+ Resolve Article
+ Follow Us
Follow on FacebookFollow on Facebook
Follow on TwitterFollow on Twitter

+ Translate
+ Subscribe to Site Feed
GeoScience Most Shared ContentMost Shared Content

Spectral decomposition of the linear elastic tensor for trigonal symmetry; classification of symmetry restrictions for arbitrary point groups

, : Spectral decomposition of the linear elastic tensor for trigonal symmetry; classification of symmetry restrictions for arbitrary point groups. Acta Crystallographica. Section A, Foundations of Crystallography 62(Pt 3): 168-173

The linear compliance tensor for trigonal symmetry has four different eigenvalues, two of which have multiplicity 1, the others multiplicity 2. They and the corresponding eigenvectors have been calculated in terms of the seven parameters of the corresponding Voigt matrix. Necessary and sufficient conditions have been derived for these components to guarantee positive eigenvalues and thus a positive strain energy. The hierarchy of restrictions on the linear elastic tensors that follow from Neumann's principle for arbitrary point groups in three dimensions has been established for the standard choice of the Cartesian coordinate system, as well as in coordinate-independent form.


PMID: 16614488

DOI: 10.1107/S0108767306005800

Other references

Braat, S.H.; de Swart, H.; Janssen, J.H.; Brugada, P.; Rigo, P.; Wellens, H.J., 1990: Use of technetium-99m sestamibi to determine the size of the myocardial area perfused by a coronary artery. The value of the new radionuclide tracer, technetium-99m (Tc-99m) sestamibi, to demonstrate myocardial perfusion in areas supplied by specific coronary arteries was evaluated in patients injected with the agent during cardiac catheterization. Tc-9...

Palacios, P.; Aguilera, I.; Sánchez, K.; Conesa, J.C.; Wahnón, P., 2008: Transition-metal-substituted indium thiospinels as novel intermediate-band materials: prediction and understanding of their electronic properties. Results of density-functional calculations for indium thiospinel semiconductors substituted at octahedral sites with isolated transition metals (M=Ti,V) show an isolated partially filled narrow band containing three t2g-type states per M atom insi...

Shott, S., 1989: Multicenter evaluation of synovectomy. Journal of Rheumatology 16(6): 848-850

Hrabovský, M.; Ščevková, J.; Mičieta, K.; Lafférsová, J.; Dušička, J., 2016: Expansion and aerobiology of Ambrosia artemisiifolia L. in Slovakia. The invasive alien species Ambrosia artemisiifolia cause environmental, agronomical and medical problems in many regions of the world, including Slovakia. The purpose of this study was to survey the spread and distribution of this species in Slova...

Bazan, N., 2003: Lipid signaling toward apoptosis or survival in rpe and photoreceptors. Lipid messengers, generated by phospholipases A2 and C, are part of the complex signaling that determines cell fate. Lipid signaling cascades are activated during oxidative stress and repair responses. However, our understanding about the signific...

Mulder, W.J.M., 2016: Combination nanotherapy penetrates atherosclerosis. Cardiovascular Research 109(2): 191-192

Millington, A.C.; Drake, N.A.; White, K.; Bryant, R.G., 1995: Salt ramps: wind-induced depositional features on Tunisian playas. Semicircular and crescent-shaped accumulations of salt crystals developed on salt crusts were measured on three Tunisian playas in September 1990. These features have been termed salt ramps. Their morphology and chemistry suggest that they are for...

Enomoto, C.B.; Morse, D.G., 2009: Natural gas productivity of the Devonian Huron Member of the Ohio Shale in Virginia. AAPG, Eastern Section Meeting

Allal, A.S.; Zwahlen, D.; Becker, M.; Dulguerov, P.; Mach, N., 2016: Phase I trial of concomitant hyperfractionated radiotherapy with docetaxel and cisplatin for locally advanced head and neck carcinomas. NlmCategory="UNASSIGNED">5574 Background: To determine the maximum tolerated dose (MTD) of docetaxel when administered concomitantly with radical hyperfractionated radiotherapy (RT) and cisplatin in patients (pts) with locally advance...

Cunningham Dax, E., 2008: Obituary. Dr Eric Cunningham Dax AO (1908-2008). Australasian Psychiatry 16(3): 227-228