Second strain gradient theory in cylindrical coordinatesAtomistic simulationSurface effectInterface effectRelaxed configurationCarbon-coated silicon nanowireThe phenomena of surface, interface, and size effects are the determinative factors in the prediction of the mechanical behavior of multiphase nanowires. The...
To illustrate the method, we start with a simple diffusion equation in cylindrical polar coordinates: oT ot ¼ 1 r o or rvðT 0 Þ oT or þ S: ð1aÞ Now, define a new independent variable, U, proportional to the area (or the toroidal magnetic flux if a uniform ...
By default, gradientm locates the latitude and longitude coordinates referenced by R using the spheroid contained in the Spheroid property of the geocrs object in the GeographicCRS property of R. If the GeographicCRS property of R is empty, then geopeaks uses GRS80. example [aspect,slope,grad...
We develop the general mathematical basis for space magnetic gradiometry in spherical coordinates. The magnetic gradient tensor is a second rank tensor con... S Kotsiaros,N Olsen - 《Gem International Journal on Geomathematics》 被引量: 31发表: 2012年 Earth's gravity gradient and eddy cur...
and north and east components of the gradient for a regular data gridFwith respect to a geographic referenceR. By default,gradientmlocates the latitude and longitude coordinates referenced byRusing the spheroid contained in theSpheroidproperty of thegeocrsobject in theGeographicCRSproperty ofR. If th...
We demonstrate that this metamaterial can be used to fabricate a cylindrical cloaking device opera... A Rottler,D Diedrich,D Heitmann,... 被引量: 3发表: 2012年 GRADIENT INDEX OPTICS IN THE EYE We theoretically investigate an optical metamaterial consisting of periodically arranged silver spheres ...
In addition, we found that the origin of Dean hydrodynamic instability (i.e., position of the Kmax) is placed in the radial position between the center of the duct and outer curvature wall at azimuthally angular position 胃 < 72掳. Results of Kmax and its cylindrical coordinates corresponding...
This gave each data point a distance in meters how far north and east it was of the centre of the storm at that given time. The wind speeds and directions obtained from the reconnaissance flights are also in terms of earth relative coordinates and need to be transformed into storm relative...
In spherical coordinates, for a microphone whose dimensions are small compared with r, Eq. (5.1) becomes (5.5)f˜D=−S∂p˜∂rΔlcosθ. The equation for a spherical wave is found from Eq. (2.142) (5.6)p˜(r)=A˜0e−jkrr Substituting (5.6) in (5.5) gives (5.7)f...
The cylindrical coordinates (r,θ,z) are adopted with the origin at the nanopore center. The axial symmetric nature of the present system implies that only the (r,z) domains needs be considered. Assuming pseudo-steady state [12,15] and incompressible Newtonian fluid, the present problem is ...