Synchronous Full-Field Strain and Temperature Measurement in Tensile Tests at Low,Intermediate and High Strain Rates

Tensile tests with simultaneous full-field strain and temperature measurements at the nominal strain rates of 0.01, 0.1, 1, 200 and 3000 s^?1 are presented. Three different testing methods with specimens of the same thin and flat gage-section geometry are utilized. The full-field deformation is measured on one side of the specimen, using the DIC technique with low and high speed visible cameras, and the full-field temperature is measured on the opposite side using an IR camera. Austenitic stainless steel is used as the test material. The results show that a similar deformation pattern evolves at all strain rates with an initial uniform deformation up to the strain of 0.25–0.35, followed by necking with localized deformation with a maximum strain of 0.7–0.95. The strain rate in the necking regions can exceed three times the nominal strain rate. The duration of the tests vary from 57 s at the lowest strain rate to 197 μs at the highest strain rate. The results show temperature rise at all strain rates. The temperature rise increases with strain rate as the test duration shortens and there is less time for the heat to dissipate. At a strain rate of 0.01 s^?1 the temperature rise is small (up to 48 °C) but noticeable. At a strain rate of 0.1 the temperature rises up to 140 °C and at a strain rate of 1 s^?1 up to 260 °C. The temperature increase in the tests at strain rates of 200 s^?1 and 3000 s^?1 is nearly the same with the maximum temperature reaching 375 °C.     

高温高应变率下材料拉伸性能测试的一种新方法

为了实现高温环境下材料高应变率动态拉伸实验技术,将分离式Hopkinson杆直接拉伸装置中试样与拉杆的螺纹连接形式变成楔形连接形式,并加装了气动同步装置系统。这样,在对试样加高温时,能使靠近试样的入射和透射杆端处于较低温度。当撞击管向传递法兰运动时,气动同步装置瞬间拖动透射杆和试样,使两者之间的间隙为零,此时沿入射杆传递的入射波同时对试样拉伸加载。经实验验证,此方法可以有效实现材料高温高应变率拉伸加载。     

纤维增强复合材料高应变率拉伸实验技术研究

本文对基于分离Hopkinson杆的反射式纤维增强复合材料动态拉伸实验技术进行了研究讨论。对加载杆中可能影响拉伸应力波波形实验分析的所有干扰波进行了较系统地定量分析研究,认为产生于试样端头与加载杆界面处的两主要干扰波对希望得到的应力波的测量和判别具有严重的不利影响,因此拉伸实验设计必须避开该主干扰波的重叠影响。文中对动态拉伸实验装置、实验要求及信号采集等作了分析。根据对试验结果的分析,针对复合材料动态拉伸实验技术的若干问题提出了一些处理方法和建议,诸如干扰波的规避、冲击信号合理测点的选取、加载杆长度匹配、复合材料拉伸试样的设计要求以及加载连接等问题。这些方法和建议包括在加载杆特定段上贴应变片,考虑到实验的准确性一般不用反射波进行数据计算处理,尽量缩短试样标距等。     

多晶纯钛在高应变率不同温度下的拉伸力学行为实验研究

利用MTS809和自行研制的旋转盘冲击拉伸试验机,对多晶纯钛进行了应变率为0.001s-1和300s-1、温度为298K至973K的拉伸试验和应变率为300 s-1不同温度下的冲击拉伸复元试验,得到了多晶纯钛的拉伸应力应变曲线和高应变率等温应力应变曲线。试验结果表明,多晶纯钛的拉伸力学行为具有应变率和温度相关性。采用修正的Johnson-Cook模型进行数值拟合,结果表明,该本构模型能较好地表征多晶纯钛在试验应变率和温度范围内的拉伸力学行为。     

大理岩的高应变率动态劈裂实验

首次把平台巴西圆盘试样引入动态劈裂试验。利用直径100mm的分离式Hopkinson杆对大理岩巴西圆盘和平台巴西圆盘试样进行了动态劈裂实验。结合有限元分析,得到了大理岩的动态劈裂破坏的拉伸强度。分析了巴西圆盘和平台巴西圆盘的典型破坏方式。结果表明,大理岩的动态拉伸强度随着应变率的提高而增加。利用圆盘中心粘贴的应变片来测大理岩等脆性材料的动态拉伸强度,是一种简便高效的试验方法。和巴西圆盘相比,平台巴西圆盘具有更大的优越性和更好的测量效果。     

