Plane Boundary(平面边界)研究综述
Plane Boundary 平面边界 - The blockage effect leads to an entrainment of the flow passing through the gap and a low-speed recirculation is formed at the plane boundary in the region of x/D. [1] The resulting electric-potential and temperature fields of the plane boundary-value problems are obtained using the finite-difference method under different physical conditions. [2] A wake oscillator model to predict Vortex-Induced Vibrations (VIV) of a rigid cylinder elastically mounted with two Degrees of Freedom (2-DOF) placed near a plane boundary is proposed. [3] However, there are no relations binding the values of all components of the stress-strain state at the half-plane boundary This paper shows that arbitrary formulation of the boundary conditions considerably simplifies integral equations and transfers them to the class of Fredholm’s first kind equations. [4] Flamant in the nineteenth century specifies the stresses and the displacements induced in a half-plane by a concentrated force applied to the half-plane boundary in the normal direction. [5] Three-dimensional flow characteristics around a horizontal circular cylinder near a plane boundary are investigated using a Direct Numerical Simulation (DNS) at the Reynolds number of 350. [6] Namely, it can be sliding support or rigid fixation of a half-plane on the half-space boundary, the half-plane boundary should be parallel to the straight-line (the punch system axis) for arbitrary finite distance between the parallel lines. [7] Temporal and spatial vortex shedding evolution for flow around a circular cylinder near a plane boundary is investigated using three-dimensional direct numerical simulation, with a parameter space of boundary layer thickness-to-diameter δ/D = 0–1. [8] We consider dissipative Dyakonov plasmon-polaritons as surface waves propagating along the plane boundary of a hyperbolic metamaterial with an arbitrary orientation of the crystallographic axis. [9] The Cl2/O2 plasma etching results indicate that the time-dependent etching mechanism of diamond nano-needles results from (1 1 1) crystal plane selective etching and preferential graphitisation at the twin-plane boundary and dislocation area. [10] The principle of determining the plane boundary of sedimentary phases was established, and a more systematic method for determining the plane distribution of braided river phases was formed. [11] ABSTRACT The scattering of electromagnetic waves by a homogeneous sphere near a plane boundary is presented in this paper. [12] A diffraction problem for a flat Chern-Simons layer at plane boundary of a dielectric half space is solved. [13] The transient interaction of a rigid convex indenter with elastic half-plane boundary is investigated in this paper. [14] Although there are methods to machine free-form surfaces, serious distortion in the concave–convex characteristic of the flattened-plane boundary, high deformation of the surface geometry, and single limitation of the surface topology are usually produced. [15] When the wavenumber is large, the frequency equation is reduced to that of Rayleigh-type surface wave at the plane boundary of a poroelastic half-space. [16] Rolling contact is simulated by a translational motion of concentrated forces along the half-plane boundary. [17] Scanning tunneling microscopy measurements indicate that a sharp zigzag in-plane boundary is formed when graphene grows aligned with the Pt substrate and consequently with the h-BN layer as well. [18] ABSTRACT The problem of light scattering by a homogeneous sphere above a plane boundary is considered in this paper. [19] In addition to this, problems for the reflection of small amplitude homogeneous waves from the plane boundary of an initially stressed half-space are also considered and graphical results are included, which show the effect of initial stress on reflection. [20] The distributed dislocation technique is developed for the transient analysis of functionally graded magneto-electro-elastic half-plane where cracks are parallel/perpendicular with respect to the half-plane boundary. [21]阻塞效应导致通过间隙的流动被夹带，并且在 x/D 区域的平面边界处形成低速再循环。 [1] 在不同物理条件下，使用有限差分法获得了平面边值问题的电势场和温度场。 [2] 提出了一种尾流振荡器模型来预测刚性圆柱体的涡激振动（VIV），该圆柱体弹性安装在靠近平面边界的两个自由度（2-DOF）上。 [3] 然而，在半平面边界处，应力-应变状态的所有分量的值之间没有关系。本文表明，边界条件的任意公式化大大简化了积分方程，并将它们转移到 Fredholm 第一类方程的类中。 [4] Flamant 在 19 世纪指定了在法线方向上施加到半平面边界的集中力在半平面内引起的应力和位移。 [5] 使用雷诺数为 350 的直接数值模拟 (DNS) 研究平面边界附近水平圆柱周围的三维流动特性。 [6] 即在半空间边界上可以是半平面的滑动支撑或刚性固定，半平面边界应平行于直线（打孔系统轴），平行线之间的距离为任意有限。 [7] 使用三维直接数值模拟研究平面边界附近圆柱体周围流动的时空涡旋脱落演化，参数空间为边界层厚度与直径 δ/D = 0–1。 [8] 我们将耗散 Dyakonov 等离子体激元视为沿具有任意晶轴方向的双曲超材料的平面边界传播的表面波。 [9] Cl2/O2等离子刻蚀结果表明，金刚石纳米针的时间依赖性刻蚀机理是由（111）晶面选择性刻蚀和双晶界面和位错区的优先石墨化引起的。 [10] 确立了沉积相平面边界确定原则，形成了较为系统的辫状河相平面分布确定方法。 [11] 摘要 本文介绍了平面边界附近均匀球体对电磁波的散射。 [12] 解决了电介质半空间平面边界处平坦 Chern-Simons 层的衍射问题。 [13] 本文研究了刚性凸压头与弹性半平面边界的瞬态相互作用。 [14] 尽管有加工自由曲面的方法，但通常会产生平面边界的凹凸特性严重变形，表面几何变形大，表面拓扑单一限制。 [15] 当波数较大时，频率方程在多孔弹性半空间的平面边界处简化为瑞利型表面波。 [16] 滚动接触是通过沿半平面边界的集中力的平移运动来模拟的。 [17] 扫描隧道显微镜测量表明，当石墨烯与 Pt 衬底对齐并因此与 h-BN 层对齐时，会形成尖锐的锯齿形面内边界。 [18] 摘要 本文研究了平面边界上方均匀球体的光散射问题。 [19] 除此之外，还考虑了从初始应力半空间的平面边界反射小振幅均匀波的问题，并包括图形结果，显示了初始应力对反射的影响。 [20] 分布式位错技术被开发用于功能梯度磁电弹性半平面的瞬态分析，其中裂纹相对于半平面边界平行/垂直。 [21]
fluctuating massless scalar
In this work, we study the dynamics of quantum correlation for two uniformly accelerated atoms immersed in a bath of fluctuating massless scalar field with a perfectly reflecting plane boundary in the Minkowski vacuum. [1] We firstly construct the noisy model of QSS via two uniformly accelerated atoms coupled with a fluctuating massless scalar field with a perfectly reflecting plane boundary and then derive the master equation that governs the QSS evolution. [2] In this paper, we explore the dynamics of quantum correlation for two circularly accelerated atoms interacting with a bath of fluctuating massless scalar field with a reflecting plane boundary. [3]在这项工作中，我们研究了两个均匀加速的原子的量子相关动力学，这两个原子浸入在 Minkowski 真空中具有完美反射平面边界的波动无质量标量场浴中。 [1] 我们首先通过两个均匀加速的原子加上一个具有完美反射平面边界的波动无质量标量场来构建 QSS 的噪声模型，然后推导出控制 QSS 演化的主方程。 [2] nan [3]
Reflecting Plane Boundary
We study, in the framework of the entanglement harvesting protocol, the entanglement harvesting of both a pair of inertial and uniformly accelerated detectors locally interacting with vacuum massless scalar fields subjected to a perfectly reflecting plane boundary. [1] In this paper, we analyze the decohering power behaviors for an atom immersed in a thermal bath of fluctuating electromagnetic field in the presence of a perfectly reflecting plane boundary. [2] In this work, we study the dynamics of quantum correlation for two uniformly accelerated atoms immersed in a bath of fluctuating massless scalar field with a perfectly reflecting plane boundary in the Minkowski vacuum. [3] We firstly construct the noisy model of QSS via two uniformly accelerated atoms coupled with a fluctuating massless scalar field with a perfectly reflecting plane boundary and then derive the master equation that governs the QSS evolution. [4] In this paper, we explore the dynamics of quantum correlation for two circularly accelerated atoms interacting with a bath of fluctuating massless scalar field with a reflecting plane boundary. [5]我们在纠缠收获协议的框架内研究了一对惯性和均匀加速探测器与真空无质量标量场在完美反射平面边界下局部相互作用的纠缠收获。 [1] 在本文中，我们分析了在存在完美反射平面边界的情况下，原子浸入波动电磁场的热浴中的退相干功率行为。 [2] 在这项工作中，我们研究了两个均匀加速的原子的量子相关动力学，这两个原子浸入在 Minkowski 真空中具有完美反射平面边界的波动无质量标量场浴中。 [3] 我们首先通过两个均匀加速的原子加上一个具有完美反射平面边界的波动无质量标量场来构建 QSS 的噪声模型，然后推导出控制 QSS 演化的主方程。 [4] nan [5]
Free Plane Boundary
A system of three homogeneous equations governs the existence of a Rayleigh wave at the stress-free plane boundary of the medium. [1] It has been verified that there is no dissipation of energy at the free plane boundary during reflection phenomena. [2]一个由三个齐次方程组成的系统控制着瑞利波在介质的无应力平面边界处的存在。 [1] 已经证实在反射现象期间在自由平面边界处没有能量耗散。 [2]
Solving Plane Boundary
The article is devoted to the construction of a numerical algorithm for solving plane boundary value problems for the Poisson equation. [1] The finite element algorithm and programs for solving plane boundary-value problems are developed. [2]本文致力于构建求解泊松方程平面边值问题的数值算法。 [1] nan [2]
Space Plane Boundary 空间平面边界
While bulk domains are treated as linearly isotropic elastic solids, both the half-space plane boundary and the matrix/inhomogeneity interface are modeled by the Steigmann–Ogden theory. [1] This paper examines the interface elasticity between an elastic half-space and a spherical nanoinhomogeneity subjected to a unidirectional far-field tension that is parallel to the half-space plane boundary. [2]虽然体域被视为线性各向同性弹性固体，但半空间平面边界和基体/非均匀界面均由 Steigmann-Ogden 理论建模。 [1] 本文研究了弹性半空间和球形纳米不均匀性之间的界面弹性，该界面弹性受到平行于半空间平面边界的单向远场张力的影响。 [2]
plane boundary condition 平面边界条件
