Analysis of elastic stability and structural response of face-centered cubic crystals subject to [110] loading

2006 ◽  
Vol 89 (18) ◽  
pp. 181907 ◽  
Author(s):  
Hadrian Djohari ◽  
Frederick Milstein ◽  
Dimitrios Maroudas
Keyword(s):  
Structural Response ◽  
Elastic Stability ◽  
Face Centered Cubic ◽  
Cubic Crystals ◽  
Face Centered

Monte Carlo Study of Dense Monolayer and Bilayer Films on the (100) Plane of Face-Centered Cubic Crystals

Langmuir ◽  
1999 ◽  
Vol 15 (10) ◽  
pp. 3642-3652 ◽  
Author(s):  
A. Patrykiejew ◽  
S. Sokołowski ◽  
T. Zientarski ◽  
K. Binder
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
Face Centered Cubic ◽  
Cubic Crystals ◽  
Bilayer Films ◽  
Face Centered

Applicability of Born’s stability criterion to face-centered-cubic crystals in [111] loading

2005 ◽  
Vol 87 (25) ◽  
pp. 251919 ◽  
Author(s):  
Frederick Milstein ◽  
Jianhua Zhao ◽  
Somchart Chantasiriwan ◽  
Dimitrios Maroudas
Keyword(s):  
Stability Criterion ◽  
Face Centered Cubic ◽  
Cubic Crystals ◽  
Face Centered

SOLID HARMONICS AS BASIS FUNCTIONS FOR CUBIC CRYSTALS

1959 ◽  
Vol 37 (3) ◽  
pp. 350-361 ◽  
Author(s):  
D. D. Betts
Keyword(s):  
Basis Functions ◽  
The Body ◽  
New Method ◽  
Face Centered Cubic ◽  
Body Centered Cubic ◽  
Cubic Crystals ◽  
Cubic Lattice ◽  
The Face ◽  
Face Centered ◽  
Body Centered Cubic Lattice

The various sets of basis functions useful in discussing cubic crystals must include sets of symmetrized combinations of powers of the co-ordinates ortho-gonalized over the cellular polyhedron. Such polynomials are here called solid harmonics. A study of the actual solid harmonics reveals the limitations of the spherical cell approximation. The solid harmonics can be used to develop a new method over the cellular polyhedron of the body-centered cubic lattice or of the face-centered cubic lattice.

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