Causal Stroh formalism for uniformly-moving dislocations in anisotropic media: Somigliana dislocations and Mach cones

In this work, Stroh’s formalism is endowed with causal properties on the basis of an analysis of the radiation condition in the Green tensor of the elastodynamic wave equation. The modified formalism is applied to dislocations moving uniformly in an anisotropic medium. In practice, accounting for causality amounts to a simple analytic continuation procedure whereby to the dislocation velocity is added an infinitesimal positive imaginary part. This device allows for a straightforward computation of velocity-dependent field expressions that are valid whatever the dislocation velocity–including supersonic regimes–without needing to consider subsonic and supersonic cases separately. As an illustration, the distortion field of a Somigliana dislocation of the Peierls–Nabarro–Eshelby-type with finite-width core is computed analytically, starting from the Green’s tensor of elastodynamics. To obtain the result in the form of a single compact expression, use of the modified Stroh formalism requires splitting the Green’s function into its reactive and radiative parts. In supersonic regimes, the solution obtained displays Mach cones, which are supported by Dirac measures in the Volterra limit. From these results, an explanation of Payton’s ‘backward’ Mach cones (Payton, 1995) is given in terms of slowness surfaces, and a simple criterion for their existence is derived. The findings are illustrated by full-field calculations from analytical formulas for a dislocation of finite width in iron, and by Huygens-type geometric constructions of Mach cones from ray surfaces.     

Numerical analysis of high Mach flow and flow reversal in the experimental advanced superconducting tokamak divertor

The B2-Eirene (SOLPS 4.0) code package is used to investigate the plasma parallel flow, i.e., the scrape-off layer (SOL) flow, in the experimental advanced superconducting tokamak (EAST) divertor. Simulation results show that the SOL flow in the divertor region can exhibit complex behaviour, such as a high Mach flow and flow reversal in different plasma regimes. When the divertor plasma is in the detachment state, the high Mach flow with approaching or exceeding sonic speed is observed away from the target plate in our simulation. When the divertor plasma is in the high recycling state, the flow reversal with a small Mach number (|M|< 0.2) is observed near the X-point along the separatrix region. The driving mechanisms for the high Mach flow and the reversed flow are analysed theoretically through momentum and continuity equations, respectively. The profile of the ionization sources is shown to be a possible formation condition causing the complex behaviour of the SOL flow. In addition, the effects of the high Mach flow and the flow reversal on the impurity transport are also discussed in this paper.     

柱形装药近地动爆冲击波周向传播规律研究

战斗部复杂的末弹道参数会影响近地爆炸冲击波的周向传播规律及对目标的毁伤程度,研究柱形装药近地爆炸冲击波传播规律对精确评估毁伤效能具有重要的工程意义。基于AUTODYN-3D软件对不同末弹道参数的柱形装药近地爆炸进行了数值模拟,通过对2个方向分别建模,获得了柱形装药近地爆炸下前、后、侧3个方向的冲击波压力数据;研究了战斗部的落速、落角、爆心高度和装药长径比4个参数对柱形装药近地爆炸冲击波传播的影响规律,分析了冲击波的演化过程、峰值压力和马赫杆高度。研究结果表明：静爆时,爆心高度是影响冲击波马赫杆高度的主要因素,落角与装药长径是影响马赫杆高度方向差异的主要因素;动爆时,能够增大周向马赫杆高度,前方最显著;另外,随着动爆速度的提升,前向冲击波峰值线性增大。正交优化的结果显示,4种变量中,动爆速度对柱形装药前方峰值压力极差最大,落角对后方峰值压力极差最大,爆心高度对马赫杆高度影响最大。通过研究柱形装药近地动爆冲击波周向传播规律,表明合理的调整装药参数和近地爆炸姿态对实现某方向的最大毁伤或减小超压伤害具有借鉴意义。

     

Shock wave calibration of under-expanded natural gas fuel jets

Natural gas, a fuel abundant in nature, cannot be used by itself in conventional diesel engines because of its low cetane number. However, it can be used as the primary fuel with ignition by a pilot diesel spray. This is called dual-fuelling. The gas may be introduced either into the inlet manifold or, preferably, directly into the cylinder where it is injected as a short duration, intermittent, sonic jet. For accurate delivery in the latter case, a constant flow-rate from the injector is required into the constantly varying pressure in the cylinder. Thus, a sonic (choked) jet is required which is generally highly under-expanded. Immediately at the nozzle exit, a shock structure develops which can provide essential information about the downstream flow. This shock structure, generally referred to as a “barrel” shock, provides a key to understanding the full injection process. It is examined both experimentally and numerically in this paper.

