Calculations of the Surface Stress Tensor at Aluminum (111) and (110) Surfaces

1987 ◽  
Vol 58 (1) ◽  
pp. 53-56 ◽  
Author(s):  
Richard J. Needs
Keyword(s):  
Stress Tensor ◽  
Surface Stress

Surface energy and surface stress tensor in an atomistic model

1976 ◽  
Vol 57 (2) ◽  
pp. 509-522 ◽  
Author(s):  
C.W. Price ◽  
J.P. Hirth
Keyword(s):  
Surface Energy ◽  
Stress Tensor ◽  
Surface Stress ◽  
Atomistic Model

scholarly journals Surface stress tensor and junction conditions on a rotating null horizon

2022 ◽  
Vol 105 (2) ◽  
Author(s):  
Philip Beltracchi ◽  
Paolo Gondolo ◽  
Emil Mottola
Keyword(s):  
Stress Tensor ◽  
Surface Stress ◽  
Junction Conditions

Surface Stress Tensor Mediation of the Ledge Nucleation/Growth Process with the Surface Reconstruction Process in GaAs

1987 ◽  
Vol 94 ◽  
Author(s):  
D. K. Choi ◽  
T. Halicioglu ◽  
W. A. Tiller
Keyword(s):  
Surface Energy ◽  
Stress Tensor ◽  
Surface Stress ◽  
Growth Process ◽  
Cluster Formation ◽  
Potential Energy Function ◽  
Two Dimensional ◽  
Reconstruction Process ◽  
Three Body ◽  
The Impact

ABSTRACTA new GaAs semiempirical potential energy function which utilizes both two-body and three-body contributions has been used to evaluate the surface energy and surface stress tensor for the (111) and (001)(As-terminated) surfaces as well as for ledges on the (001) surface. Both surface and ledge reconstruction patterns appear to be driven by stress tensor considerations and a long range ledge-ledge interaction arises via the stress tensor. The impact of this finding on two dimensional cluster formation and nucleation at the growing surface is very substantial.

Gluing Solutions

2017 ◽  
Author(s):  
Philip Isett
Keyword(s):  
Stress Tensor ◽  
Compact Support ◽  
Smooth Solution ◽  
Continuous Solution ◽  
Total Momentum ◽  
Frame Of Reference ◽  
Galilean Transformation ◽  
Hölder Continuous ◽  
Pressure Form ◽  
Original Frame

This chapter deals with the gluing of solutions and the relevant theorem (Theorem 12.1), which states the condition for a Hölder continuous solution to exist. By taking a Galilean transformation if necessary, the solution can be assumed to have zero total momentum. The cut off velocity and pressure form a smooth solution to the Euler-Reynolds equations with compact support when coupled to a smooth stress tensor. The proof of Theorem (12.1) proceeds by iterating Lemma (10.1) just as in the proof of Theorem (10.1). Applying another Galilean transformation to return to the original frame of reference, the theorem is obtained.

Propagation and Reflection of Plane Waves in a Rotating Magneto-Elastic Fibre-Reinforced Semi Space with Surface Stress

2020 ◽  
Vol 22 (4) ◽  
pp. 939-958
Author(s):  
Indrajit Roy ◽  
D. P. Acharya ◽  
Sourav Acharya
Keyword(s):  
Surface Stress ◽  
Incident Angle ◽  
Plane Waves ◽  
Three Dimensional ◽  
Elastic Fibre ◽  
Amplitude Ratios ◽  
Governing Equations ◽  
Rotation Surface ◽  
Wave Velocities ◽  
Magnetic Field Rotation

AbstractThe present paper investigates the propagation of quasi longitudinal (qLD) and quasi transverse (qTD) waves in a magneto elastic fibre-reinforced rotating semi-infinite medium. Reflections of waves from the flat boundary with surface stress have been studied in details. The governing equations have been used to obtain the polynomial characteristic equation from which qLD and qTD wave velocities are found. It is observed that both the wave velocities depend upon the incident angle. After imposing the appropriate boundary conditions including surface stress the resultant amplitude ratios for the total displacements have been obtained. Numerically simulated results have been depicted graphically by displaying two and three dimensional graphs to highlight the influence of magnetic field, rotation, surface stress and fibre-reinforcing nature of the material medium on the propagation and reflection of plane waves.

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