Influence of plastic deformation on fracture of an aluminum single crystal under shock-wave loading

The plastic deformation and the onset of fracture of single-crystal metals under shock-wave loading have been studied using aluminum as an example by the molecular dynamics method. The mechanisms of plastic deformation under compression in a shock wave and under tension in rarefaction waves have been investigated. The influence of the defect structure formed in the compression wave on the spall strength and the fracture mechanism has been analyzed. The dependence of the spall strength on the strain rate has been obtained.     

Improved CE/SE scheme with particle level set method for numerical simulation of spall fracture due to high-velocity impact

In the present paper, an Eulerian scheme combined with the hybrid particle level set method for numerical simulation of spall fracture due to high-velocity impact is proposed. An axisymmetric framework is established, based on an improved CE/SE scheme, to solve the high-velocity impact problems with large deformations, high strain rates and spall fractures. The hybrid particle level set method is adopted for tracking material interfaces and describing the formation and propagation of a crack. A novel representation of crack by level set is proposed. Numerical simulations are carried out and compared to the corresponding experimental results. The numerical results are in good agreement with the experimental data. The edge effects are reproduced and the decrease of scab thickness with increase in impact velocity is observed owing to the numerical analysis. It is proved that our computational technique is feasible and reliable for analyzing the spall fracture.     

Interrelation between the threshold characteristics of erosion and spall fracture

Threshold diagrams of erosion and spall fracture are constructed based on the concept of incubation time of the fracture. It is shown that in the case of a defectless material, the incubation time can be estimated from the spallation or erosion experimental data. The temperature dependence of the threshold velocities of microparticle impact is considered. The effect of increasing the dynamic yield stress upon an increase in the surface temperature of the target material is obtained for small-size microparticles. The relationship with an analogous effect in the spallation experiments is discussed.     

Metastable states,relaxation mechanisms,and fracture of liquids under severe loading conditions

The relaxation properties and fracture of glycerol, silicone oil, transformer oil, and water have been studied experimentally under shock wave loading. The power-law strain rate dependences of the stress amplitude and spall strength were found for the compression and rarefaction fronts, respectively. It was shown that temperature has a strong influence on the spall strength of glycerol near the phase transformation temperature. The power laws reflect a self-similar nature of the momentum transfer and fracture mechanisms of liquids that are conventionally observed in solids and governed by the mechanisms of defect-induced structural relaxation. The mechanisms of viscoelasticity are related to the metastable states that may give rise to a collective behavior of displacement field fluctuations (microshearing) in liquids and thus provide a viscoplastic response of liquids under high strain rate loading.     

Determination of nonlinear absorption and refraction by single Z-scan method

We report a simplified Z-scan technique based on a study on the symmetric features of a typical Z-scan curve. The contributions from the two-photon absorption (TPA) and the nonlinear refraction (NLR) are easily separated from a closed-aperture Z-scan curve using this method. And the determination of the two nonlinearities is simplified and unambiguous. We demonstrate this method on ZnSe, CdS, and ZnTe semiconductors with 120-fs laser pulses. And the influence from the uncertainty of the focal plane (Z=0) position is discussed. It is also found that the TPA coefficient can be obtained independently without knowing the exact location of the focal point. Received: 8 July 1999 / Published online: 3 November 1999     

Spall Strength of Resistance Spot Weld for QP Steel

The spall tests under the plane tensile pulses for resistance spot weld(RSW) of QP980 steel are performed by using a gun system.The velocity histories of free surfaces of the RSW are measured with the laser velocity interferometer system for any reflector.The recovered specimens are investigated with an Olympus GX71 metallographic microscope and a scanning electron microscope(SEM).The measured velocity histories are explained and used to evaluate the tension stresses in the RSW applying the characteristic theory and the assumption of Gathers.The spall strength(1977-2784 MPa) of the RSW for QP980 steel is determined based on the measured and simulated velocity histories.The spall mechanism of the RSW is brittle fracture in view of the SEM investigation of the recovered specimen.The micrographs of the as-received QP980 steel,the initial and recovered RSW of this steel for the spall test are compared to reveal the microstructure evolution during the welding and spall process.It is indicated that during the welding thermal cycle,the local martensitic phase transformation is dependent on the location within the fusion zone and the heat affected zone.It is presented that the transformation at high strain rate may be cancelled by other phenomenon while the evolution of weld defects is obvious during the spall process.It may be the stress triaxiality and strain rate effect of the RSW strength or the dynamic load-carrying capacity of the RSW structure that the spall strength of the RSW for QP980 steel is much higher than the uniaxial compression yield strength(1200 MPa) of the martensite phase in QP980 steel.Due to the weld defects in the center of the RSW,the spall strength of the RSW should be less than the conventional spall strength or the dynamic load-carrying capacity of condensed structure.     

