傅立叶弥散分析在冲击拉伸和冲击压缩试验中的应用

将傅立叶弥散分析方法和程序（ＦＦＴＤＳＰ）应用于冲击拉伸和冲击压缩试验中，分析了输入杆和输出杆中波的弥散效应对试验结果的影响。带有弥散修正的试验结果表明，由于入射脉冲产生方式不同，冲击压缩试验系统中传播的应力波带有显著的弥散效应，而间接杆杆型冲击拉伸试验系统中传播的应力波的弥散效应一般较小。     

Thickness Effect of Pulse Shaper on Dynamic Stress Equilibrium and Dynamic Deformation Behavior in the Polycarbonate Using SHPB Technique

0Introduction Thehighstrainratestress strainresponsesofpolymersandpolymericcompositematerialshave receivedincreasedscientificandindustrialattentioninrecentyears.Polymericmaterialsaresubjected todynamicloadingandhighstrainratedeformationinavarietyofimporta…     

一种新型的冲击扭转装置

本文介绍了一种新型的冲击扭转装置,它是基于 Kawata 的单杆方法而提出的。与常规的分离式 Hopkinson 扭杆相比,本装置载荷的有效作用时间更长,因而可用来讨论直至破坏(扭断)的材料动态力学性能。利用本装置对三种常用的金属材料进行了试验.结果表明,这种实验方法是可行的。     

SHPB实验中粘弹性试件内部应力波的传播

建立描述SHPB实验中线性粘弹性试件内部应力波传播的控制方程组,根据试件两端与入射杆及透射杆接触的应力波特征关系给出耦合边界条件.对方程组和定解条件进行Laplace变换,求得试件内部应力在变换域像函数的表达式.采用数值反变换技术进行反Laplace变换,获得试件两端的应力时程曲线.对现有的固定Tal-bot反变换算法进行改进:将入射波像函数分解为基本部分和延迟部分,利用固定Talbot算法对基本部分入射波作用下的波动问题求解,其他部分的解通过延迟定理得到,最终解为两部分的叠加.采用这种改进算法得到的不同入射波下粘弹性试件的内部应力解与传统的基于特征线数值模拟方法的结果吻合.在此基础上探讨了粘弹性试件的几何参数和材料本构参数对透射波波形的影响.     

An experimental investigation on the dynamic axial buckling of cylindrical shells using a Kolsky Bar

Several experiments were performed with a Kolsky Bar (Split Hopkinson Pressure Bar) device to investigate the dynamic axial buckling of cylindrical shells. The Kolsky Bar is a loading as well as a measuring device which can subject the shells to a fairly good square pulse. An attempt is made to understand the interaction between the stress wave and the dynamic buckling of cylindrical shells. It is suggested that the dynamic axial buckling of the shells, elastic or elasto-plastic, is mainly due to the compressive wave rather than the flexural or bending wave. The experimental results seem to support the two critical velocity theory for plastic buckling, withV _c1 corresponding to an axisymmetric buckling mode andV _c2 corresponding to a non-symmetric buckling mode. The project supported by National Natural Science Foundation of China     

Estimating Measurement Uncertainty on Stress-Strain Curves from SHPB

Split Hopkinson Pressure Bar tests are commonly used to determine material stress-strain relationship at high deformation rates. Obtaining this relationship is dependant both on certain assumptions and substantial post-processing of the data recorded during the test. Measurement uncertainty rarely appears on the resulting curves. This article introduces a simple method of estimating the measurement uncertainty associated with SHPB tests.     

冻土动态力学性能的实验研究

利用分离式霍布金森压杆(SHPB)对4种低温下的冻土进行了4种高应变 率的动态压缩实验. 实验结果表明：冻土不仅具有温度效应,还具有应变率效应,两种效应 反映出冻土材料的时温等效性. 另外这种时温等效性在分析冻土材料的破坏过程时还体现在 它的冻脆性和动脆性. 冻土材料动态应力应变曲线的汇聚现象和振荡现象均起源于这种冻脆 性和动脆性.     

硬质聚氨酯泡沫塑料本构关系的研究

介绍用大尺寸分离式Ｈｏｐｋｉｎｓｏｎ压杆对四种密度的硬质聚氨酯泡沫塑料进行高应变率实验，完整地给出了这种材料在１０３／ｓ高应变率下的包括弹性区、屈服区和致密区变形全过程的动态应力应变曲线，并提出了包括应力、应变、应变率和密度等参量的本构关系．     

Split Hopkinson Pressure Bar Graphical Analysis Tool

An open-source Split Hopkinson Pressure Bar graphical data analysis tool has been developed. Written in Matlab®, the code can be freely distributed either as an executable binary or editable Matlab files. Beginning with raw voltages from two strain gages along with the incident/transmitted bars’ mechanical and geometrical properties, the user can visually analyze forces and displacements at the bar faces and the stresses and strains in the specimen. Wave dispersion and modulus correction are available in this package. A modest documentation and video tutorials accompany the software.     

