采用改进的SHPB方法对泡沫铝动态力学性能的研究

本文改进了传统的分离式霍布金森压杆(SHPB)技术，采用夹在透射杆中的PVDF压电计直接测量透射杆中的应力时程．同时，采用输入波形整形技术，通过调整加载波形，使试样加载过程中保证均匀变形及应力平衡．利用此改进了的SHPB技术对泡沫铝进行了高应变率下的动态压缩实验．实验结果表明：泡沫铝的动态应力应变曲线具有泡沫材料的应力应变曲线的“三阶段”特征(elastic region，collapse region and densification region)，并且应变率对其力学性能影响明显．     

SHPB实验中的端面凹陷修正

提出了一种关于霍普金森压杆(SHPB)实验中压杆端面凹陷的分析方法,并在此基础上提出了修 正该凹陷的数据处理技术。将该技术与其他数据处理技术相结合,可提高SHPB实验中应变的计算精度。 该技术使SHPB可以用于小应变范围测试,并使利用SHPB测得完整的、精度及可靠性可与准静态测试相当 的材料动态应力应变曲线成为可能。     

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。     

宽应变率范围下2A16-T4铝合金动态力学性能

为了研究2A16-T4铝合金的动态力学性能,利用电子万能试验机、高速液压伺服试验机及霍普金森压杆(SHPB)装置进行常温下准静态、中应变率和高应变率的动态力学性能实验,得到不同应变率下的应力应变曲线,基于修正的Johnson-Cook本构模型对它进行拟合,并分析材料中应变率力学特性对模型应变率敏感参量的影响。结果表明:2A16-T4铝合金在应变率10-4~102 s-1范围内应变率敏感性较弱,而在102~103 s-1范围内应变率敏感性较强,且应变率强化效应随塑性应变的增大而减小;同时,在10-4~103 s-1范围内具有较强的应变硬化效应,且应变硬化效应随应变率的增大而减小;此外,修正Johnson-Cook本构模型的拟合结果与实验结果吻合很好,能够很好表征材料的动态力学行为,且考虑材料中应变率力学特性可提高本构模型参量的准确性。     

921A钢纯剪切帽状试件在SHPB实验中的动态变形

应用ANSYS/LS-DYNA软件,开展了一系列基于921A钢纯剪切帽状试件的SHPB数值模拟.结合SHPB系统应力波理论,研究不同加载速率v0(或应力脉冲I(t))下,特别是高应变率(约106 s-1)下的压杆轴向应变波形以及相应的试件动态变形特性,并对高速撞击下压杆中应变波形的适用性作了相关讨论.     

变形模式对多孔金属材料SHPB实验结果的影响

利用两种改进后的Hopkinson杆实验分别测得多孔金属材料冲击端和支撑端的应力.实验结果及高速摄影表明,随着撞击速度的增加,试件两端的应力均匀性变差,分别对应着泡沫材料的3种变形模式:准静态模式、过渡模式、冲击模式.实验得出在冲击模式下,冲击端与支撑端的应力与试件的厚度无关,但是与试件的密度有关.在多孔金属的高应变率实验中,变形模式对SHPB实验有很大的影响,轴向惯性(波动)效应会导致试件两端的应力不均匀,此时利用SHPB得出的实验结果将会是应变率效应和惯性效应的耦合,不能真实反映材料的动态力学性能(应变率效应).      

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.     

混凝土高温动态力学特性与本构方程

混凝土材料是多相复合材料,高温动荷载作用下其力学行为非常复杂。为此,对混凝土在爆炸、火灾等高温环境中力学特性的研究,有利于减小混凝土结构在爆炸及火灾事故中的损失。文中首先利用分离式霍普金森压杆试验装置(SHPB)设计出一套混凝土高温试验方案,然后基于15组试验工况对混凝土在温度为16℃至650℃范围内,加载撞击速度分别为5m/s、7m/s和12m/s时进行了SHPB试验,获得了与之对应的应力应变曲线。试验结果表明,混凝土应变率增强效应与高温弱化效应相互耦合,致使混凝土受温度的影响显著大于其应变率。最后,由试验结果以经典损伤理论模型为基础,根据混凝土高温动态力学特性,构建了一个统一的方程来描述混凝土高温动态应力应变关系的全过程,并且该本构方程计算结果与试验数据吻合良好。     

高应变率下多孔未极化PZT95/5铁电陶瓷的非线性力学行为

采用添加造孔剂的方法制备了4种不同孔隙率的未极化PZT95/5铁电陶瓷。采用基于超高速相机与数字图像相关性方法的试样全场应变测量技术以及分离式霍普金森压杆（SHPB）技术,对多孔未极化PZT95/5铁电陶瓷进行高应变率单轴压缩实验研究。全场应变测量结果显示:轴向应变仅在试样中部分布较均匀,将该区域的平均应变作为应力-应变关系中的试样应变测量值较为合理,而由SHPB原理计算的试样应变值明显偏大,需要摒弃或修正传统的SHPB数据处理方法。通过波形整形技术实现了恒应变率加载,弱化了径向惯性效应的影响,揭示出多孔未极化PZT95/5铁电陶瓷的压缩强度具有显著的应变率效应。通过分析试样轴向应变和径向应变随着加载应力的变化,阐明多孔未极化PZT95/5铁电陶瓷的非线性变形行为的物理机制是畴变和相变共同作用,并发现畴变临界应力和相变临界应力都随着应变率升高而增大。保持加载应变率不变,讨论了孔隙率对多孔未极化PZT95/5铁电陶瓷动态力学行为的影响,发现随着孔隙率的升高,动态压缩强度呈非线性衰减,而畴变临界应力和相变临界应力则基本呈线性衰减。     

