Dynamic stress concentration in a ribbed plate using the acoustical wave propagator technique

This paper presents an explicit acoustical wave propagator technique to investigate the flexural wave scattering and dynamic stress concentration in a ribbed plate based on Mindlin plate theory. A scheme combining Chebyshev polynomial expansion and fast Fourier transformation is introduced to implement the operation of the acoustical wave propagator. The exact analytical solutions are also presented to demonstrate the validity of the present technique. The wave propagation patterns are used to investigate the effect of rib on the flexural wave scattering and distribution of dynamic stress concentration. Dynamic stress concentration factors around the discontinuities are examined in detail.     

Dynamic photoelastic studies of wave propagation in granular media

The optical method of dynamic photoelasticity is used to visualize the load transfer profiles due to explosive loading in granular aggregates. The granular media are simulated by using arrays of disks fabricated from a brittle polyester material—Homalite 100. Attention is focused on the effect of microstructure or the geometrical packing of the grains on the wave propagation phenomena. The experimental data are analyzed to obtain the stress wave attenuation, wave velocities and contact stresses as a function of time along various directions in the assembly of grains. Dynamic load transfer functions are developed to predict dynamic contact loads in any systematic or random assembly of grains for any given loading. The predicted results are compared with the experimental data. The effect of local inhomogeneities on the wave propagation phenomena is also shown.     

超短激光诱导金属薄膜后向层裂的分子动力学模拟(英文)

采用结合双温模型的分子动力学方法详尽描述了应力约束区域内部金属薄膜后向层裂的动力学过程。与辐照表面在激光加热作用下机械稳定性受到强烈影响而发生的前向喷射不同,后向层裂是冷材料的断裂。分析了层裂机制,得出靶材是在卸载波及被反射的压力波的共同作用下发生层裂;探讨了激光诱导压力波的传播规律,预测了不同靶厚下的层裂厚度及其对层裂开始时间的影响。     

超短激光诱导金属薄膜后向层裂的分子动力学模拟

 采用结合双温模型的分子动力学方法详尽描述了应力约束区域内部金属薄膜后向层裂的动力学过程。与辐照表面在激光加热作用下机械稳定性受到强烈影响而发生的前向喷射不同，后向层裂是冷材料的断裂。分析了层裂机制，得出靶材是在卸载波及被反射的压力波的共同作用下发生层裂;探讨了激光诱导压力波的传播规律，预测了不同靶厚下的层裂厚度及其对层裂开始时间的影响。     

顶爆和拱腰侧爆同时作用下锚固洞室的动态响应

基于相似模型试验,采用显式非线性动力分析程序LS-DYNA3D研究了地下锚固洞室在拱顶和拱腰侧两处集中装药爆源同时爆炸作用下应力波传播规律、裂纹形成机理以及洞壁围岩位移分布特征。通过对比分析顶爆试验和计算模型的压应力时程曲线,发现模拟与试验结果吻合,且符合应力波的传播规律,表明数值模拟结果可靠。爆源爆炸后,应力波以圆形向周围岩体传播,两应力波相遇处压应力强度明显大于周围岩体;当应力波传到自由面时,会反射形成拉伸波,在地表下方和洞室上方发生“层裂”现象,在拱顶和拱腰侧爆源中间沿洞室径向有裂纹延伸,由于拉伸波的叠加,在爆源下方出现“八”字形的锥形裂纹面。锚杆能够起到加固岩体的作用,锚固洞室比毛洞裂纹分布少,毛洞迎爆侧裂纹主要为横向裂纹,而锚固洞室则为径向劈裂和横向裂纹。两爆源中点洞室径向处的洞壁围岩位移峰值最大,极易产生破坏。     

基于光纤光栅的冲击激励声发射响应机理与定位方法研究

在对冲击激励声发射应力波在铝合金板上的传播机理进行分析的基础上,利用ABAQUS软件构建了钢球冲击铝合金板几何模型,仿真分析了冲击应力波传播过程.理论分析了冲击应力波与FBG传感器的作用机理,基于边缘滤波原理构建了声发射传感系统,采集冲击激励声发射应力波,建立了声发射区域定位模型,提出了基于扩散映射与支持向量机(SVM)的声发射区域定位方法并进行了实验验证.在300 mm×300 mm×2 mm的铝合金板上对36个测试区域进行了多次声发射区域定位实验,实验结果表明,扩散映射结合SVM的定位结果较优,区域定位精度为30 mm×30 mm,定位正确率为97.5%,耗时0.781 s.研究结果为声发射区域定位检测提供了一种有效方法.     

