scholarly journals Determination of scan-plane motion using speckle decorrelation: Theoretical considerations and initial test

1997 ◽  
Vol 8 (1) ◽  
pp. 38-44 ◽  
Author(s):  
Jian-Feng Chen ◽  
J. Brian Fowlkes ◽  
Paul L. Carson ◽  
Jonathan M. Rubin
Keyword(s):  
Plane Motion ◽  
Initial Test ◽  
Theoretical Considerations

scholarly journals On the determination of step energies. Theoretical considerations and application to an anisotropic Kossel model

2006 ◽  
Vol 39 (4) ◽  
pp. 563-570 ◽  
Author(s):  
M. A. Deij ◽  
J. H. Los ◽  
H. Meekes ◽  
E. Vlieg
Keyword(s):  
Lattice Models ◽  
Single Step ◽  
Spiral Growth ◽  
Growth Theory ◽  
Two Dimensional ◽  
Island Growth ◽  
Growth Step ◽  
Step Flow ◽  
Theoretical Considerations

Steps on surfaces are important in crystal growth theory, as the step free energy determines the two-dimensional nucleation rate, island growth, step flow and spiral growth. In this paper, it is illustrated that in general in lattice models the step energy of a single step cannot be determined directly by counting broken bonds. A new method is proposed that uses the geometry of a step together with the bonding topology, allowing for a straightforward determination of single-step energies for any case. The method is applied to an anisotropic Kossel model.

Exact determination of gravity stresses in finite elastic slopes: Part I. Theoretical considerations

1983 ◽  
Vol 20 (1) ◽  
pp. 47-54 ◽  
Author(s):  
V. Silvestri ◽  
C. Tabib
Keyword(s):  
Plane Strain ◽  
Half Plane ◽  
Inclination Angle ◽  
Complex Variable ◽  
Earth Pressure ◽  
Exact Distributions ◽  
Exact Determination ◽  
Upper Half Plane ◽  
Theoretical Considerations

The exact distributions of gravity stresses are obtained within slopes of finite height inclined at various angles, −β (β = π/2, π/3, π/4, π/6, and π/8), to the horizontal. The solutions are obtained by application of the theory of a complex variable. In homogeneous, isotropic, and linearly elastic slopes under plane strain conditions, the gravity stresses are independent of Young's modulus and are a function of (a) the coordinates, (b) the height, (c) the inclination angle, (d) Poisson's ratio or the coefficient of earth pressure at rest, and (e) the volumetric weight. Conformal applications that transform the planes of the various slopes studied onto the upper half-plane are analytically obtained. These solutions are also represented graphically.

Determination of the Stress Distribution at the Interface Metal-Oxide: Numerical and Theoretical Considerations

2005 ◽  
Vol 237-240 ◽  
pp. 145-150 ◽  
Author(s):  
Sébastien Garruchet ◽  
A. Hasnaoui ◽  
Olivier Politano ◽  
Tony Montesin ◽  
J. Marcos Salazar ◽  
...  
Keyword(s):  
Molecular Dynamics ◽  
Stress Distribution ◽  
Oxide Film ◽  
Metal Oxide ◽  
Reaction Kinetics ◽  
Analytical Model ◽  
Equilibrium Thermodynamics ◽  
Theoretical Considerations ◽  
Molecular Dynamics Results

In this paper we give a brief presentation of the approaches we have recently developed on the oxidation of metals. Firstly, we present an analytical model based on non-equilibrium thermodynamics to describe the reaction kinetics present during the oxidation of a metal. Secondly, we present the molecular dynamics results obtained with a code specially tailored to study the oxidation and growth of an oxide film of aluminium. Our simulations present an excellent agreement with experimental results.

scholarly journals I. On the motion of fluid, part of which is moving rotationally and part irrotationally

1883 ◽  
Vol 36 (228-231) ◽  
pp. 276-284 ◽  
Keyword(s):  
Single Equation ◽  
Plane Motion ◽  
Vortex Lines ◽  
Irrotational Motion

Clebsch has show that the components of the velocity of a fluid u, v, w , parallel to rectangular axes x, y, z , may always be expressed thus— u = dX / dx + λ dψ / dx . v = dX / dy + λ dψ / dy , w = dX / dz +λ dψ / dz ; Where λ, ψ are systems of surfaces whose intersections determine the vortex lines; and the pressure satisfies an equation which is equivalent to the following— p /ρ + V = - dX / dt -1/2{( dX / dx ) 2 + ( dX / dy ) 2 + ( dX / dz ) 2 } + 1/2 λ 2 {( dψ / dx ) 2 + ( dψ / dy ) 2 + ( dψ / dz ) 2 } where p is the pressure, ρ the density, and V the potential of the forces acting on the liquid. It is shown in this paper that an equation in λ only can be obtained in the following cases (that is to say, as in cases of irrotational motion, the determination of the motion depends on the solution of a single equation only):— (1.) Plane motion, referred to rectangular co-ordinates x , y .

Practical and theoretical considerations for the determination of δ 13 C VPDB values of methylmercury in the environment

2019 ◽  
Vol 33 (13) ◽  
pp. 1122-1136 ◽  
Author(s):  
Philip J.H. Dunn ◽  
Mine Bilsel ◽  
Adnan Şimşek ◽  
Ahmet Ceyhan Gören ◽  
Murat Tunç ◽  
...  
Keyword(s):  
Theoretical Considerations

scholarly journals VLBI studies of the nutations of the earth

1988 ◽  
Vol 129 ◽  
pp. 371-375
Author(s):  
T. A. Herring
Keyword(s):  
Truncation Error ◽  
Very Long Baseline Interferometry ◽  
Long Baseline ◽  
The Earth ◽  
Vlbi Data ◽  
One Year ◽  
Nutation Series ◽  
Theoretical Considerations ◽  
Active Investigation

The application of very–long–baseline interferometry (VLBI) to the study of the nutations of the earth has yielded unprecedented accuracy for the experimental determination of the coefficients of the nutation series. The analysis of six years of VLBI data has yielded corrections to the coefficients of the seven largest terms in the IAU 1980 nutation series with periods of one year or less, with accuracies approaching the truncation error of this nutation series (0.1 mas). The nutation series coefficients computed from the VLBI data, and those obtained from theoretical considerations (the IAU 1980 nutation series), are in excellent agreement. The largest corrections are to the coefficients of the retrograde annual nutation [2.0 ± 0.1 mas], the prograde semiannual nutation [(0.5 - ι 0.4) ±0.1 mas], and the prograde 13.7 day nutation [−0.4 ± 0.1 mas]. (The imaginary term for the semiannual nutation represents a term 90° out–of–phase with the arguments of the nutation series.) The geophysical implications of these results are currently under active investigation. We discuss the methods used to extract the nutation information from the VLBI data, the calculations of the uncertainties of the resultant corrections to the coefficients of the nutation series, and the current research into the nutations of the earth.

Theoretical considerations in the determination of the attitude of Ariel III by optical means

1969 ◽  
Vol 311 (1507) ◽  
pp. 555-562
Keyword(s):  
Spin Axis ◽  
Axis Direction ◽  
Theoretical Considerations

Observations of the glints of sunlight reflected from surfaces on the Ariel III spacecraft are used to determine the satellite’s spin-axis direction. This paper describes the methods of analysing the observations.

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