Random walk model of impact phenomena

A model of the permanent distortion of an elastic material due to high velocity projectile impact is described using a random walk model, with unusual temporal statistics, of the transport of dislocations. The biased motion of dislocations in a stress field and also in a random environment is considered. A temperature dependence for certain scaling exponents is derived. The experimentally observed scaling of the total integrated momentum as well as the scaling of the penetration and strength of the shock wave with time are obtained with this model.     

Shock-induced structural phase transition, plasticity, and brittle cracks in aluminum nitride ceramic

Atomistic mechanisms of fracture accompanying structural phase transformation (SPT) in AlN ceramic under hypervelocity impact are investigated using a 209 x 10(6) atom molecular-dynamics simulation. The shock wave generated by the impact splits into an elastic wave and a slower SPT wave that transforms the wurtzite structure into the rocksalt phase. The interaction between the reflected elastic wave and the SPT wave front generates nanovoids and dislocations into the wurtzite phase. Nanovoids coalesce into mode I cracks while dislocations give rise to kink bands and mode II cracking.     

Mass transport in metals under intensive impulse reactions

An unusually high mobility of atoms under intensive impulse reactions is explained by the behavior of point defects at the shock wave front. It is shown that either a shock wave front or moving dislocations can capture the interstitials, or they can be thermally activated in the direction of the shock wave propagation.     

Emission of Dislocation Loops from Nanovoids in an FCC Crystal Subjected to Shear Deformation under Post-Cascade Shock Waves

The method of molecular dynamics is applied to the study of the effect of post-cascade shock waves generated in a solid irradiated by high-energy particles on the heterogeneous formation of dislocation loops in a simulated gold crystal containing a spherical nanovoid, which is subjected to shear deformation. The interaction between atoms is described with the use of a potential calculated by the embedded atom method. Shock waves are created by assigning a velocity exceeding the speed of sound in the simulated material to the boundary atoms of the computational cell. It is shown that two regions of increased mechanical stress are formed under shear deformation near the surface of a nanovoid, which are the sources of emerging partial dislocations. The main mechanism for the formation of dislocations is the displacement of a group of atoms towards the inner surface of the void, which does not contradict modern ideas about the heterogeneous formation of dislocations. It is shown that, when the values of shear stress are insufficient for the formation of dislocations, loop emission can be initiated by a post-cascade shock wave generated in the computational cell. As temperature increases, the number of nucleated dislocation loops increases, and, in addition, the formation of Lomer–Cottrell dislocations is observed, which is attributed to the additional tangential stresses created by the unloading wave. In this case, the formation of a stable dislocation loop in which the linear tension is balanced by the Peach–Koehler force due to external stress requires that the shock wave front affect the regions of increased stress near the void surface while propagating through the simulated crystal.     

冲击波处理45钢的微结构研究

 利用二级轻气炮驱动弹丸的高速碰撞，向45钢材料试件中传入冲击波。利用显微硬度计、扫描电镜与透镜电镜，观察冲击波处理后45钢的显微硬度和细微观组织结构。观察分析结果表明，冲击波引起了45钢中珠光体内片状渗碳体的孪晶，并在铁素体内造成高密度的位错与位错胞。在铁素体中，除α相外，还观察到另外一个相，这个相有待进一步辨别。     

0.35 μm激光驱动冲击波的实验测量

 采用波长为0.35 μm的高功率激光脉冲聚焦辐照楔形铝靶,用光学条纹相机观测靶背面冲击波加热发光的特性。并对冲击波压力的定标关系和楔形样品冲击波速度的计算方法进行了介绍,对实验结果进行了简要的分析。结果表明：实验测量的冲击压力与定标公式的结果较为接近。     

How black holes form in high energy collisions

Abstract We elucidate how black holes form in trans-Planckian collisions. In the rest frame of one of the incident particles, the gravitational field of the other, which is rapidly moving, looks like a gravitational shock wave. The shock wave focuses the target particle down to a much smaller impact parameter. In turn, the gravitational field of the target particle captures the projectile when the resultant impact parameter is smaller than its own Schwarzschild radius, forming a black hole. One can deduce this by referring to the original argument of escape velocities exceeding the speed of light, which Michell and Laplace used to discover the existence of black holes. Second Award in the 2007 Essay Competition of the Gravity Research Foundation.     