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一种级联马赫-曾德尔滤波器设计的新方法

级联马赫—曾德尔干涉仪滤波器可实现平顶化的滤波器频谱响应,但是利用传统的传输矩阵法。并不能方便地得到级联马赫—曾德尔干涉仪滤波器中各耦合器的耦合系数。将级联马赫—曾德尔干涉仪滤波器与数字信号处理中的有限脉冲响应滤波器进行了类比,并将数字滤波器的设计方法引入到级联马赫—曾德尔干涉仪滤波器的设计中,将滤波器的传输函数表示成为各耦合器耦合系数的显式函数,同时利用遗传算法,计算了对于给定的滤波器频谱响应,级联马赫—曾德尔干涉仪光滤波器中各耦合器的耦合系数。通过实例证明了利用数字滤波器的设计方法及遗传算法设计级联马赫—曾德尔干涉仪光滤波器,不仅可以得到理想的结果,而且可以提高光滤波器的设计效率。     

利用Mach-Zehnder干涉仪测量晶体的折射率与光学均匀性

本文介绍了利用Ｍａｃｈ－Ｚｅｈｎｄｅｒ干涉仪测量平板状透明介质折射率的方法，给出了测量公式，分析了各种测量误差以及可能达到的测量精度。通过对纯质ＬｉＮｂＯ３晶体片的折射率ｎｅ的测量，证实了该方法的可行性，并表明其特别适合于高折射率的各向异性晶体片折射率的测量。     

Spline approximations for nonlinear hereditary control systems

A spline-based approximation scheme is discussed for optimal control problems governed by nonlinear nonautonomous delay differential equations. The approximating framework reduces the original control problem to a sequence of optimization problems governed by ordinary differential equations. Convergence proofs, which appeal directly to dissipative-type estimates for the underlying nonlinear operator, are given and numerical findings are summarized.This work was supported in part by the Air Force Office of Scientific Research under Contract No. AFOSR-76-3092D, in part by the National Science Foundation under Grants Nos. NSF-MCS-79-05774-05 and NSF-MCS-82-00883, and in part by the US Army Research Office under Contract No. ARO-DAAG29-79-C-0161. The results reported here are a portion of the author's doctoral dissertation written under the supervision of Professor H. T. Banks, Brown University. The author is indebted to Professor Banks for his many valuable comments and suggestions during the course of this work.Part of this research was completed while the author was a visitor at the Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Hampton, Virginia.     

A weak shock wave reflection over wedges

When a weak shock wave reflects from wedges its reflection pattern does not appear to be a simple Mach reflection. This reflection pattern is known to be von Neumann Mach reflection in which a Mach stem can not necessarily be straight. In this paper the local change of the Mach stem curvature was experimentally and numerically investigated. A distinct triple point, at which the curvature becomes infinite as appears in a simple Mach reflection, was not observed but the Mach stem curvature became a maximum between foot of the Mach stem and a point, P₁, at which an incident shock met with a reflected shock. Maximum curvature point P₂ and P₁ do not coincide for small wedge angles and tend to merge over a certain wedge angle. Experimental results agreed with numerical results. The trajectory angle of P₂ was found to be expressed well by Whitham's shock-shock angle.This article was processed using Springer-Verlag T_EX Shock Waves macro package 1.0 and the AMS fonts, developed by the American Mathematical Society.     

爆轰波在突扩通道中传播的数值模拟研究

建立了描述甲烷 空气混合物爆轰波传播的单步化学反应爆轰模型 ,通过数值模拟研究了在二维突扩通道中爆轰波的强度变化和各种波行为。结果表明 :爆轰波在进入突扩通道初始阶段的衍射使爆轰波局部向爆燃转变 ;爆炸波在壁面发生马赫反射形成的高温高压区域将直接诱导自持爆轰波的重新形成。