Characterization of Low-Gravity Liquid Sloshing with Small Amplitude in a Cylindrical Cavity Basing on Bessel Expansion Method

When the radius of materials and structral devices reduces to nanometers, the inﬂuence of surface energy becomes prominent in its mechanical behavior. In the frame of surface elasticity, the scattering of anti-plan shear waves by an elastic half-plan with a semi-cylindrical cavity considered the surface energy are investigated in this paper. When the boundary condition at the straight edge of the half-plan is traction free, the analytical solutions of stress fields of the half plan with semi-culindrical cavity are expressed by employing a wave function expansion method. The results show that surface energy has a signiﬁcant effect on the scattering of anti-plan shear waves as the radius of the semi-cylindrical cavity shrinks to nanoscale. The effects of incident waves with different frequencies and incident angel, radius of semi-cylindrical cavity and surface energy on the dynamic stress concentration around the semi-cylindrical cavity are discussed in detail.

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Structural Characterization of Composition-Modulated ZnSel-xTex Epitaxial Films

MRS Proceedings ◽

10.1557/proc-417-295 ◽

1995 ◽

Vol 417 ◽

Author(s):

S. P. Ahrenkiel ◽

M. H. Bode ◽

M. M. Al-Jassim ◽

H. Luo ◽

S. H. Xin ◽

...

Keyword(s):

Cross Sections ◽

Small Amplitude ◽

Molecular Beam ◽

Growth Direction ◽

Epitaxial Films ◽

Modulation Amplitude ◽

Transmission Electron ◽

Short Period ◽

Strain Modulation

AbstractWe examine the microstructure of short-period (14–31 Å) composition modulations in epitaxial ZnSel-xTex ([email protected]) films grown by molecular-beam epitaxy (MBE) on vicinal (001) GaAs. Transmission electron microscope (TEM) images of cross-sections reveal highly-periodic contrast along the growth direction throughout the full thicknesses of the films (over 2 μm) that corresponds to a nearly sinusoidal variation between Se- and Te-rich compositions. Growth of ZnSe1-xTex at 285°C on substrates tilted 4° toward [1111 maximizes the strength and regularity of the modulation. Using dynamical electron-diffraction simulations, we estimate a modulation amplitude of [email protected](7) in a sample showing strong modulation. We assume a small amplitude of strain modulation to fit the experimental data.

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Commonalities in the electrostatic characterization of several thin conducting cylinders using the singularity expansion method

Journal of Electrostatics ◽

10.1016/0304-3886(89)90082-x ◽

1989 ◽

Vol 22 (2) ◽

pp. 161-176 ◽

Cited By ~ 1

Author(s):

Lloyd S. Riggs ◽

John M. Lindsey ◽

Thomas H. Shumpert

Keyword(s):

Expansion Method ◽

Thin Conducting ◽

Conducting Cylinders

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Experimental and Theoretical Studies of Liquid Sloshing at Simulated Low Gravity

Journal of Applied Mechanics ◽

10.1115/1.3607743 ◽

1967 ◽

Vol 34 (3) ◽

pp. 555-562 ◽

Cited By ~ 43

Author(s):

F. T. Dodge ◽

L. R. Garza

Keyword(s):

Natural Frequency ◽

Mechanical Model ◽

Small Diameter ◽

Bond Number ◽

Liquid Sloshing ◽

Theoretical Studies ◽

Low Gravity ◽

Equivalent Mechanical Model ◽

Experimental And Theoretical Studies ◽

Experimental Comparisons

Analyses and experimental comparisons are given for liquid sloshing in a rigid cylindrical tank under conditions of moderately small axial accelerations; in particular, the theory is valid for Bond numbers larger than 10. The analytical results are put in the form of an equivalent mechanical model, and it is shown that the sloshing mass and the natural frequency of the first mode, for a liquid having a 0 deg contact angle at the tank walls, are smaller than for high-g conditions. The experimental data, obtained by using several small-diameter tanks and three different liquids, are compared to the predictions of the mechanical model; good correlation is found in most cases for the sloshing forces and natural frequency as a function of Bond number.

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