A split Hopkinson pressure bar technique to determine compressive stress-strain data for rock materials

This paper presents a split Hopkinson pressure bar technique to obtain compressive stress-strain data for rock materials. This technique modifies the conventional split Hopkinson bar apparatus by placing a thin copper disk on the impact surface of the incident bar. When the striker bar impacts the copper disk, a nondispersive ramp pulse propagates in the incident bar and produces a nearly constant strain rate in a rock sample. Data from experiments with limestone show that the samples are in dynamic stress equilibrium and have constant strain rates over most of the test durations. In addition, the ramp pulse durations can be controlled such that samples are unloaded just prior to failure. Thus, intact samples that experience strains beyond the elastic region and postpeak stresses can be retrieved for microstructural evaluations. The paper also presents analytical models that predict the time durations for sample equilibrium and constant strain rate. Model predictions are in good agreement with measurements.     

Dynamic compressive responses of intact and damaged ceramics from a single split Hopkinson pressure bar experiment

A novel dynamic compressive experimental technique has been developed based on a split Hopkinson pressure bar. This new method dynamically loads the ceramic specimen by two consecutive stress pulses. The first pulse determines the dynamic response of the intact ceramic materiaal and then crushes the specimen, and the second pulse determines the dynamic compressive constitutive behavior of the ceramic rubble. Precise pulse shaping ensures that the specimen deforms at nearly constant strain rates under dynamic stress equilibrium during the loading by both stress pulses. Pulse shaping also controls the amplitudes of loading pulses, the values of strain rates, the maximum strains in the rubble specimens, and the proper separation time between the two loading pulses. The feasibility of the new technique is demonstrated by the experimental results obtained on an AD995 alumina.     

Dynamic stress equilibration in split Hopkinson pressure bar tests on soft materials

The condition of dynamic stress equilibrium is not satisfied automatically when a split Hopkinson pressure bar (SHPB) is employed to determine the dynamic properties of soft materials. In order to develop guidelines for the proper design of SHPB experiments under valid testing conditions, an integrated experimental/analytical study has been conducted to examine the process of dynamic stress equilibrium in a soft rubber specimen. Dynamic compressive experiments on a RTV 630 and an ethylene-propylene-diene monomer rubber with a SHPB modified for soft material testing were conducted to determine the effects of specimen thickness and loading rate on the stress equilibrating process. An analytical model was employed to analyze the equilibrating processes observed in experiments. It is found that the incident loading rate dominates the initial non-equilibrium stress state, and the specimen thickness mainly affects the dynamic stress equilibrium after the initial stage.     

Pulse shaping techniques for testing brittle materials with a split hopkinson pressure bar

We present pulse shaping techniques to obtain compressive stress-strain data for brittle materials with the split Hopkinson pressure bar apparatus. The conventional split Hopkinson pressure bar apparatus is modified by shaping the incident pulse such that the samples are in dynamic stress equilibrium and have nearly constant strain rate over most of the test duration. A thin disk of annealed or hard C11000 copper is placed on the impact surface of the incident bar in order to shape the incident pulse. After impact by the striker bar, the copper disk deforms plastically and spreads the pulse in the incident bar. We present an analytical model and data that show a wide variety of incident strain pulses can be produced by varying the geometry of the copper disks and the length and striking velocity of the striker bar. Model predictions are in good agreement with measurements. In addition, we present data for a machineable glass ceramic material, Macor, that shows pulse shaping is required to obtain dynamic stress equilibrium and a nearly constant strain rate over most of the test duration.     

Pulse shaping techniques for testing elastic-plastic materials with a split Hopkinson pressure bar

We present pulse shaping techniques to obtain compressive stress-strain data for elastic-plastic materials with a split Hopkinson pressure bar. The conventional split Hopkinson pressure bar apparatus is modified by placing a combination of copper and steel pulse shapers on the impact surface of the incident bar. After impact by the striker bar, the copper-steel pulse shaper deforms plastically and spreads the pulse in the incident bar so that the sample is nearly in dynamic stress equilibrium and has a nearly constant strain rate in the plastic response region. We present analytical models and data that show a broad range of incident strain pulses can be obtained by varying the pulse shaper geometry and striking velocity. For an application, we present compressive stress-strain data for 4340 R_c 43 steel.     

Upper limit of constant strain rates in a split Hopkinson pressure bar experiment with elastic specimens

The upper limit of the achievable constant strain rates in linearly elastic specimens loaded by a split Hopkinson pressure bar is estimated based on the specimen properties and a linear ramp loading. The criterion for a plateau of constant strain rate is derived and discussed. Dynamic experimental results on an S-2 glass/SC15 composite and polymethyl-methacrylate subjected to various ramp loadings verify the modeling results.     

