scholarly journals Centrosymmetric Li2NaN: a superior topological electronic material with critical-type triply degenerate nodal points

2019 ◽  
Vol 7 (5) ◽  
pp. 1316-1320 ◽  
Author(s):  
Lei Jin ◽  
Xiaoming Zhang ◽  
Xuefang Dai ◽  
Heyan Liu ◽  
Guifeng Chen ◽  
...  

Li2NaN is a realistic triply degenerate nodal point material with several superior characteristics.

2020 ◽  
Vol 72 (12) ◽  
pp. 55-56
Author(s):  
Chris Carpenter

This article, written by JPT Technology Editor Chris Carpenter, contains highlights of paper SPE 197231, “Recognition and Mitigation of the Bottomhole Assembly Lateral Vibration Chatter Mode,” by Jeffrey R. Bailey, SPE, and Harshit Lathi, ExxonMobil, and Matthew T. Prim, SPE, ADNOC, et al., prepared for the 2019 Abu Dhabi International Petroleum Exhibition and Conference, Abu Dhabi, 11-14 November. The paper has not been peer reviewed. Lateral vibration modeling of certain bottomhole assembly (BHA) designs has shown great sensitivity to the proximity of stabilizer blades. This paper explores the nature of the vibrational dysfunction known as BHA chatter. A field-proven frequency-domain model illustrates the cause of the dysfunction, its rotary-speed dependence, and mitigation methods and results. The complete paper provides three case studies exploring this phenomenon, one of which is included in this synopsis. Introduction The authors first describe the similarities and differences of a BHA and a stringed instrument. The string of a violin, for example, typically has two fixed nodal points: the first at the bridge, which does not change, and the second at the position of the musician’s finger, which is moved along the fingerboard in order to play notes of different frequencies. The finger pressing on the string causes it to have zero displacement at that location, which defines a nodal point. Additional nodal points may occur in the motion of the string as harmonics of the fundamental mode, but these are not considered to be fixed nodes because the amplitudes of the harmonics vary. The string is relatively flexible, so it can be described adequately with a second-order differential equation. Significantly, a BHA typically has more than two nodes. A lateral wave propagating along the BHA must satisfy the nodal point constraint of zero lateral deflection at all these locations. These nodes typically are placed without regard to the frequency of the wave traveling along the string, which is governed by the rotary speed and the type of lateral excitation. The geometric compatibility requirement that the pipe has zero displacement at the fixed nodes has ramifications. The nodal point constraints force the pipe to adapt to the locations of these nodes through contact forces that literally push the pipe back into position to honor the constraints. In some scenarios, this process requires large forces. One consequence of large forces pushing the pipe to maintain geometric compatibility is that these forces are applied to the outer diameter of a body that is rotating, so this response may also generate torque and associated wear of the contacting surfaces. This observation applies to both static and dynamic forces but most commonly is recognized in the static domain. It is not typically recognized in dynamics as applied to BHA design.


2019 ◽  
Vol 147 (1) ◽  
pp. 69-84 ◽  
Author(s):  
Adam R. Herrington ◽  
Peter H. Lauritzen ◽  
Mark A. Taylor ◽  
Steve Goldhaber ◽  
Brian E. Eaton ◽  
...  

Atmospheric modeling with element-based high-order Galerkin methods presents a unique challenge to the conventional physics–dynamics coupling paradigm, due to the highly irregular distribution of nodes within an element and the distinct numerical characteristics of the Galerkin method. The conventional coupling procedure is to evaluate the physical parameterizations ( physics) on the dynamical core grid. Evaluating the physics at the nodal points exacerbates numerical noise from the Galerkin method, enabling and amplifying local extrema at element boundaries. Grid imprinting may be substantially reduced through the introduction of an entirely separate, approximately isotropic finite-volume grid for evaluating the physics forcing. Integration of the spectral basis over the control volumes provides an area-average state to the physics, which is more representative of the state in the vicinity of the nodal points rather than the nodal point itself and is more consistent with the notion of a “large-scale state” required by conventional physics packages. This study documents the implementation of a quasi-equal-area physics grid into NCAR’s Community Atmosphere Model Spectral Element and is shown to be effective at mitigating grid imprinting in the solution. The physics grid is also appropriate for coupling to other components within the Community Earth System Model, since the coupler requires component fluxes to be defined on a finite-volume grid, and one can be certain that the fluxes on the physics grid are, indeed, volume averaged.