Achievement of ultimate values of the bulk and shear strengths of iron irradiated by femtosecond laser pulses

Shock-wave phenomena generated by femtosecond laser pulses in submicron iron film samples have been studied by the interferometric method with the application of frequency-modulated diagnostics in the picosecond time range. The splitting of the shock wave into the elastic and plastic waves with a compression stress of up to 27.5 GPa behind the front of an elastic precursor has been detected. The corresponding maximum shear stress reaches 7.9 GPa, which is even somewhat higher than the calculated ideal shear strength. The measured spall strengths reach 20.3 GPa, which is also comparable to the calculated values of the ideal tensile strength.     

Time dependence of the spall strength under nanosecond loading

The problem of spall fracture is considered using an incubation time criterion. Some experimental fracture effects are discussed. The spall strength is found to depend substantially on the pulse parameters, in particular, the rate of decrease of the load. The strain-rate and time dependences of spall strength are shown to be considered as calculated characteristics rather than as functions of a material.     

Measurement of velocity distribution for longitudinal acoustic waves in welds by a laser optoacoustic technique

An optoacoustic technique for diagnostics of residual stress in metals is proposed. The theoretical part of the technique employs acoustoelastic relations establishing a linear relationship between the biaxial residual stress and the relative variation of the velocity of longitudinal ultrasonic waves. The experimental technique is based on laser excitation of nanosecond ultrasonic pulses at the surface of samples under investigation and their detection with a high time resolution. Distributions of the relative variation of longitudinal wave velocities due to the presence of residual stress in the samples are obtained.     

D6A、921和45钢的动态破坏与低压冲击特性

 通过对称碰撞研究了D6A、921和45钢的动态损伤与破坏行为。利用自由面速度的双波结构，结合材料在常压下的弹性纵波声速，确定了三种钢的低压Hugoniot关系，同时给出了三种钢的弹性Hugoniot屈服极限以及层裂强度。但是发现，屈服极限和层裂强度的材料分散性明显，在其影响下，层裂强度对加载幅度以及应变率的依赖性得不到体现，从而在其不确定度范围内，可将层裂强度看成一个常数。提出了一个唯象的损伤演化方程，在此基础上，对实验结果进行了部分数值模拟，数值模拟给出的层裂强度远大于近似解析模型的计算结果，两者之间的差异有待进一步研究。     

高纯铝层裂的自由面速度剖面特征分析

 采用任意反射面激光干涉测速（VISAR）系统,对高纯铝（纯度为99.999%）材料开展了层裂实验研究,获得了未完全层裂和完全层裂样品的自由面速度剖面。基于实验测量中观察到的层裂回跳（Pullback）信号的脉冲宽度、速度幅值差异以及回跳信号上升过程中的两次速度斜率变化特征,详细讨论了高纯铝材料从出现损伤到完全断裂的过程中波剖面演化的行为特征。结合“软回收”样品的细观分析,指出这些自由面速度变化特征可能与材料中应力波的能量释放速率以及材料中晶粒的断裂行为密切相关。研究结果可以为延性金属损伤断裂的演化过程提供有意义的认识。     

Effect of a fullerene C60 addition on the strength properties of nanocrystalline copper and aluminum under shock-wave loading

The Hugoniot elastic limit and the spall strength of aluminum and copper samples pressed from a mixture of a metallic powder and 2–5 wt % C₆₀ fullerene powder are measured under a shock loading pressure up to 6 GPa and a strain rate of 10⁵ s^?1 by recording and analyzing full wave profiles using a VISAR laser interferometer. It is shown that a 5% C₆₀ fullerene addition to an initial aluminum sample leads to an increase in its Hugoniot elastic limit by an order of magnitude. Mixture copper samples with 2% fullerene also exhibit a multiple increase in the elastic limit as compared to commercial-grade copper. The elastic limits calculated from the wave profiles are 0.82–1.56 GPa for aluminum samples and 1.35–3.46 GPa for copper samples depending on the sample porosity. The spall strength of both aluminum and copper samples with fullerene additions decreases approximately threefold because of the effect of high-hardness fullerene particles, which serve as tensile stress concentrators in a material under dynamic fracture.     