辐射温度与其驱动Al冲击波速度的定标关系研究

利用一维辐射流体力学程序,对不同脉冲波形的辐射温度与Al中冲击波速度关系进行模拟计算和分析.指出定标公式T_r=0.0126D^0.63主要适用于整形脉冲的辐射温度波形,而对高斯型和方波脉冲激光产生的辐射温度波形则不完全适用,通过计算给出修正的定标公式,且与自相似解得到的结果一致.另外对神光Ⅲ原型装置的整形脉冲辐射温度驱动Al样品冲击波轨迹进行了计算,得到第二个冲击波稳定传播所要求的Al样品的最小厚度.最后利用神光Ⅱ装置产生的辐射驱动冲击波,由修正的定标关系得到的辐射温度与软X射线能谱仪测量的辐射温度十分相符,从实验证实了修正定标关系的可靠性. 关键词： 辐射温度 冲击波速度 定标关系 整形脉冲     

微激光冲击DZ17G合金的表面完整性影响研究

为了在不影响柱状晶组织的前提下改善DZ17G定向凝固合金的力学性能,采用微激光冲击强化方法进行表面处理,通过X射线衍射、扫描电子显微镜、透射电子显微镜和显微硬度计,测试分析微激光冲击对DZ17G定向凝固合金表面完整性的影响。试验结果表明:在水下无吸收保护层微激光冲击处理后,合金表面发生了烧蚀、熔融,1次冲击后形成光滑熔融区,但随着冲击次数增加而形成了大量微小烧蚀孔洞和难熔颗粒;表层组织仍由和两相组成,柱状晶内形成了高密度位错和位错缠结,但未发生晶粒细化;硬度在深度上呈梯度分布,冲击1次后硬化层深度仅为100 m,表面硬度值达到503 HV,提高了22.7%,而且硬度值和硬化层深度都随着冲击次数增加而增大。     

Stability of shock waves for the Broadwell equations

For the Broadwell model of the nonlinear Boltzmann equation, there are shock profile solutions, i.e. smooth traveling waves that connect two equilibrium states. For weak shock waves, we prove asymptotic (in time) stability with respect to small perturbations of the initial data. Following the work of Liu [7] on shock wave stability for viscous conservation laws, the method consists of analyzing the solution as the sum of a shock wave, a diffusive wave, a linear hyperbolic wave and an error term. The diffusive and linear hyperbolic waves are approximate solutions of the fluid dynamic equations corresponding to the Broadwell model. The error term is estimated using a variation of the energy estimates of Kawashima and Matsumura [6] and the characteristic energy method of Liu [7].Research supported by the Office of Naval Research through grant N00014-81-0002 and by the National Science Foundation through grant NSF-MCS-83-01260Research supported by the National Science Foundation through grant DMS-84-01355     

晶界对纳米多晶铝中冲击波阵面结构影响的分子动力学研究

用分子动力学方法研究了纳米多晶铝在冲击加载下的冲击波阵面结构及塑性变形机理.模拟研究结果表明:在弹性先驱波之后,是晶界间滑移和变形主导了前期的塑性变形机理;然后是不全位错在界面上成核和向晶粒内传播,然后在晶粒内形成堆垛层错、孪晶和全位错的过程主导了后期的塑性变形机理.冲击波阵面扫过之后留下的结构特征是堆垛层错和孪晶留在晶粒内,大部分全位错则湮灭于对面晶界.这个由两阶段塑性变形过程导致的时序性塑性波阵面结构是过去未见报道过的. 关键词： 晶界 塑性变形 冲击波阵面 分子动力学     

Mechanism and Dynamics of Fracture of the Stressed Granite Surface by a Shock Wave

The dynamics of emission of positively charged ions from the granite surfaces containing different concentrations of quartz and feldspar under the action of a shock wave is investigated with a time resolution of 2 ns. The ions are assumed to be emitted at the instants of emergence of dislocations moving in intersecting glide planes at the sample surface. Defects in the form of extended “grooves” are formed in the region of emergence of dislocations. A compressive load suppresses the defect formation.     