2018 ◽  
Vol 17 (6) ◽  
pp. 713-743 ◽  
Author(s):  
Anna Batistová ◽  
Nico Carpentier

Abstract The article’s objective is to analyse the discursive construction of the Czech nation in three cultural magazines, produced by Czech exiles in London during WWII. The theoretical backbone for this analysis is provided by Laclau and Mouffe’s (1985) discourse theory, which in turn supports a discourse-theoretical re-reading of the literature on the nation, first in general and then in relation to the Czech nation. These three theoretical components support an analysis of 650 selected contributions in 36 issues of the three main cultural journals of the Czech London exile: Obzor [Horizon], Kulturní zápisník [Cultural Notebook] and Review. This discourse-theoretical analysis shows the presence, particularity and contingency of a series of internal nodal points (temporal, spatial, linguistic, cultural and popular), in combination with the external nodal point of diversity in relation to outgroups. In the conclusion, the political nature of this construction, which we label the politics of poetry, is emphasized.


1971 ◽  
Vol 6 (1) ◽  
pp. 45-52 ◽  
Author(s):  
P B Lindley

A finite-element programme has been developed for the analysis of stretched rubber sheets. The elastic energy of each of the homogeneously deformed triangular elements into which the sheet is divided can be determined from the displacements of its nodal points and a suitable strain-energy function. Each nodal point of the sheet is considered in turn and moved to a position which minimizes the energy of all the elements local to it. This iterative process is continued until the total energy of the sheet is minimized. A modified classical-elasticity-theory programme provides the first approximation. The boundary conditions are specified displacements, assumed to arise from the use of rigid clamps. The results are in good agreement with experiment for peak strains of about 150 per cent. Computation time on a CDC 6600 computer is about 0.005 × (nodal points)2 seconds.


2017 ◽  
Vol 754 ◽  
pp. 161-164
Author(s):  
Yohei Sonobe ◽  
Takuichiro Ino ◽  
Akihide Saimoto ◽  
Md. Abdul Hasib ◽  
Atsuhiro Koyama ◽  
...  

In a standard body force method analysis, a mesh division is required to define the boundary of a problem and to solve a governing equation using discretization procedure. However, in the present study, a moving least square strategy is introduced to define a weight function for the density of body force doublet and therefore a crack analysis is carried out without providing a standard mesh-division. Hence, the standard crack face elements are not required at all. A variety of 3D crack problems can be analyzed simply by providing a data that only de nes a crack front. Besides the nodal points for crack front, several internal nodes are generated on the crack face to represent a distribution of unknown function. At the internal nodes, an unknown variable is assigned which uniquely de ne a distribution of the relative crack face displacement. In the present approach, a crack problem is formulated as a singular integral equation whose unknown is a value of the weight function at the internal nodal points. A crack growth can be simulated directly by changing the shape of crack front, by means of adding a new nodal point in the vicinity of the current crack front. In the present paper, the proposed method is used to simulate a coalescence of interacting planar cracks.


2006 ◽  
Vol 306-308 ◽  
pp. 721-726 ◽  
Author(s):  
Dun Fu Zhang ◽  
Wei Shen Zhu ◽  
Shu Cai Li

The formulation and implementation of three-dimensional element free Galerkin method (3D EFG) are developed. A simple and efficient scheme for a variable domain of influence stipulates that a constant number of nodal points are visible from each integration location is proposed. This method significantly increases the efficiency of the variable domain of influence by limiting the size of the least-square problem that is solved when computing approximate functions. The 3D EFG methods based on moving least square method use only nodal points to built local and global approximation. Discrete model of the 3D EFG for three-dimensional elastic problems is derived by least potential energy principle. Reference to the 2D EFG, in the 3D EFG, it is enforced to meet displacements boundary conditions by use of limiting nodal point number method and penalty method. The stress concentration of a small column-shaped cavity in a cube subjected to uniaxial uniform tension at two opposing faces in far field. Compared the approximation solutions with theory ones, the results indicate that the 3D EFG is validity in solving three-dimensional elastic problems and the limiting nodal point number method is validity.


1996 ◽  
pp. 13-23
Author(s):  
Mykhailo Babiy

Political ideological pluralism, religious diversity are characteristic features of modern Ukrainian society. On the one hand, multiculturalism, socio-political, religious differentiation of the latter appear as important characteristics of its democracy, as a practical expression of freedom, on the other - as a factor that led to the deconsocialization of society, gave rise to "nodal points" of tension, confrontational processes, in particular, in political and religious spheres.


2017 ◽  
Vol 921 (3) ◽  
pp. 30-35
Author(s):  
N.G. Ivlieva ◽  
V.F. Manukhov

GIS are closely related to mathematical cartography, as they work with spatially coordinated data. Practical course in mathematical cartography should meet the requirements of time and include tasks involving the use of modern GIS technologies. The functionality of GIS packages allow you to easily create maps in a given map projection, draw graticules and measured grids, perform dimensions on maps. This article is devoted to the research of map projection properties on the basis of GIS technologies in a practical course of mathematical cartography. The focus is on visual way to display local and regional distortions on maps. To create lines of equal distortion should use special software tools that allow to build digital models of surface distortion distribution directly on formulas or be interpolated both discretely located nodal points and isolines.


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