AF1410钢的层裂断裂特性研究

 利用一级轻气炮作为加载手段,对AF1410钢的层裂特性进行了研究,获得了AF1410钢的Hugoniot关系、塑性应变率、层裂强度以及层裂片厚度等动态力学参数。对回收的AF1410钢样品进行了断口分析和金相分析,从宏、微观角度分析了AF1410钢在不同应变率下的断裂特性。     

直线型脉冲变压器模块的响应特性

 介绍了短脉冲应用中磁芯的选取,设计了一台两路并联馈电的单模块直线型脉冲变压器驱动源（LTD）装置。在低压情况下测试了装置对不同脉宽信号的响应特性,在此基础上利用一级脉冲形成网络提供的输出阻抗约5 Ω,脉宽约3 μs的近似方波信号对装置进行了高压实验,得到了匹配负载情况下LTD次级上的输出电压波形,和脉冲形成网络的输出波形得到了很好的吻合。建立了相应的LTD电路模型,利用Laplace变换推导了模型对有限上升前沿脉冲的响应,证明了励磁电感偏小是造成实验中LTD装置输出电压幅值明显低于充电电压的主要原因,提出了改进方法并进行了实验验证。     

Nonlinear surface acoustic waves: realization of solitary pulses and fracture

A laser-based technique for the contact-free generation and detection of strongly nonlinear surface acoustic wave (SAW) pulses with amplitudes limited by the materials strength has been developed. The effects of nonlinear propagation of short elastic surface pulses with finite strength in isotropic solids, such as fused quartz, anisotropic solids, such as silicon, and dispersive media were investigated. Solitary surface wave propagation was observed in layered structures for normal and anomalous dispersion. In addition, a SAW-based method for evaluating the critical fracture stress of anisotropic brittle solids, such as single crystal silicon, is introduced.     

Diagnostics of residual stress in metals with wideband surface acoustic pulses

A method for diagnostics of biaxial residual stress in metals with the use of short pulses of surface acoustic waves (SAWs) is discussed. Laser thermoelastic excitation of SAW pulses with a length of about 30 ns and piezoelectric detection by a specially designed wedgelike receiver with a high time resolution are used. Relative variations in the phase and group SAW velocities due to the presence of a weld are measured experimentally in two mutually perpendicular directions. The frequency range of measurements was 5–25 MHz, which corresponds to a depth of SAW penetration of about 120–600 μm. Measurements were conducted on samples made of 12X18H10T stainless steel with planar dimensions of 105 × 76 mm and thickness h = 8 mm, which were welded along the axis by an electron beam. The weld width was 5–7 mm. After the measurements, the samples were investigated by the fracture method based on the technique of a complete relief. The results of measurements are compared with the data obtained by fracture tests. The potential of the studied method is analyzed, and the measurement errors are estimated.     

Explosion-type chain fracture reaction during the formation of a complete spall damage zone

Some aspects of the available experimental results on the spall fracture of steel and duralumin sample caused by the explosion of a sheet HE charge are discussed. In particular, the location of the damage zone is considered based on the condition that the density of deformation energy is larger than the density of energy of formation new surfaces upon continuity break. The localization of the complete damage zone is determined by the threshold values the induction time and tensile stress. No dynamic branch of longevity associated with spall fractures is observed at times shorter than 10⁻⁷ s.     

Microcavity dynamics during laser-induced spallation of liquids and gels

Photomechanical fracture induced by thermoelastic stress waves is an important mechanism of tissue ablation by short laser pulses. In this study, we present experimental investigations of the fracture process in ductile, water-containing materials and compare the results with a theoretical calculation. The model describes cavitation caused by the negative part of a bipolar thermoelastic stress wave. Pulses from aQ-switched, frequency-doubled Nd:YAG laser with 8 ns duration were used to irradiate dyed water and gelatine with variable absorption coefficient. Cavitation and ablation were observed with various time-resolved methods such as stress detection, video imaging and an optical pump-probe technique for the detection of individual cavities. Quantitative agreement between experiment and simulation could be achieved in the case of cavity lifetimes, especially at low laser fluence where the bubble density is low and no coalescence takes place. An increase of the threshold energy density for ablation with rising absorption coefficient and a distortion of the thermoelastic wave in the presence of cavitation were experimentally observed and could be qualitatively explained by use of the simulation. The results obtained in this study should facilitate the choice of the optimal laser parameters for photomechanical tissue ablation.     

钽的层裂实验数值模拟

 采用连续介质力学基唯象模型模拟分析了钽的平板撞击层裂行为。该模型包括了材料的非线性弹性（状态方程）、率相关塑性和孔洞的形核及生长等多种效应,并且采用一种对角隐式Runge-Kutta方法来求解本构率方程组,提高了热粘塑性本构关系计算的稳定性及精度。将数值模拟结果和相关实验数据进行了对比分析,结果表明,对于样品中的拉应力峰值明显高于材料层裂强度的实验（中、高速平板撞击实验）,理论模型具有较好的预估能力,但对于临界层裂问题（低速平板撞击实验）,该模型对材料损伤与失效过程的描述可能不够准确,需要进一步改进。