Scaling Limits of Waves in Convex Scalar Conservation Laws Under Random Initial Perturbations

We study waves in convex scalar conservation laws under noisy initial perturbations. It is known that the building blocks of these waves are shock and rarefaction waves, both are invariant under hyperbolic scaling. Noisy perturbations can generate complicated wave patterns, such as diffusion process of shock locations. However we show that under the hyperbolic scaling, the solutions converge in the sense of distribution to the unperturbed waves. In particular, randomly perturbed shock waves move at the unperturbed velocity in the scaling limit. Analysis makes use of the Hopf formula of the related Hamilton-Jacobi equation and regularity estimates of noisy processes. AMS subject classifications: 35L60, 35B40, 60H15     

Shock waves and formation of carbon dioxide hydrate at an increased pressure in the gas-liquid medium

The processes of breaking, solution, and formation of hydrates behind a shock wave of moderate amplitude were studied experimentally in water with carbon dioxide bubbles under different initial static pressures. It is shown that an increase in the static pressure in a gas-liquid medium leads to reduction of critical relative amplitude of the shock wave, corresponding to starting development of Kelvin — Helmholtz instability and bubble splitting into small gas inclusions behind the shock wave front. It is shown that the rates of carbon dioxide solution and hydrate formation behind the shock wave front are close by the value; their dependences on medium and wave parameters are determined. Calculations by the model of gas hydration behind the shock wave are presented. The work was financially supported by the Russian Foundation for Basic Research (grants Nos. 06-01-00142 and 06-08-00657).     

Structural characterization of shock-affected sapphire

The presence of dislocations has been revealed by numerical processing of high–resolution transmission electron microscopy images from the regions affected by a shock wave propagation. The shock wave was triggered by a single 220 fs duration pulse of 30 nJ at an 800 nm wavelength inside sapphire at approximately 10 μm depth. The shock-amorphised sapphire has a distinct boundary with the crystalline phase, which is not wet etchable even at a dislocation density of ≃8×10¹² cm^-2. PACS 81.07.-b; 96.50.Fm; 62.50.+p; 47.40.Nm; 81.40.-z     

Two-wave structure of plastic relaxation waves in crystals under intense shock loading

The mechanism of formation of a two-wave structure of plastic relaxation waves at shock wave stresses σ > 1 GPa (plastic strain rates $\dot \varepsilon $ > 10⁶ s^?1) has been theoretically considered using the dislocation kinetic equations and relationships. It has been shown that, under intense shock loading, two plastic relaxation waves are generated in the crystal. Initially, there arises the first wave (in the traditional terminology, it is an elastic precursor) associated with the generation of geometrically necessary dislocations at the boundary between the compressed and uncompressed parts of the crystal. Then, there arises the second wave due to the dislocation multiplication on geometrically necessary dislocations of the first wave in the form of forest dislocations. The dependences of the stresses on the plastic strain rate σ ～ $\dot \varepsilon ^{1/4} $ in the first wave and σ ～ $\dot \varepsilon ^{2/5} $ in the second wave, as well as the dependences of the stresses on the thickness of the target D, i.e., σ ～ D ^?1/3 and σ ～ D ^?2/3, respectively, have been determined by solving the relaxation equations. The obtained relationships have been confirmed by the experimental data available in the literature.     

