Interfacial effects for shear waves in one dimensional periodic piezoelectric structure

2011 ◽  
Vol 330 (26) ◽  
pp. 6456-6466 ◽  
Author(s):  
K.B. Ghazaryan ◽  
D.G. Piliposyan
Keyword(s):  
Shear Waves ◽  
Interfacial Effects ◽  
One Dimensional ◽  
Piezoelectric Structure

scholarly journals Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii–Moriya interaction

2017 ◽  
Vol 473 (2197) ◽  
pp. 20160666 ◽  
Author(s):  
Cyrill B. Muratov ◽  
Valeriy V. Slastikov
Keyword(s):  
Domain Walls ◽  
Magnetocrystalline Anisotropy ◽  
Energy Functional ◽  
Multilayer Nanostructures ◽  
Interfacial Effects ◽  
One Dimensional ◽  
Modelling Framework ◽  
Lateral Extent ◽  
The One ◽  
Moriya Interaction

Recent advances in nanofabrication make it possible to produce multilayer nanostructures composed of ultrathin film materials with thickness down to a few monolayers of atoms and lateral extent of several tens of nanometers. At these scales, ferromagnetic materials begin to exhibit unusual properties, such as perpendicular magnetocrystalline anisotropy and antisymmetric exchange, also referred to as Dzyaloshinskii–Moriya interaction (DMI), because of the increased importance of interfacial effects. The presence of surface DMI has been demonstrated to fundamentally alter the structure of domain walls. Here we use the micromagnetic modelling framework to analyse the existence and structure of chiral domain walls, viewed as minimizers of a suitable micromagnetic energy functional. We explicitly construct the minimizers in the one-dimensional setting, both for the interior and edge walls, for a broad range of parameters. We then use the methods of Γ -convergence to analyse the asymptotics of the two-dimensional magnetization patterns in samples of large spatial extent in the presence of weak applied magnetic fields.

A piezoelectric energy harvester based on flow-induced flexural vibration of a circular cylinder

2011 ◽  
Vol 23 (2) ◽  
pp. 135-139 ◽  
Author(s):  
Jiemin Xie ◽  
Jiashi Yang ◽  
Hongping Hu ◽  
Yuantai Hu ◽  
Xuedong Chen
Keyword(s):  
Energy Harvester ◽  
Flexural Vibration ◽  
Flow Speed ◽  
Transverse Force ◽  
Dimensional Model ◽  
One Dimensional ◽  
Piezoelectric Energy ◽  
Piezoelectric Structure ◽  
Flow Induced Vibrations ◽  
Ceramic Cylinder

This article proposes a new piezoelectric structure for energy harvesting from flow-induced vibrations. It consists of a properly poled and electroded flexible ceramic cylinder. When it is in a flow perpendicular to its axis, the flow exerts a transverse force on the cylinder due to asymmetric vortex shedding, which drives the cylinder into flexural vibrations with an electrical output. A one-dimensional model is derived for the motion of the cylinder, which allows an analytical solution from which the basic behaviors of the energy harvester are calculated and examined. For a cylinder of 40 cm in length and [Formula: see text]cm in diameter in flowing air with a speed of 5 m/s, the output power is of the order of [Formula: see text]. It becomes significantly higher if the flow speed is increased.

scholarly journals THE EVOLUTIONARY EQUATION FOR ONE-DIMENSIONAL SHEAR WAVES OF A RUPTURE OF STRAINS

2017 ◽  
Vol 17 (2) ◽  
pp. 91-104
Author(s):  
Y.E. Ivanova ◽  
V.E. Ragozina
Keyword(s):  
Shock Wave ◽  
Boundary Conditions ◽  
Half Space ◽  
Asymptotic Expansions ◽  
Shear Waves ◽  
Evolutionary Equation ◽  
Evolutionary Equations ◽  
One Dimensional ◽  
The One ◽  
Nonlinear Elastic

The problem about formation and the subsequent distribution of the one-dimensional shear shock wave in nonlinear elastic incompressible isotropic half-space is solved. Application of a method of the spliced asymptotic expansions infront field of a shock wave leads to the evolutionary quasilinear wave equationwhich is distinct from the equations of Hopf, characteristic for volume shockwaves. Some methods of build-up of solutions for the evolutionary equations ofthe shift waves, allowing to consider the manifold time functions in the capacityof boundary conditions for a field of transitions, are offered.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

Electron-Mirror Microscopic Aspects of Ferroelectric Domains of BaTiO3 And Ca2Sr (C2H5CO2)6

1970 ◽  
Vol 28 ◽  
pp. 478-479
Author(s):  
Teruo Someya ◽  
Jinzo Kobayashi
Keyword(s):  
Surface Layer ◽  
Electric Fields ◽  
Quantitative Study ◽  
Recent Progress ◽  
Ferroelectric Domain ◽  
Resolving Power ◽  
Surface Pattern ◽  
Crystal Surfaces ◽  
One Dimensional ◽  
Ferroelectric Domains

Recent progress in the electron-mirror microscopy (EMM), e.g., an improvement of its resolving power together with an increase of the magnification makes it useful for investigating the ferroelectric domain physics. English has recently observed the domain texture in the surface layer of BaTiO3. The present authors ) have developed a theory by which one can evaluate small one-dimensional electric fields and/or topographic step heights in the crystal surfaces from their EMM pictures. This theory was applied to a quantitative study of the surface pattern of BaTiO3).

Structure and function of neural networks in the retina

1988 ◽  
Vol 46 ◽  
pp. 26-27
Author(s):  
Peter Sterling
Keyword(s):  
Ganglion Cells ◽  
Three Dimensional ◽  
Structure And Function ◽  
Synaptic Connections ◽  
Visual Axis ◽  
One Dimensional ◽  
Cat Retina ◽  
Ultrathin Sections ◽  
And Function ◽  
Insight Into

The synaptic connections in cat retina that link photoreceptors to ganglion cells have been analyzed quantitatively. Our approach has been to prepare serial, ultrathin sections and photograph en montage at low magnification (˜2000X) in the electron microscope. Six series, 100-300 sections long, have been prepared over the last decade. They derive from different cats but always from the same region of retina, about one degree from the center of the visual axis. The material has been analyzed by reconstructing adjacent neurons in each array and then identifying systematically the synaptic connections between arrays. Most reconstructions were done manually by tracing the outlines of processes in successive sections onto acetate sheets aligned on a cartoonist's jig. The tracings were then digitized, stacked by computer, and printed with the hidden lines removed. The results have provided rather than the usual one-dimensional account of pathways, a three-dimensional account of circuits. From this has emerged insight into the functional architecture.

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