First, a method of analysis is proposed to obtain the in-plane natural frequencies of plates under any in-plane boundary conditions of free, clamp and two types of simple supports, and this method makes it possible to calculate the frequencies of rectangular plates subject to 256(=4 powered by 4) sets of boundary conditions. [1] Consequently, the outcomes demonstrate that GPL’s weight fraction, in-plane boundary condition, radial and circumferential initially stresses, and Biot's coefficient have a remarkable impact on the bending responses of the circular/annular sector plates. [2] In order to account for practical situations of in-plane boundary condition, the elasticity of tangential constraint of boundary edges is included. [3] The new solutions address six different cases of in-plane and out-of-plane boundary conditions, and provide an interesting insight into the dynamics of such shells. [4] The in-plane boundary conditions demonstrated minimal influence on ROI mechanics for a 2-by-2 unit cell. [5] The nano-sheets are regarded to be on elastic foundations and different out-of-plane boundary conditions are considered for graphene sheets. [6] Depending on the out-of-plane boundary condition, single ply and infinitely stacked symmetric and antisymmetric plies were also considered to investigate the effect of stacking sequence on the in-plane properties. [7] The cylindrical panel is described by the Donnell nonlinear shallow shell theory and the lateral displacement field is based on a perturbation procedure, generating a precise low-dimensional model that satisfies out-of-plane boundary conditions and considers the forthcoming nonlinear modal coupling due to quadratic and cubic terms in a nonlinear equilibrium equation. [8] A parametric study is carried out to determine the influences of foundation stiffness, temperature variation, FG distribution pattern, in-plane boundary condition and panel curvature ratio on the natural frequencies and the nonlinear to linear frequency ratios of the doubly curved FG-GRC laminated panels. [9] These calculations were based on the periodic in-plane boundary conditions which, as is well known from classical electrodynamics, for systems with long-range interactions can lead to field distortions and considerable discrepancies between results of different calculation methods. [10] Various examples are demonstrated to discuss the influences of effective parameters such as power law index in the FGM formulation, thickness of the plate, temperature dependency, sector opening angle, values of the radius, in-plane boundary conditions, and type of rapid heating boundary conditions on thermally induced response of the FGM plate under thermal shock. [11] To verify the effectiveness of the proposed strategy, different structures undergoing either in-plane or out-plane boundary conditions have been selected and theoretically investigated, determining the optimal fibers' maps and showing the related results in comparison to standard sequences of alternate fibers disposition for the same composites. [12]首先，提出了一种求解自由、夹持和两种简单支撑面内边界条件下板的面内固有频率的分析方法，该方法使计算矩形板的频率成为可能。到 256（=4 由 4）组边界条件。 [1] 因此，结果表明 GPL 的重量分数、面内边界条件、径向和周向初始应力以及 Biot 系数对圆形/环形扇形板的弯曲响应具有显着影响。 [2] 为了考虑面内边界条件的实际情况，引入了边界边缘的切向约束弹性。 [3] 新的解决方案解决了平面内和平面外边界条件的六种不同情况，并为此类壳的动力学提供了有趣的见解。 [4] 平面内边界条件对 2×2 晶胞的 ROI 力学影响最小。 [5] 纳米片被认为是在弹性基础上，并且石墨烯片考虑了不同的面外边界条件。 [6] 根据面外边界条件，还考虑了单层和无限堆叠的对称和反对称层来研究堆叠顺序对面内特性的影响。 [7] nan [8] nan [9] nan [10] nan [11] nan [12]
plane boundary constraint 平面边界约束
It is well known that the nonlinear response of a beam or plate is sensitive to the assumptions made about the in-plane boundary constraints. [1] The application of Lagrangian multiplier method overcomes some limitations inherent in semi-inverse method in terms of constructing Rayleigh-Ritz formulation, and thus provides generality to model general in-plane boundary constraint. [2] Contributions of in-plane boundary constraints due to surrounding thermal sealing materials are taken into accounted by giving equivalent in-plane boundary stiffness. [3]众所周知，梁或板的非线性响应对有关面内边界约束的假设很敏感。 [1] 拉格朗日乘子法的应用克服了半逆法在构造Rayleigh-Ritz公式方面固有的一些局限性，从而为一般面内边界约束的建模提供了通用性。 [2] nan [3]
plane boundary element 平面边界单元
Applying a time-domain half-plane boundary element method. [1] In this paper, the seismic response of elastic homogeneous ground surface was presented in the presence of unlined horseshoe-shaped underground cavities subjected to obliquely propagating incident SH-waves by using the time-domain half-plane boundary element method (BEM). [2]应用时域半平面边界元法。 [1] 本文采用时域半平面边界元法（BEM），研究了在斜向传播的入射SH波作用下存在无衬里马蹄形地下空腔的弹性均质地表的地震响应。 [2]