Tunable On‐Chip Sources with Aperiodic Metasurface

Surface plasmons show tremendous capability in integrated communication, quantum computing and sensing. Excitations and manipulations of surface plasmons are essential in developing integrated photonic devices. Here, a systematic study of tunable emission of surface plasmons with an eightfold quasicrystal metasurface, which acts as an on‐chip source, is presented. It is shown that the quasicrystal structure can switch on or off the surface plasmons propagation channels in the desired direction. Meanwhile, such a quasicrystal structure can be polarization‐dependent or polarization‐independent based on different constituent slit pairs. The proposed quasicrystal design provides more freedom for steering surface plasmons in the launching process. Thus, it may significantly simplify the design and fabrication of integrated plasmonic devices.     

AXISYMMETRIC ELASTICITY PROBLEM OF CUBIC QUASICRYSTAL

A method for analyzing the elasticity problem of cubic quasicrystal is developed. The axisymmetric elasticity problem of cubic quasicrystal is reduced to a single higher-order partial differential equation by introducing a displacement function. As an example, the solutions of elastic field of cubic quasicrystal with a penny-shaped crack are obtained, and the stress intensity factor and strain energy release rate are determined.     

Effects of initial compression stress on wave propagation in carbon nanotubes

An analytical method to investigate wave propagation in single- and double- walled carbon nanotubes under initial compression stress is presented. The nanotube structures are treated within the multilayer thin shell approximation with the elastic properties taken to be those of the graphene sheet. The governing equations are derived based on Flügge equations of motion. Frequency equations of wave propagation in single and double wall carbon nanotubes are described through the effects of initial compression stress and van der Waals force. To show the effects of Initial compression stress on the wave propagation in nanotubes, the symmetrical mode can be analyzed based on the present elastic continuum model. It is shown that the wave speed are sensitive to the compression stress especially for the lower frequencies.     

The multiple scattering of non-homogeneous shear waves from two cavities in functionally graded materials

The propagation and multiple scattering of non-homogeneous shear waves resulting from two cavities embedded in exponential functional graded materials (FGMs) were investigated, and the dynamic stress around the two cavities derived. The non-homogeneous scattering fields of shear waves around the cavities are analytically expressed by using the wave function expansion method. The interaction of non-homogeneous scattering fields between the two cavities is described accurately. The dynamic stresses around the cavities under different geometrical and physical parameters are graphically illustrated and analyzed. Analysis shows that the non-homogeneous properties of FGMs exhibit a significant effect on the dynamic stress around the cavities. The effect of the non-homogeneous properties of FGMs on the dynamic stress is also dependent on the gradation direction, the distance between the two cavities, the relative position of the two cavities and the incident frequency of waves. A comparison with other existing studies in the literature is also presented.     

Love-type wave propagation in a pre-stressed viscoelastic medium influenced by smooth moving punch

In the present paper, a mathematical model studying the effect of smooth moving semi-infinite punch on the propagation of Love-type wave in an initially stressed viscoelastic strip is developed. The dynamic stress concentration due to the punch for the force of a constant intensity has been obtained in the closed form. Method based on Weiner–hopf technique which is indicated by Matczynski has been employed. The study manifests the significant effect of various affecting parameters viz. speed of moving punch associated with Love-type wave speed, horizontal compressive/tensile initial stress, vertical compressive/tensile initial stress, frequency parameter, and viscoelastic parameter on dynamic stress concentration due to semi-infinite punch. Moreover, some important peculiarities have been traced out and depicted by means of graphs.     

Ordered diffusion mass transfer under shock conditions

The features of diffusion mass transfer phenomena in metals under shock conditions are considered. The diffusion fluxes arising at severe plastic deformation of material are determined. It is shown that under certain conditions the impurity diffusion from the outer surface into the metal bulk may evolve as a wave process, at which the mass transfer occurs in the form of ordered atomic motion through the lattice. The diffusion wave propagation velocity of is determined.     

Elasticity and dislocations in quasicrystals with 18-fold symmetry

Elasticity problems of quasicrystals with 18-fold rotational symmetry are studied. Constitutive equations and governing equations are obtained. For static elasticity problems, the displacement vectors in two phason fields are expressed in terms of two pairs of associated harmonic functions or two analytic functions. For dynamic problems, the displacement vectors can be represented in terms of an auxiliary function satisfying a fourth-order partial differential equation. A general solution of phasons is given by the solution of two diffusion equations. Phason elastic fields induced by a dislocation in a quasicrystal with 18-fold symmetry are determined and exhibit an inverse singularity.     

热质的运动与传递-热波

根据爱因斯坦狭义相对论,热量具有其对应的相对论质量,并且引入了描述热质(热量)运动的连续方程、动量方程.本文根据热质(热量)运动控制方程组,导出了热质(热量)的波动方程,证明了热量具有波动的传递方式,当热质动能与热质的耗散在同一量级时,得到了有限的热波传播速度.分析了热波产生的物理机制.基于热质理论的热波模型与CV模型进行了比较,指出了CV模型在物理上的缺陷.最后对一维热波的传播过程进行了数值模拟,给出了超快速导热过程的物理图像.     

