混凝土材料冲击压缩试验中的一些问题

本文简要介绍了在大直径（φ74mm)直锥变截面式SHPB实验装置上进行混凝土试件冲击压缩实验方法。以及实验过程中出现的试件应力均匀性问题，对于由方波加载造成的试件内应力波反射次数不够，导致应力分布不均匀的问题，我们提出了波形整形的思想。将矩形波改造成三角波，增加试件破坏前的应力作用时间以获得应力均匀;对于由杆与试件接触不平引起的应力分布不均。我们设计了万向头加以消除，在此基础上进行了一系列试验并得出了一些结论。     

大直径SHPB装置的数值模拟及实验误差分析

介绍了用于混凝土冲击试验的Φ100SHPB装置。利用数值模拟和应变测试相结合的方法讨论了应力波在该装置中的传播特性。二维效应导致应力波在大直径SHPB装置传播过程的弥散现象。同时在实验的大部分时间内大尺寸试样的应力(应变)存在不均匀性。因此大直径SHPB装置进行混凝土冲击压缩应力-应变曲线的实验研究会产生误差。利用数值模拟分析了误差影响程度,同时验证了用混凝土试样应变和透射杆应力得到应力-应变曲线初始段的可行性。     

冲击荷载作用下混凝土动态力学性能数值模拟研究

利用直锥变截面式Φ74 mm SHPB对混凝土和水泥砂浆材料进行了三种不同冲击速度下的动态力学性能实验,分析了其冲击速度对混凝土力学性能的影响规律。应用刚性板冲击加载的方式进行了混凝土动力响应的数值模拟研究,数值模拟结果与实验结果吻合较好。数值模拟表明：混凝土的峰值应力随着冲击速度的增大而增大,混凝土是一种率敏感材料;随着粗骨料体积含量增大,冲击荷载作用下混凝土的峰值应力呈现先增大后减小的趋势,粗骨料体积含量为40%时混凝土峰值应力最大;保持粗骨料最大粒径不变,随着粗骨料最小粒径的增大,混凝土的峰值应力逐渐减小;保持粗骨料最小粒径不变,随着粗骨料最大粒径的增大,混凝土的峰值应力呈现先增大后减小的趋势,数值模拟结果为混凝土的工程应用提供了理论依据和技术支撑     

冲击载荷下混凝土材料的动态本构关系

利用改装的杆径为 74mm的直锥变截面式大尺寸Hopkinson压杆对混凝土材料进行冲击压缩实验 ,系统研究了混凝土的应变率硬化效应 ,采用一种新的方法损伤冻结法对混凝土材料在冲击载荷下的损伤软化效应进行了系统研究 ,给出了冲击载荷下混凝土的损伤演化方程 ;在对数据进行合理分析的基础上 ,结合粘弹性本构理论 ,得到混凝土材料的损伤型线性粘弹性本构关系。     

应力波在变截面体中的传播特性

对应力波在变截面体中的传播特性进行了理论研究和数值分析。以杆中一维纵波波动理论和谐波分析法为基础，研究截面变化所导致的应力波的波形弥散和波幅变化。推导了与截面变化相关的应力波演化因子，并对由于截面变化所造成的几何弥散等二维效应进行了分析，同时计算了变截面体的几何特征参数和截面变化等因素影响应力波演化规律的特点。     

PVDF应力测量技术及在混凝土冲击实验中的应用

介绍了使用PVDF(polyvinylidene fluoride,聚偏二氟乙烯)应力计的应力直接测量技术。在SHPB装置上进行自制PVDF应力计动态压电系数的标定实验,分析了应力集中、横向泊松效应、摩擦效应对PVDF应力计信号及动态压电系数的影响。用PVDF应力计进行了混凝土的冲击压缩实验。利用混凝土前后端面PVDF应力计信号分析了实验过程中混凝土试样的应力均匀性。与应变计直测应变技术相结合得到了混凝土的动态应力-应变关系。     

SHPB试验中试件的轴向应力均匀性

针对SHPB试验中试件的轴向应力均匀性问题,采用一维弹性波理论,推导了具有任意形状前沿的入射波加载下,试件内应力的时空分布计算公式。以脉冲前沿的上升时间为参数,将矩形、梯形和坡形3种典型的输入脉冲统一表示为梯形波的形式,计算了不同入射波上升时间和不同试件-压杆波阻抗比情况下试件中的应力传播过程,得到了相应的应力均匀度时程曲线以及应力平衡时间。分析了入射波上升时间和试件-压杆波阻抗比对应力平衡时间的影响,得到了一些有意义的认识,为SHPB试验的设计与分析提供了一定的理论依据。     

混凝土SHPB束杆装置冲击实验的数值仿真

利用Ansys/Ls-dyna有限元软件模拟不同打击气压下混凝土SHPB束杆实验,对实验装置模型进行了简化;采用梯形应力脉冲载荷,模拟得到了实验中试件的应力-应变曲线。结果显示:模拟结果与实验结果吻合较好,验证了该方案的可行性;同时试样应力峰值随打击气压增大而增大。对不同幅值梯形应力脉冲加载下的SHPB束杆装置和单杆装置实验进行数值仿真,研究表明:束杆装置中试样应力峰值比单杆装置小一些;随应力脉冲载荷幅值增大,束杆装置中试样应力峰值增长速度要高于单杆装置。     

直梁弯曲切应力的讨论

针对矩形截面直梁横力弯曲,讨论了弯曲切应力推导的假设条件,给出了弯曲切应力公式的适用范围.并通过图像的方式展示了不同截面形状下弯曲切应力的分布模式,为学生全面认识与理解弯曲切应力分布提供课堂教学补充材料.     