Propagation of a stress wave through a virtual functionally graded foam

Stress wave propagation through a Functionally Graded Foam Material (FGFM) is analysed in this paper using the finite element method. A finite element model of the Split Hopkinson Pressure Bar (SHPB) is developed to apply realistic boundary conditions to a uniform density foam and is validated against laboratory SHPB tests. Wave propagation through virtual FGFMs with various gradient functions is then considered. The amplitude of the stress wave is found to be shaped by the gradient functions, i.e., the stress can be amplified or diminished following propagation through the FGFMs. The plastic dissipation energy in the specimens is also shaped by the gradient functions. This property of FGFMs provides significant potential for such materials to be used for cushioning structures.     

Al2O3陶瓷材料应变率相关的动态本构关系研究

采用改进的SHPB实验方法对Al2O3陶瓷的动态力学性能进行了研究,得到了材料在较高应变率范围内的动态应力应变曲线。结果表明,Al2O3陶瓷为弹脆性材料,其动态应力应变呈非线性关系,在较高的应变率范围内,陶瓷材料的动态应力应变关系是应变率相关的;材料的初始弹性模量、破坏应力、破坏应变值随应变率的增大而增大。基于损伤力学的基本理论,给出了Al2O3陶瓷的一维损伤型线性弹脆性本构模型。根据SHPB实验结果确定模型中的参数,得到了Al2O3陶瓷应变率相关的损伤型动态本构方程。     

一种用于动态拉伸试验装置的新型试件装卡方式

针对杆杆型动态拉伸试验系统设计了一种新型的楔形卡口试件装卡方式.利用ANSYS/LS-DYNA软件,建立采用该新型试件装卡方式的直接式杆杆动态拉伸系统的三维有限元模型,并进行数值仿真试验.得到的波形与SHB(Split Hopkinson Bar)试验典型波形相符合,得到的动态应力应变曲线与输入材料模型曲线趋势是一致的.利用这种装卡方式对一种2024铝合金进行动态拉伸试验,得到的动态拉伸应力应变曲线与利用SHPB试验得到的动态压缩曲线基本一致,证明这种新型试件装卡方式是有效的.     

中高应变率下EPS泡沫的冲击压缩实验

用SHPB装置对三种密度的发泡聚苯乙烯(Expanded Polystyrene,EPS)材料进行了从300/s至1400/s共五个中高应变率下的冲击压缩实验。实验中采用波分离技术有效延长应力-应变曲线的测量范围,并简要介绍了其原理和具体实施办法。所有应变率下均获得了含有弹性段、平台屈服段和压实段完整三阶段的应力-应变曲线。曲线的重复性较好,应变率基本恒定。实验结果表明,相同密度EPS泡沫应力-应变曲线的屈服平台段长度随应变率的增加而增加,且趋于平缓。在相近应变率下,随EPS泡沫的密度增加,屈服应力增加,而变形及吸能能力减弱。     

Mechanical Properties of Ballistic Gelatin at High Deformation Rates

The characterization of soft or low impedance materials is of increasing importance since these materials are commonly used in impact and energy absorbing applications. The increasing role of numerical modeling in understanding impact events requires high-rate material properties, where the mode of loading is predominantly compressive and large deformations may occur at high rates of deformation. The primary challenge in measuring the mechanical properties of soft materials is balancing the competing effects of material impedance, specimen size, and rate of loading. The traditional Split Hopkinson Pressure Bar approach has been enhanced through the implementation of polymeric bars to allow for improved signal to noise ratios and a longer pulse onset to ensure uniform specimen deformation. The Polymeric Split Hopkinson Pressure Bar approach, including the required viscoelastic bar analysis, has been validated using independent measurement techniques including bar-end displacement measurement and high speed video. High deformation rate characterization of 10% and 20% ballistic gelatin, commonly used as a soft tissue simulant, has been undertaken at nominal strain rates ranging from 1,000 to 4,000/s. The mechanical properties of both formulations of gelatin exhibited significant strain rate dependency. The results for 20% gelatin are in good agreement with previously reported values at lower strain rates, and provide important mechanical properties required for this material.     