Stability of a Composite Wave of Two Viscous Shock Waves for the Full Compressible Navier-Stokes Equation

In this paper we investigate the asymptotic stability of a composite wave consisting of two viscous shock waves for the full compressible Navier-Stokes equation. By introducing a new linear diffusion wave special to this case, we successfully prove that if the strengths of the viscous shock waves are suitably small with same order and also the initial perturbations which are not necessarily of zero integral are suitably small, the unique global solution in time to the full compressible Navier-Stokes equation exists and asymptotically tends toward the corresponding composite wave whose shifts (in space) of two viscous shock waves are uniquely determined by the initial perturbations. We then apply the idea to study a half space problem for the full compressible Navier-Stokes equation and obtain a similar result. Research is supported in part by NSFC Grant No. 10471138, NSFC-NSAF Grant No. 10676037 and 973 project of China, Grant No. 2006CB805902, in part by Japan Society for the Promotion of Science, the Invitation Fellowship for Research in Japan (Short-Term). Research is supported in part by Grant-in-Aid for Scientific Research (B) 19340037, Japan.     

Orientation and Rate Dependence of Wave Propagation in Shocked Beta-SiC from Atomistic Simulations

The orientation dependence of planar wave propagation in beta-SiC is studied via the molecular dynamics （MD） method. Simulations are implemented under impact loadings in four main crystal directions, i.e., （lO0）, （llO）, 〈111〉, and 〈112}. The dispersion of stress states in different directions increases with rising impact velocity, which implies the anisotropic characteristic of shock wave propagation for beta-SiC materials. We also obtain the Hugoniot relations between the shock wave velocity and the impact velocity, and find that the shock velocity falls into a plateau above a threshold of impact velocity. The shock velocity of the plateaux is dependent on the shock directions, while 〈111} and 〈112/ can be regarded as equivalent directions as they almost reach the same plateau. A comparison between the atomic stress from MD and the stress from Rankine-Hugoniot jump conditions is also made, and it is found that they agree with each other very well.     

Interaction of strong converging shock wave with SF<Subscript>6</Subscript> gas bubble

Interaction of a strong converging shock wave with an SF₆ gas bubble is studied, focusing on the effects of shock intensity and shock shape on interface evolution. Experimentally, the converging shock wave is generated by shock dynamics theory and the gas bubble is created by soap film technique. The post-shock flow field is captured by a schlieren photography combined with a high-speed video camera. Besides, a three-dimensional program is adopted to provide more details of flow field. After the strong converging shock wave impact, a wide and pronged outward jet, which differs from that in planar shock or weak converging shock condition, is derived from the downstream interface pole. This specific phenomenon is considered to be closely associated with shock intensity and shock curvature. Disturbed by the gas bubble, the converging shocks approaching the convergence center have polygonal shapes, and the relationship between shock intensity and shock radius verifies the applicability of polygonal converging shock theory. Subsequently, the motion of upstream point is discussed, and a modified nonlinear theory considering rarefaction wave and high amplitude effects is proposed. In addition, the effects of shock shape on interface morphology and interface scales are elucidated. These results indicate that the shape as well as shock strength plays an important role in interface evolution.     

Interaction of strong converging shock wave with SF6gas bubble

Interaction of a strong converging shock wave with an SF6 gas bubble is studied, focusing on the effects of shock intensity and shock shape on interface evolution. Experimentally, the converging shock wave is generated by shock dynamics theory and the gas bubble is created by soap film technique. The post-shock flow field is captured by a schlieren photography combined with a high-speed video camera. Besides, a three-dimensional program is adopted to provide more details of flow field. After the strong converging shock wave impact, a wide and pronged outward jet, which differs from that in planar shock or weak converging shock condition, is derived from the downstream interface pole. This specific phenomenon is considered to be closely associated with shock intensity and shock curvature. Disturbed by the gas bubble, the converging shocks approaching the convergence center have polygonal shapes, and the relationship between shock intensity and shock radius verifies the applicability of polygonal converging shock theory. Subsequently, the motion of upstream point is discussed, and a modified nonlinear theory considering rarefaction wave and high amplitude effects is proposed. In addition, the effects of shock shape on interface morphology and interface scales are elucidated. These results indicate that the shape as well as shock strength plays an important role in interface evolution.