Decoupling of Autogenous Shrinkage and Tensile Creep Strain in High Strength Concrete at Early Ages

Appropriately interpreting the measured creep strain is critical for obtaining the actual creep strain, especially for high-strength concretes characterized by a low water/cement ratio (w/c) because autogenous shrinkage is significant in such concrete at early ages. To investigate the interaction between the autogenous shrinkage and tensile creep of concrete at early ages, various tests were conducted on concretes with water/cement (w/c) ratios =0.3 and 0.4, including basic tensile creep, strength, autogenous shrinkage, and the internal relative humidity (RH) measurements. The load was applied at the ages of 1 and 7 days at the stress/strength levels of 40% and 70%, respectively. It was found that the measured early-age tensile creep strain becomes negative due to the large autogenous shrinkage involved. The principle of superposition can be used for creep-autogenous shrinkage decoupling to obtain the actual basic tensile creep, as there is virtually no additional RH reduction or stress-induced shrinkage in concrete due to the sustained tensile load at early ages. An average tensile strength gain of 8.2% was found in specimens after sustained tensile loading compared to the unloaded specimens. An exponential function is proposed to quantify the autogenous shrinkage effect on the basic tensile creep in terms of specific creep/autogenous shrinkage ratio.     

An Experimental Method to Determine the Tensile Strength of Concrete at High Rates of Strain

In the present work, dynamic tensile strength of concrete is experimentally investigated by means of spalling tests. Based on extensive numerical simulations, the paper presents several advances to improve the processing of spalling tests. The striker is designed to get a more uniform tensile stress field in the specimen. Three methods proposed in the literature to deduce the dynamic strength of the specimen are discussed as well as the use of strain gauges and a laser extensometer. The experimental method is applied to process data of several tests performed on wet micro-concrete at strain rates varying from 30 to 150/s. A significant increase of the dynamic tensile strength with strain-rate is observed and compared with data of the literature. In addition, post-mortem studies of specimens are carried to improve the analysis of damage during spalling tests.     

玻纤增强复合材料高应变率拉伸实验研究

利用爆炸膨胀环实验技术,对玻璃纤维增强复合材料(GFRC)进行了高应变率(104s-1)下力学性能研究。实验中使用铜丝汽化引爆装药的方法对驱动环进行能量加载,并采用激光速度干涉仪(VISAR)测量试样环自由膨胀的质点速度,实现了玻璃纤维增强复合材料在104应变率下的一维拉伸破坏,并获取了该材料的速度时间曲线。经过计算得到了材料的应力应变关系,最后与该材料在准静态下、中高应变率下实验得到的数据进行了比较。     

An Apparatus for Tensile Characterization of Materials within the Upper Intermediate Strain Rate Regime

Experimental Mechanics - A new “Drop-Hopkinson bar” apparatus has been successfully developed for material tensile property characterization at intermediate strain rates. This new...     

A New Device for Tensile and Compressive Testing at Intermediate Strain Rates

Experimental Mechanics - A new device for conducting tensile and compressive tests at strain rates ranging from about 20 s?1 to 250 s?1 is presented. The operation of...     

Miniaturized Compression Test at Very High Strain Rates by Direct Impact

A modified miniaturized version of the Direct Impact Compression Test (DICT) technique is described in this paper. The method permits determination of the rate-sensitive plastic properties of materials up to strain rate ∼10⁵ s⁻¹. Miniaturization of the experimental setup with specimen dimensions: diameter d _S = 2.0 mm and thickness l _S = 1.0 mm, Hopkinson bar diameter 5.2 mm, with application of a novel optical arrangement in measurement of specimen strain, makes possible compression tests at strain rates from ∼10³ s⁻¹ to ∼10⁵ s⁻¹. In order to estimate the rate sensitivity of a low-alloy construction steel, quasi-static, Split Hopkinson Pressure Bar (SHPB) and DICT tests have been performed at room temperature within the rate spectrum ranging from 5*10⁻⁴ s⁻¹ to 5*10⁴ s⁻¹. Adiabatic heating and friction effects are analyzed and the final true stress versus true strain curves at different strain rates are corrected to a constant temperature and zero friction. The results have been analyzed in the form of true stress versus the logarithm of strain rate and they show two regions of a constant rate sensitivity : relatively low up to the strain rate threshold ∼50 s⁻¹, and relatively high above the threshold, up to strain rate ∼4.5*10⁴ s⁻¹.     

