Elastic properties of single crystals and polycrystalline aggregates

1955 ◽  
Vol 41 (3) ◽  
pp. 72-90 ◽  
Author(s):  
S. Bhagavantam
1965 ◽  
Vol 2 (6) ◽  
pp. 673-683 ◽  
Author(s):  
W. M. Schwerdtner ◽  
J. C.-M. Tou ◽  
P. B. Hertz

The nine moduli of compliance for anhydrite were obtained in uniaxial compression tests. The displacements were measured by strain gauges of an electrical resistance variety (Budd MetalFilm). Geophysical constants for the polycrystalline aggregates were also computed.


1995 ◽  
Vol 05 (C8) ◽  
pp. C8-729-C8-734
Author(s):  
A.I. Lotkov ◽  
V.P. Lapshin ◽  
V.A. Goncharova ◽  
H.V Chernysheva ◽  
V.N. Grishkov ◽  
...  

Author(s):  
М. Раранський ◽  
В. Балазюк ◽  
М. Мельник ◽  
О. Горда ◽  
М. Гунько

2017 ◽  
Vol 53 (1) ◽  
pp. 1-7 ◽  
Author(s):  
J. Wang ◽  
Y. Du ◽  
X. Tao ◽  
Y. Ouyang ◽  
L. Zhang ◽  
...  

Systematic first-principles calculations of the single crystal elastic stiffness constants (cij?s) and the polycrystalline aggregates including bulk modulus (B), shear modulus (G), Young?s modulus (E) have been performed for series binary and ternary Al compounds at 0 K. In addition, the temperature-dependent elastic properties for some technologically important phases are calculated. The cij?s are calculated by means of an efficient strain-stress method. Phonon density of states or Debye model is employed to calculate the linear thermal expansion, which is then used to calculate the temperature dependence of elastic properties. The calculated temperature-dependent elastic properties are compiled in the format of CALPHAD (CALculation of PHAse Diagram) type formula. The presently computed elastic properties for Al compounds are needed for simulation of microstructure evolution of commercial Al alloys during series of processing route.


2006 ◽  
Vol 89 (5) ◽  
pp. 1624-1631 ◽  
Author(s):  
Jurgen Schreuer ◽  
Bernd Hildmann ◽  
Hartmut Schneider

2005 ◽  
Vol 53 (3) ◽  
pp. 569-580 ◽  
Author(s):  
R.B. Schwarz ◽  
H.T. Bach ◽  
U. Harms ◽  
D. Tuggle

1966 ◽  
Vol 8 (5) ◽  
pp. 412-414
Author(s):  
G. P. Benediktova ◽  
G. N. Dubinin ◽  
M. G. Karpman ◽  
G. V. Shcherbedinskii

The Diffraction of Electrons by Single Crystals . 1. The diffraction of electron waves has been observed both with single crystals and with polycrystalline aggregates. So far most of the work with single crystals has been done with slow electrons of a few hundred volts energy. While the results are in general agreement with wave mechanics, they differ considerably from the predictions of the simple theory, even when the latter is extended to include a consideration of the inner potential of the crystal. Part of the discrepancy is caused by undue simplification of the theory, and better results have been got with the more elaborate theory of Morse, but there are a number of cases in which beams corresponding to half order spectra and reflection by “forbidden” crystal planes have been recorded, and for these the present theory is quite unable to account. Experiments with fast electrons on polycrystalline aggregates have shown results in full agreement with the simple theory, and it is hoped that electron diffraction will become a valuable method for the study of surface films Clearly, however, this cannot be done satisfactorily as long as there is any doubt of the ability of the existing theory to explain the diffraction by known structures. It is therefore of importance to see whether any abnormalities exist for single crystals with fast electrons. So far the only work in this connection is that of Kikuchi and others on mica, that of Niskikawa and Kikuchi on calcite, and some work by Emslie at Aberdeen on galena and calcite. Kikuchi’s work shows complete agreement with theory, but has unusual features on account of the large spacing of mica across the cleavage face. The work on calcite is complicated by charging up of the crystal, and galena, as the present author has found, changes under the influence of the rays, so that it is difficult to draw precise conclusions. No metals have been investigated. The present work has, therefore, been undertaken. It consists of a detailed investigation of the diffraction of electrons of from 30,000 to 50,000 volts by single crystals of rocksalt, copper and silver.


Sign in / Sign up

Export Citation Format

Share Document