Testing Aluminum Alloy from Quasi-static to Dynamic Strain-rates with a Modified Split Hopkinson Bar Method

An aluminum alloy¹ was tested at quasi-static to dynamic strain-rates (from 10⁻¹ to 5 10³ s⁻¹), using a single measuring device, a modified Split Hopkinson Bar. A wave separation technique [Bussac et al., J Mech Phys Solids 50:321–350, 2002] based on the maximum likelihood method was applied to process the strain and velocity measurements recorded at various points on each bar. With this method, it is possible to compute the stress, strain, displacement and velocity at any point on the bar. Since the measurement time is unlimited, the maximum strain measured in a given specimen no longer decreases with the strain-rate, as occurs with the classical Split Hopkinson Bar method. ¹The authors wish to thank the automobile manufacturer who provided samples of the alloy used in this study. For reasons of commercial and industrial confidentiality, we were not informed about the composition of this alloy.     

Micromechanical Modeling of Elastic-Viscoplastic Behavior of Armco-Fe at High Strain Rate

Heterogeneous dynamical stress-strain response of Armco-Fe was investigated at high strain rates through the Split Hopkinson Pressure Bar(SHPB) testing. It was found that the viscoplastic deformation in BCC ferrite grains is affected by the strain rate. Thermal softening and variation in crystal orientations under high-strain-rate loading were used in the elastic-viscoplastic modeling. The micromechanical analysis with self-consistent transition and homogenization was used for estimation of the global impact response of the material. The results from modeling were found in good agreement with the experimental data.     

动静组合加载作用下花岗岩破碎的分形特征

在分离式霍普金森压杆实验装置上进行了花岗岩破坏的动静组合加载实验.通过对受载后岩样破碎块度进行筛分统计,得到了该加载条件下岩石破碎的粒度分布.在此基础上,通过理论计算公式,进一步得到了相应的破碎分形维数,分别探讨了静载荷和冲击载荷对分维数的影响.结果表明,动静组合加载作用下花岗岩破碎分维值在2.0～2.8之间;相同静载不同动载下,花岗岩的破碎分维值与试样的应变率有关,随应变率增大而增大;而在相同冲击动载下,静载荷变化对分形维数的影响不大.     

Application of DIC to Static and Dynamic Testing of Agglomerated Cork Material

In this work, experimental compression tests have been performed on parallelepiped specimens cut from an agglomerated cork slab. The tests have been performed both using a quasi-static testing machine and a polymeric Split Hopkinson Bar, in order to assess the sensitivity of the material to the strain rate. A standard and a high-speed digital camera have been used to collect frames of the samples during the tests. 2D DIC analyses have been conducted on the pictures of lateral faces of the specimens in order to evaluate the actual strain distributions, which showed a significant heterogeneity within each sample. Moreover, the DIC analyses on the dynamic tests have been used for evaluating the local accelerations and to compute the inertia stresses. The latter may affect the global response that can be measured by following the standard Hopkinson bar procedures, and are responsible for the fluctuations in the force histories observed in the tests at highest strain rates.     

Three-dimensional effects on the dynamic fracture determination of Al 7075-T651 using TPB specimens

Here we present a numerical analysis of three-dimensional effects on the dynamic three-point-bending fracture tests on Al 7075-T651 alloy specimens performed in a modified Split Hopkinson Pressure Bar. Using the Finite Element Method implemented in a commercial code the whole experimental device has been modeled. Different thicknesses and initial crack-to-width ratio specimens are simulated at different impact velocities to study the possible effect on the Crack Mouth Opening Displacement and, using a local stress fracture criterion, in the critical Stress Intensity Factor. The numerical results are compared with experimental results found by the authors.     

Exploration of Saint-Venant’s Principle in Inertial High Strain Rate Testing of Materials

Current high strain rate testing procedures of materials are limited by poor instrumentation which leads to the requirement for stringent assumptions to enable data processing and constitutive model identification. This is the case for instance for the well known Split Hopkinson Pressure Bar (SHPB) apparatus which relies on strain gauge measurements away from the deforming sample. This paper is a step forward in the exploration of novel tests based on time and space resolved kinematic measurements obtained through ultra-high speed imaging. The underpinning idea is to use acceleration fields obtained from temporal differentiation of the full-field deformation maps measured through techniques like Digital Image Correlation (DIC) or the grid method. This information is then used for inverse identification with the Virtual fields Method. The feasibility of this new methodology has been verified in the recent past on a few examples. The present paper is a new contribution towards the advancement of this idea. Here, inertial impact tests are considered. They consist of firing a small steel ball impactor at rectangular free standing quasi-isotropic composite specimens. One of the main contributions of the work is to investigate the issue of through-thickness heterogeneity of the kinematic fields through both numerical simulations (3D finite element model) and actual tests. The results show that the parasitic effects arising from non-uniform through-the-thickness loading can successfully be mitigated by the use of longer specimens, making use of Saint-Venant’s principle in dynamics.