Modal Analysis of a Servo-Hydraulic High Speed Machine and its Application to Dynamic Tensile Testing at an Intermediate Strain Rate

This paper describes the experimental procedure to identify the predominant frequencies of the high speed testing machine by conducting modal analysis. The effects due to the predominant frequencies of the system and loading rate on the magnitude of system ringing and the flow stress were analyzed by using a single degree-of-freedom (SDOF) spring-mass-damper model. The system was then used to study the dynamic tensile behavior of two engineering materials, i.e., polyethylene (PE) fabric-cement composite and Alkaline Resistant (AR) glass fabrics at an intermediate strain rate. The stress oscillations in the response of these materials due to system ringing were addressed. The failure behavior of each material was studied by examining high speed digital camera images of specimens during the test. The validity of the dynamic tensile tests was investigated by examining the condition of dynamic stress equilibrium—a criterion used in split Hopkinson pressure bar (SHPB) tests. The results show that the quantitative criterion for a valid SHPB test is also applicable to dynamic tensile tests of these materials at the intermediate strain rate.     

Evaluation of the Material Properties of an OFHC Copper Film at High Strain Rates Using a Micro-Testing Machine

The material properties of an oxygen-free high thermal conductivity (OFHC) film with a thickness of 0.1 mm were evaluated at strain rates ranging from 10⁻³/s to 10³/s using a high-speed material micro-testing machine (HSMMTM). The high strain-rate material properties of thin films are important especially for an evaluation of the structural reliability of micro-formed parts and MEMS products. The high strain-rate material testing methods of thin films, however, have yet to be established to the point that the testing methods of larger specimens for electronics, auto-body, train, ship, and ocean structures are. For evaluation, a new type of HSMMTM was developed to conduct high-speed tensile tests of thin films. This machine is capable of testing at a sufficiently high tensile speed with an electromagnetic actuator, a novel gripping mechanism, and an accurate load measurement system. The OFHC copper film shows high strain-rate sensitivity in terms of the flow stress, fracture elongation, and strain hardening. These measures increase as the tensile strain rate increases. The rate-dependent material properties of an OFHC copper film are also compared with those of a bulk OFHC copper sheet with a thickness of 1 mm. The flow stress of an OFHC copper film is relatively low compared to that of a bulk OFHC copper sheet in the entire range of strain rates, while the fracture elongation of an OFHC copper film is much larger than that of a bulk OFHC copper sheet. A quantitative comparison would provide material data at high strain rates for the design and analysis of micro-appliances and different types of micro-equipment.     

Characterization of the High Temperature Strain Partitioning in Duplex Steels

A microgrid technique has been developed for the analysis of the high-temperature micro-scale strain distribution between ferrite and austenite into duplex stainless steels. The local strain is measured by micro-extensometry using square microgrids engraved on flat specimens by electro-lithography. The sample with microgrids on the surface and preliminary imaged with high definition scanning electron microscope (SEM), is inserted in a plane strain compression specimen to be deformed under conditions representative of hot rolling. After deformation, the sample is extracted from the compressed block and the surface is again analyzed by SEM and image processing to determine the strain field. The strain is heterogeneously distributed with a strong localization of the deformation, in the form of shear bands located within the ferrite and at the vicinity of the austenite/ferrite interphase boundaries. These strain maps provide useful informations about the rheology of the phases as well as about the local conditions at the origin of the damage process.     