用于高强度材料的SHPB实验添加垫块法

提出了用于高强度材料的改进的SHPB实验方法添加垫块法,运用数值模拟方法,利用有限元程序LS-DYNA3D分析了添加垫块实验方法的合理性和可行性。根据一维应力波理论,给出了数据处理的修正方法。作为应用实例,采用改进的实验方法对高强度的Al2O3陶瓷材料的动态力学性能进行了研究,得到了比常规方法较高的应变率及应力应变范围的动态应力应变曲线,表明Al2O3陶瓷为应变率相关的非线性弹脆性材料。结果表明,添加垫块实验方法可有效地防止实验中压杆端面的变形,提高试件的应力应变及应变率水平。添加垫块实验方法为在SHPB装置上实现高强度材料的动态实验提供了一种方便实用的途径。     

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…     

Comparison of Low Impedance Split-Hopkinson Pressure Bar Techniques in the Characterization of Polyurea

The split-Hopkinson pressure bar (SHPB) technique has been widely employed for over fifty years in characterizing the high strain-rate properties of many common engineering materials. Historically, however, this technique has had limited success in characterizing soft materials, since their low mechanical impedances can increase delays in attaining dynamic equilibrium and result in transmission pulses with extremely low signal-to-noise ratios. Due to interest in improving characterization of soft materials at high strain rates, numerous modifications to the traditional SHPB technique have been proposed. These include: using more sensitive piezoelectric gauges, employing hollow transmission bars, utilizing lower impedance polymeric pressure bars, and the use of pulse shaping techniques. To date, there has been no comparative studies or consensus within the SHPB community as to which approach is most advantageous. The goal of this investigation is to compare a number of these techniques, specifically the use of PMMA pressure bars and a hollow aluminum transmission bar (both with and without pulse shaping), alongside more traditional solid aluminum pressure bars in the characterization of polyurea, a common low impedance polymer. The advantages and disadvantages of each technique in generating high strain-rate stress-strain curves are discussed.     

Dynamic characterization of compliant materials using an all-polymeric split Hopkinson bar

The split Hopkinson bar is a reliable experimental technique for measuring high strain rate properties of high-strength materials. Attempts to apply the split Hopkinson bar in measurement on more compliant materials, such as plastics, rubbers and foams, suffer from limitations on the maximum achievable strain and from high noise-to-signal ratios. The present work introduces and all-polymeric split Hopkinson bar (APSHB) experiment, which overcomes these limitations. The proposed method uses polymeric pressure bars to achieve a closer impedance match between the pressure bars and the specimen materials, thus providing both a low noise-to-signal ratio data and a longer input pulse for higher maximum strain. The APSHB requires very careful data reduction procedures because of the viscoelastic behavior of the incident and transmitter pressure bars. High-quality stress-strain data for a variety of compliant materials, such as polycarbonate, polyurethane foam and styrofoam, are presented.     

An Element Free Galerkin analysis of steady dynamic growth of a mode i crack in elastic–plastic materials

An Element Free Galerkin (EFG) method based formulation for steady dynamic crack growth in elastic–plastic materials is developed. A domain convecting parallel to the steadily moving crack tip is employed. The EFG methodology eliminates the stringent mesh requirements of the Finite Element Method (FEM) for such problems. Both rate-independent materials and rate-dependent materials are considered. The material is characterized by von Mises yielding condition and an associated flow rule. For rate-independent materials, both the influence of crack speeds and that of strain hardening on the mechanics of steady dynamic crack growth are investigated. For rate-dependent materials, only a non-hardening material is considered with emphasis on determining the influence of viscous properties of materials and crack speeds. The influence of strain hardening on steady dynamic crack growth shows the same trends as for steady quasi-static crack growth. The simplifications used in the literature in deriving analytical solutions for high strain-rate crack growth have been examined thoroughly using the numerical results.     

Thermal Failure of Polymeric Structural Elements under Monoharmonic Deformation

Thermal-failure problems are formulated for three-dimensional, thin-walled structural elements made of passive and piezoactive materials and subjected to monoharmonic deformation. Methods are described for calculation of critical electric and mechanical, quasistatic and dynamic monoharmonic loads and for analysis of postcritical behavior. The influence of various factors on the critical load is analyzed. Theoretical and experimental data are compared and found to be in good agreement, which is indicative of the reliability of the models used to describe the thermal failure of polymeric structural elements     

An interpretation of photoviscoelastic/plastic data

The birefringent effect of viscoelastic and viscoplastic polymeric materials is considered and shown to have separate contributions from the stress, recoverable strain and the permanent deformations. Experimental data for a number of materials are discussed and the procedure for analyzing these data described.     

应变局部化分析中两类不同材料模型的讨论

特定情况下单相固体材料率相关模型与多孔介质中的渗流作用均对问题的动力应变局部化分析产生内尺度律效应，对两类问题基本解之间的关系进行讨论，给出了两类不同材料模型解之间的若干联系．     

The conditions of minimum potential energy and Castigliano's functional in a non-linear media

The behaviour of many polymeric materials under an external load may be described by a general form of non-linear relationship between stress and strain. In order to investigate such models, for example by a finite element method, it is necessary to construct the functional of energy (Castigliano or Lagrange's functional) and to find the extremum of the functional. Therefore, it is important to find the conditions under which functionals have a minimum. In this paper, the conditions when the functionals have a minimum for general stress-strain relations were investigated and an iterative method for the solution of the non-linear problems was proposed. The numerical results of the convergence speed of various iterative methods were discussed. This work is the continuation of the research presented in the literature by Oshhkunov and Ozden (The general stress and strain relationship in non-linear materials, Int. J. Non-Linear Mech. 35 (2000) 763-767.)     

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。