Hopkinson压杆技术的推广应用

简要介绍了Hopkinson杆的几种工程应用,包括:(1)用同步组装系统进行高温、高应变率耦合作用下材料动态力学性能的测试;(2)在Hopkinson压杆技术中实现单脉冲加载及其在动态损伤力学中的应用;(3)用Hopkinson压杆加载三点弯曲试样测定材料的动态起裂韧性;(4)用Hopkinson压杆技术对加速度传感器在3 000~200 000g范围内进行g值校准。还介绍了这些应用的基本原理、测试方法及所取得的成果。     

A polymeric split Hopkinson pressure bar instrumented with velocity gages

Polymeric split Hopkinson pressure bars are often used to test low-impedance materials at elevated strain rates. However, they tend to be viscoelastic, and a viscoelastic wave propagation model is required to analyze the data. This considerably complicates the analysis over the more common linear elastic split Hopkinson bar. In this research, a polymeric split Hopkinson bar is instrumented with electromagnetic velocity gages. The gages are placed at the interfaces between the bars and the specimen. By using this arrangement, viscoelastic effects in the bars are negligible and the need for a viscoelastic correction is eliminated. The method is applied by testing low-density foams.     

确定材料在高温高应变率下动态性能的Hopkinson杆系统

描述了一种利用Hopkinson杆装置确定在高温（温度可高达1 173 K）、高应变率下材料动态性能的试验方法。在试样加温过程中,试样不与入射杆及透射杆接触。当试样加热到预定温度时,气压驱动同步组装系统,推动透射杆及试样,使得应力波到达入射杆与试样接触面时,入射杆、试样及透射杆紧密接触。利用以上系统,完成了连铸单晶铜及上引法连铸多晶铜从室温到1 085 K范围内的应力应变曲线。测试结果表明,不论是上引法连铸多晶铜还是连铸单晶铜,流动应力随温度的升高而下降,在温度低于585 K时,材料的应变硬化率明显大于在温度高于585 K时的应变硬化率。     

一种基于电磁霍普金森杆的材料动态包辛格效应测试装置及方法

金属材料在复杂载荷条件下的动态力学行为研究一直备受关注,但受限于实验设备,金属材料的动态包辛格效应响应一直都难以获得。为了探究金属材料的包辛格效应与应变率效应之间的关系,本文中提出一种基于电磁霍普金森杆(electromagnetic split Hopkinson bar,ESHB) 的非同步加载实验技术,为测试金属材料在高应变率加载下的包辛格效应提供了一种有效的实验方法。本文中,首先介绍了非同步加载装置的主要特点,即可以用两列由脉冲发生器产生的应力波对受载试样进行连续的一次动态拉-压循环加载,且加载过程保证了应力波的一致性。分析了应力波对试样加载过程中的波传播历程,确保了加载过程的连续性。随后介绍了动态加载过程,数据处理方法和波形分离手段,并对动态加载过程进行应力平衡性分析,论证了实验装置的可靠性。最后采用该方法测试了5%预应变下6061铝合金动态压缩-动态拉伸的包辛格效应,并与准静态下的实验结果进行对比。实验结果表明,该材料单轴压缩没有明显的应变率效应,但其包辛格效应具有应变率依赖性,高应变率下材料的包辛格应力影响因子由0.07增大至0.17,具有显著的提升,这对传统意义上铝合金材料应变率不敏感的结论提出了挑战。

     

Limiting conditions for compression testing of flat specimens in the split hopkinson pressure bar

The split Hopkinson pressure bar (SHPB) technique is analyzed during the initial stages of loading by means of axisymmetric finite element simulations of dynamic compression tests. Limiting strains as functions of the test parameters such as the specimen diameterd and heighth were found to ensure a one-dimensional stress state and axial stress homogeneity in specimens of elastic-perfectly plastic material. The one-dimensional stress state is necessary and sufficient for accurate test results for flat specimens (h/d≤0.5) and nonflat specimens, respectively, with diameters up to half of the bar diameter. Only very small values of the Coulomb friction constraint (μ≈0.01) seem to be acceptable. The significance of the determined limiting conditions to the more practical case of a rate dependent material is investigated using an elastic-viscoplastic material for the specimen. The stress and strain rate reconstructed from the calculated bar signals (according to the SHPB analysis) are compared with stresses and strain rates averaged over the cross section of the specimen. Well-known inertia corrections improve the results of the SHPB procedure, but errors remain for small strains and highly time dependent strain rates.     

