journal/adva/6/9/10.1063/1.4962996
1.
Throughout this letter, anisotropy/isotropy will implicitly refer to the anisotropy/isotropy of the second-order elastic constants of crystalline materials.
2.
J. G. Berryman, Geophysics 44, 896 (1979).
http://dx.doi.org/10.1190/1.1440984
3.
L. Thomsen, Geophysics 51, 1954 (1986).
http://dx.doi.org/10.1190/1.1442051
4.
I. Tsvankin, Geophysics 62, 1292 (1997).
http://dx.doi.org/10.1190/1.1444231
5.
H.-R. Wenk, I. Lonardelli, and Y. Ren, Geophysics 72, E69 (2007).
http://dx.doi.org/10.1190/1.2432263
6.
J. Li, K. J. Van Vliet, T. Zhu, S. Yip, and S. Suresh, Nature (London) 418, 307 (2002).
http://dx.doi.org/10.1038/nature00865
7.
J. Brugués, J. Ignés-Mullol, J. Casademunt, and F. Sagués, Phys. Rev. Lett. 100, 037801 (2008).
http://dx.doi.org/10.1103/PhysRevLett.100.037801
8.
V. Tvergaard and J. W. Hutchinson, J. Am. Ceram. Soc. 71, 157 (1988).
http://dx.doi.org/10.1111/j.1151-2916.1988.tb05022.x
9.
Q. X. Pei, C. Lu, and Y. Y. Wang, J. Appl. Phys. 93, 1487 (2003).
http://dx.doi.org/10.1063/1.1535730
10.
M. H. Yoo, Scr. Mater. 20, 915 (1986).
http://dx.doi.org/10.1016/0036-9748(86)90466-7
11.
J. M. Rickman, J. Appl. Phys. 106, 044911 (2009).
http://dx.doi.org/10.1063/1.3204649
12.
B. Taylor, H. J. Maris, and C. Elbaum, Phys. Rev. B 3, 1462 (1971).
http://dx.doi.org/10.1103/PhysRevB.3.1462
13.
C. H. Turner, A. Chandran, and R. M. Pidaparti, Bone 17, 85 (1995).
http://dx.doi.org/10.1016/8756-3282(95)00148-7
14.
P. Lloveras, T. Castán, M. Porta, A. Planes, and A. Saxena, Phys. Rev. Lett. 100, 165707 (2008).
http://dx.doi.org/10.1103/PhysRevLett.100.165707
15.
S. Groh, B. Devincre, L. P. Kubin, A. Roos, F. Feyel, and J.-L. Chaboche, Philos. Mag. Lett. 83, 303 (2003).
http://dx.doi.org/10.1080/0950083032000069249
16.
C. Zener, Elasticity and Anelasticity of Metals (University of Chicago, Chicago, 1948).
17.
D. H. Chung and W. R. Buessem, J. Appl. Phys. 38, 2010 (1967).
http://dx.doi.org/10.1063/1.1709819
18.
H. Ledbetter and A. Migliori, J. Appl. Phys. 100, 063516 (2006).
http://dx.doi.org/10.1063/1.2338835
19.
K. Lau and A. K. McCurdy, Phys. Rev. B 58, 8980 (1998).
http://dx.doi.org/10.1103/PhysRevB.58.8980
20.
S. I. Ranganathan and M. Ostoja-Starzewski, Phys. Rev. Lett. 101, 055504 (2008).
http://dx.doi.org/10.1103/PhysRevLett.101.055504
21.
R. Hill, Proc. Phys. Soc. A 65, 349 (1952).
http://dx.doi.org/10.1088/0370-1298/65/5/307
22.
A. N. Norris, J. Mech. Mat. Struct. 1, 223 (2006).
http://dx.doi.org/10.2140/jomms.2006.1.223
23.
V. Arsigny, P. Fillard, X. Pennec, and N. Ayache, in Medical Image Computing and Computer-Assisted Intervention–MICCAI 2005, edited by J. S. Duncan and G. Gerig (Springer, Berlin, 2005) Vol. 3749, p. 115.
24.
M. Moakher and A. N. Norris, J. Elasticity 85, 215 (2006).
http://dx.doi.org/10.1007/s10659-006-9082-0
25.
L. J. Walpole, Proc. R. Soc. Lond. Sect. A 391, 149 (1984).
http://dx.doi.org/10.1098/rspa.1984.0008
26.
M. de Jong, W. Chen, T. Angsten, A. Jain, R. Notestine, A. Gamst, M. Sluiter, C. Krishna Ande, S. van der Zwaag, J. J. Plata, C. Toher, S. Curtarolo, G. Ceder, K. A. Persson, and M. Asta, Scientific Data 2, 150009 (2015).
http://dx.doi.org/10.1038/sdata.2015.9
27.
A. Jain, S. P. Ong, G. Hautier, W. Chen, W. D. Richards, S. Dacek, S. Cholia, D. Gunter, D. Skinner, G. Ceder, and K. A. Persson, APL Materials 1, 011002 (2013).
http://dx.doi.org/10.1063/1.4812323
28.
A. G. Every and A. K. McCurdy, in Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series Group III: Crystal and Solid State Physics, edited by O. Madelung and D. F. Nelson (Springer-Verlag, Berlin, 1992), Vol. 29.
http://aip.metastore.ingenta.com/content/aip/journal/adva/6/9/10.1063/1.4962996
Loading
/content/aip/journal/adva/6/9/10.1063/1.4962996
Loading

Data & Media loading...

Loading

Article metrics loading...

/content/aip/journal/adva/6/9/10.1063/1.4962996
2016-09-13
2016-12-05

Abstract

An anisotropy index seeks to quantify how directionally dependent the properties of a system are. In this article, the focus is on quantifying the elastic anisotropy of crystalline materials. Previous elastic anisotropy indices are reviewed and their shortcomings discussed. A new scalar log-Euclidean anisotropy measure is proposed, which overcomes these deficiencies. It is based on a distance measure in a log-Euclidean space applied to fourth-rank elastic tensors. is an absolute measure of anisotropy where the limiting case of perfect isotropy yields zero. It is a universal measure of anisotropy applicable to all crystalline materials. Specific examples of strong anisotropy are highlighted. A supplementary material provides an anisotropy table giving the values of for 2,176 crystallite compounds.

Loading

Full text loading...

/deliver/fulltext/aip/journal/adva/6/9/1.4962996.html;jsessionid=VOBYr9-Zdg-VUfiQ2zwxo4mR.x-aip-live-03?itemId=/content/aip/journal/adva/6/9/10.1063/1.4962996&mimeType=html&fmt=ahah&containerItemId=content/aip/journal/adva
true
true

Access Key

  • FFree Content
  • OAOpen Access Content
  • SSubscribed Content
  • TFree Trial Content
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
/content/realmedia?fmt=ahah&adPositionList=
&advertTargetUrl=//oascentral.aip.org/RealMedia/ads/&sitePageValue=aipadvances.aip.org/6/9/10.1063/1.4962996&pageURL=http://scitation.aip.org/content/aip/journal/adva/6/9/10.1063/1.4962996'
Right1,Right2,Right3,