Interaction between infinitely many dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal

By means of analytic function theory, the problems of interaction between infinitely many parallel dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal are studied. The analytic solutions of stress fields of the interaction between infinitely many parallel dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal are obtained. They indicate that the stress concentration occurs at the dislocation source and the tip of the crack, and the value of the stress increases with the number of the dislocations increasing. These results are the development of interaction among the finitely many defects of quasicrystals, which possesses an important reference value for studying the interaction problems of infinitely many defects in fracture mechanics of quasicrystal.     

台阶板中兰姆波A0模式传播特性的光弹研究

为了研究变壁厚结构中兰姆波的传播特性，以K9玻璃制成的台阶板为波导，运用动态光弹法实现了兰姆波在阶梯板中传播过程的可视化。使用MATLAB对兰姆波的理论应力分布进行了仿真，将仿真结果与光弹图像相对比以进行模式识别。此外，根据兰姆波的动态光弹图像计算了特定模式的相速度，并与相速度频散曲线相对比，以支持模式识别的结果。对4mm-3mm和4mm-2mm厚度差台阶板进行了对比分析。研究发现在激励目标模式的兰姆波时，可能会出现非目标模式，并且兰姆波的模态转换与频散程度与台阶处的厚度差有关。本文的结果可对具有相同性质类似结构材料的无损检测提供参考。     

Plastic wave front propagation in cylindrical bars

Making use of the dynamic, elastic-plastic finite element program, the elastic-plastic wave propagation in a cylindrical bar with a circular cross section is analysed for linear strain hardeningt Special attention is given to the influence of strain rate on. the axial stress distribution for variou. impact loading conditions. Comparison is made between numerical two-dimensional and analytical one-dimensional results for structural low alloy steel (C-Mo-Cr) having strain rate dependens dynamic mechanical properties. The implications of practical importance for experimental dynamic plasticity studies by means of Hopkinson Split Pressure Bar (HSPB) technique are discussed in detail.     

Soda lime玻璃材料中失效波形成和传播研究

 为了研究冲击载荷作用下Soda lime玻璃材料中失效波的形成和传播,通过轻气炮加载平板撞击实验,采用双螺旋锰铜压阻传感器,在一发实验中同时测量4种不同厚度试件背面与有机玻璃背板间界面处的纵向应力时程曲线,根据测量结果得到试件中失效波的传播轨迹。通过改变碰撞速度,对不同加载条件下的失效波形成和传播规律进行了研究,结果表明,Soda lime玻璃材料在冲击作用下产生失效波所需的延迟时间随冲击载荷的增加而减小,失效波传播速度随冲击载荷的增加而增加。最后采用弹性微裂纹统计模型描述冲击载荷作用下Soda lime玻璃的破坏机制,并将模型嵌入LS-DYNA有限元程序中,模拟试件在不同加载条件下的平板碰撞,所得横向应力和自由面粒子速度曲线均可用于表征失效波破坏现象。根据数值模拟结果分析失效波的传播轨迹,与实验测量结果符合较好。     

Electron spectrum and wave functions of icosahedral quasicrystals

Electron spectra and wave functions of icosahedral quasicrystals have been investigated in the tight-binding approximation using the two-fragment structural model (the Amman-MacKay network) with “central” decoration. A quasicrystal has been considered as a limiting structure in a set of optimal cubic approximants with increasing lattice constants. The method of level statistics indicates that the energy spectrum of an icosahedral quasicrystal contains a singular (nonsmooth) component. The density of electron states has been calculated for the first four optimal cubic approximants of the icosahedral quasicrystal, and the respective Lebesgue measures of energy spectra of these approximants have been obtained. Unlike the case of a one-dimensional quasiperiodic structure, the energy spectrum of an icosahedral quasicrystal does not contain a hierarchical gap structure typical of the Cantor set of measure zero in a one-dimensional quasicrystal. Localization of wave functions in an icosahedral quasicrystal has been studied, and their “critical” behavior has been detected. The effect of disorder due to substitutional impurities on electron properties of icosahedral quasicrystals has been investigated. This disorder makes the electron spectrum “smoother” and leads to a tendency to localization of wave functions. Zh. éksp. Teor. Fiz. 113, 1009–1025 (March 1998)     

Visualization and numerical analysis of stress waves in blasting process

Visualization studies were performed both experimentally and theoretically to observe stress wave propagation in a material and its interaction with the free surface of the material in a blasting process. PMMA (polymethyl-methacrylate) plates were used as a transparent material. The stress wave was generated by initiation of an electric detonator. The stress waves in the PMMA specimen with the right-angled corner were observed by means of the shadowgraph system using a Q switched ruby laser as a light source. In addition to the experiment, a numerical analysis using smoothed particle hydrodynamics (SPH) was also carried out to clarify the dynamic behavior of stress waves in the blasting process. Transmittance and reflection of the stress wave at the free surface could be visualized by both the experiment and the numerical analysis.