基于激光干涉测试技术的分离式Hopkinson压杆实验测试系统

分离式Hopkinson压杆（SHPB）实验的传统测试技术是基于应变片的电测技术,测试结果的可靠性强烈依赖于应变片与杆之间粘贴质量,受到人为因素的影响较大。本文中采用基于多普勒频移原理的双探头全光纤激光干涉测速技术,以粒子速度为监测目标,借助应力波传播理论,换算成试件的应变和应力,从而建立了SHPB实验的非接触光学测试系统。针对韧性和脆性两类材料,分别提出了激光正入射和激光斜入射两种测试技术。再以铝合金和PZT陶瓷为例,通过与传统的应变片测试结果以及DIC测量结果的对比分析,验证了两种测试技术的有效性。与传统的应变片测试技术相比,新的激光干涉测试技术具有免标定、抗干扰、可靠性高等许多优点,有助于实现SHPB实验测试系统标准化。

     

SHPB加载下PTFE/Al冲击反应的临界条件

采用分离式霍普金森压杆（SHPB）加载方法和高速摄影技术,对混合压制烧结法制备的铝颗粒增强聚四氟乙烯复合材料（polytetrafluoroethylene/Al,PTFE/Al）的冲击反应临界条件进行研究。实验中采用钢杆、铝杆和不同尺寸的试样,进行不同加载条件下的测试,实验结果表明：PTFE/Al复合材料的冲击反应过程主要可分为变形、碎裂、反应阶段,其冲击反应临界同时关联于应力和应变率。并基于实验获得了PTFE/Al复合材料的冲击反应临界渐进线应力和应变率,通过对实验数据的归纳和分析,初步提出实验条件下关联应力和应变率的PTFE/Al临界反应关系式,获得冲击反应阈值预测曲线。

     

波形整形技术在Hopkinson杆实验中的应用

由于波形整形技术可减小Hopkinson杆实验在撞击过程中产生的高频振荡以及实现试样在受载过程中的恒应变率加载,因此,波形整形技术越来越受到关注。本文中详细介绍了波形整形技术在Hopkinson杆的动态压缩、拉伸、巴西圆盘、弯曲断裂等实验中的研究进展,并给出了该技术在应用中需注意的问题。

     

基于Hopkinson杆的材料高应变率拉伸实验技术

分离式霍普金森杆(Split Hopkinson Bar)是测试材料在高应变率加载下力学行为的一种有效的实验手段.本文基于霍普金森杆测试原理,设计和研制了气枪式变截面间接杆杆型高应变率拉伸实验装置.该装置具有完备的、高精度的水平和轴向基准,采用等高的固定支撑,保证了杆-杆型实验系统具有良好的共轴度;入射杆与撞击套筒之间设有导向管,避免了撞击套筒直接与入射杆接触而产生的相互干扰;在导向管内设有支撑圈,以减小入射杆与导向管直接接触而产生的摩擦,并消除入射杆的径向跳动;采用前置金属短杆来获得光滑、平稳且幅值和宽度可调的拉伸入射加载脉冲.对LY12CZ铝合金在两种应变率下初步的验证性实验表明,该高应变率拉伸实验装置的设计是合理的,实验获得的应力—应变结果是可靠、有效的.     

Application of split Hopkinson tension bar technique to the study of dynamic fracture properties of materials

A novel approach is proposed in determining dynamic fracture toughness(DFT) of high strength steel,using the split Hopkinson tension bar(SHTB) apparatus,combined with a hybrid experimental-numerical method.The center-cracked tension specimen is connected between the bars with a specially designed fixture device.The fracture initiation time is measured by the strain gage method,and dynamic stress intensity factors(DSIF) are obtained with the aid of 3D finite element analysis(FEA).In this approach,the dimensions of the specimen are not restricted by the connection strength or the stress-state equilibrium conditions,and hence plane strain state can be attained conveniently at the crack tip.Through comparison between the obtained results and those in open publication,it is concluded that the experimental data are valid,and the method proposed here is reliable.The validity of the obtained DFT is checked with the ASTM criteria,and fracture surfaces are examined at the end of paper.     

微型Hopkinson杆技术

介绍了一种可对材料进行更高应变率动态性能实验的微型Hopkinson杆技术,对金属材料其应变可超过104 s-1。使用激光径向位移测试仪和与传统Hopkinson杆对比实验,对微型Hopkinson杆技术的有效性进行了验证。实验结果表明,微型Hopkinson杆确定的试样应变与激光径向位移测试的结果相当吻合;在低应变率范围内,与传统Hopkinson杆的实验结果有很好的一致性。从而证明了微型Hopkinson杆技术可进行应变率在104 s-1以上材料的动态力学性能实验。     

改进的霍普金森压杆技术在聚氨脂泡沫塑料动态力学性能研究中的应用

用改进的霍普金森杆技术得到了聚氨脂泡沫塑料在动态应力均匀和恒应变率条件下的实验结果。