Modelling of Progressive Strain Tests by a Non-linear Relaxation Approach

A model based on the thermodynamics of relaxations of continuous media (called DNLR as Distribution of nonlinear relaxations) is used to describe the tension/torsion progressive strain phenomenon. The proposed model is compared to the experimental data obtained by Benham on mild steel at room temperature with satisfactory results. We discuss the capacities and the relevance of the model obtained.     

Quasi-Static and High Strain Rate Simple Shear Characterization of Soft Polymers

Experimental Mechanics - The simple shear response of soft polymers under large deformation (>50%) and strain rates spanning 10?3 – 103 s?1 is characterized by...     

Load-Inversion Device for the High Strain Rate Tensile Testing of Sheet Materials with Hopkinson Pressure Bars

A high strain rate tensile testing technique for sheet materials is presented which makes use of a split Hopkinson pressure bar system in conjunction with a load inversion device. With compressive loads applied to its boundaries, the load inversion device introduces tension into a sheet specimen. Two output bars are used to minimize the effect of bending waves on the output force measurement. A Digital Image Correlation (DIC) algorithm is used to determine the strain history in the specimen gage section based on high speed video imaging. Detailed finite element analysis of the experimental set-up is performed to validate the design of the load inversion device. It is shown that under the assumption of perfect alignment and slip-free attachment of the specimen, the measured stress–strain curve is free from spurious oscillations at a strain rate of 1,000 s^?1. Validation experiments are carried out using tensile specimens extracted from 1.4 thick TRIP780 steel sheets. The experimental results for uniaxial tension at strain rates ranging from 200 s^?1 to 1,000 s^?1 confirm the oscillation-free numerical results in an approximate manner. Dynamic tension experiments are also performed on notched specimens to illustrate the validity of the proposed experimental technique for characterizing the effect of strain rate on the onset of ductile fracture in sheet materials.     

高灵敏云纹干涉法测量应变场

云纹干涉法是一种新的实验力学方法,具有高灵敏度,测量范围广,条纹对比度好等优点.通过在光路中添加一楔块或晶体玻璃,可以实时的观察云纹条纹,一次曝光就可得到全场的应变.     

Strain Rates and Material Spins

The material time rate of Lagrangean strain measures, objective corotational rates of Eulerian strain measures and their defining spin tensors are investigated from a general point of view. First, a direct and rigorous method is used to derive a simple formula for the gradient of the tensor-valued function defining a general class of strain measures. By means of this formula and the chain rule as well as Sylvester's formula for eigenprojections, explicit basis-free expressions for the material time rate of an arbitrary Lagrangean strain measure can be derived in terms of the right Cauchy–Green tensor and the material time rate of any chosen Lagrangean strain measure, e.g. Hencky's logarithmic strain measure. These results provide a new derivation of Carlson–Hoger's general gradient formula for an arbitrary generalized strain measure and supply a new, rigorous proof for Carlson–Hoger's conjecture concerning the n-dimensional case. Next, by virtue of the aforementioned gradient formula, a general fact for objective corotational rates and their defining spin tensors is disclosed: Let Ω = ϒ ( B, D, W) be any spin tensor that is continuous with respect to B, where B, D and B are the left Cauchy–Green tensor, the stretching tensor and the vorticity tensor. Then the corotational rate of an Eulerian strain measure defined by Ω is objective iff Ω = W + υ ( B, D), where Υ is isotropic. By means of this fact and certain necessary or reasonable requirements, it is further found that a single antisymmetric function of two positive real variables can be introduced to characterize a general class of spin tensors defining objective corotational rates. A general basis- free expression for all such spin tensors and accordingly a general basis-free expression for a general class of objective corotational rates of an arbitrary Eulerian strain measure are established in terms of the left Cauchy–Green tensor B and the stretching tensor B as well as the introduced antisymmetric function. By choosing several particular forms of the latter, all commonly-known spin tensors and corresponding corotational rates are shown to be incorporated into these general formulas in a natural way. In particular, with the aid of these general formulae it is proved that an objective corotational rate of the Eulerian logarithmic strain measure ln V is identical with the stretching tensor D and moreover that in all possible strain tensor measures only ln V enjoys this property. This revised version was published online in August 2006 with corrections to the Cover Date.