PMMA动态拉伸破坏实验研究

本文利用Hopkinson压杆系统对PMMA变截面柱锥试样进行冲击加载,研究材料动态拉伸断裂特性和破坏机理.由于PMMA的拉压强度差别不大,采用圆柱状试件难以产生反射拉伸破坏,因此,将试样设计为圆柱锥状,实验时,将试样的圆柱端粘贴于输入杆上.实验结果表明,在一定的撞击速度下,由于应力波的汇聚作用,在试样锥段产生了反射拉伸破坏;当撞击速度较高时,在产生反射拉伸破坏的同时,试件中还产生了银纹区,随着打击速度的提高,银纹区域增大.同时根据断口的SEM观察,研究了材料的破坏机制.     

Propagation of a long wave in a curved duct (I) basic analysis of long wave propagation in a curved duct with variable cross section

The propagation of a long wave in a three-dimensional curved duct with variable cross section is studied in this paper. It is shown that a three-dimensional Helmholtz equation can be decomposed into a two-dimensional Laplace (or Poisson) equation and a one-dimensional Webster equation by the curvilinear orthogonal coordinate system, non-dimensionization of reduced wave equation and regular perturbation with small parameterka, wherek is the wave number anda is the characteristic radius of the duct. The influences of the duct's geometric parameters (the area variation of the cross section, the curvature and torsion of the central line) on the asymptotic expansion of the solution are analysed. It is concluded that the effects of the variation of the cross sectional area first appear in the first term of the asymptotic expansion, and when the cross section shape has certain symmetric properties, the effects of the curvature and torsion of the central line first appear in the third and the fourth terms, respectively. An example of long wave propagation in a curved circular duct is also given at the end of this paper.     

沙漠砂混凝土动态力学性能实验研究

采用直锥变截面式Φ74mm分离式霍普金森压杆,对不同替代率沙漠砂混凝土进行冲击压缩实验,得到了不同替代率沙漠砂混凝土在不同应变率下的应力应变曲线。分析应变率对沙漠砂混凝土峰值应力、峰值应变和比能量影响,揭示了沙漠砂替代率对沙漠砂混凝土峰值应力影响规律,并对沙漠砂混凝土动态破坏模式进行研究。研究表明:随着应变率增加,沙漠砂混凝土峰值应力、强度增强因子、比能量和峰值应变逐渐增大;在同一应变率下,随着替代率增加,沙漠砂混凝土峰值应力逐渐减小。本文研究结果可为沙漠砂在工程中的应用提供指导和借鉴。     

Experimental investigation of transient flexural waves in beams with discontinuities of cross section

There has been little experimental work on flexural wave propagation in general and on flexural wave propagation in beams with discontinuities of cross section in particular. Experimental data are obtained for various test beams subjected to eccentric longitudinal impact. The bending strain versus time results are presented for several positions along a uniform beam and finite beams (of circular cross section) with discontinuities of cross section. Bending strain histories are recorded at several positions before and after the discontinuity. The effect of reflections on the propagated flexural wave is illustrated. The dispersion of the traveling flexural wave caused several alternating peaks within the duration of the original positive input pulse. The importance of investigating discontinuities of cross section in structures subjected to impact loading is clearly manifested.     

Internal-strain measurements of longitudinal pulses in conical bars

Longitudinal stress waves in a truncated 20-deg solid cone were investigated using embedded semiconductor strain gages. The cone, composed of an aluminum-filled epoxy, was struck normally at its small end with a 1/2-in.-diam steel ball traveling at a velocity of 170 jps. The results show the magnitude of the resulting stress wave to be nonuniform over a plane cross section perpendicular to the cone axis, the strain being greater at the center of the cone than near the surface, and the nonuniformity to increase with distance of travel from the impact end. The surface-strain measurements were compared with the one-dimensional theory of longitudinal waves in cones developed by Landon and Quinney as solved by Kenner and Goldsmith for a onehalf cycle sine-squared input pulse, and found to be in qualitative agreement with this theory, but to vary significantly in strain magnitude due to the strain nonuniformity over plane cross sections. The nonuniformity was compared with the Pochhammer-Chree theory for stress waves in cylindrical bars when that theory was evaluated for a cross section equivalent to the cone cross section. The trends of the deviations were similar, but the variations measured in the cone were consistently greater than that predicted by the theory.     

The radar cross section of the semi-infinite elliptic cone

In order to determine the radar cross section of a semi-infinite elliptic cone first the solution of the pertinent canonical boundary value problem in sphero-conal coordinates is derived. For this purpose one has to solve a two-parameter eigenvalue problem with two coupled Lamé differential equations. The exact nose-on radar cross section of the semi-infinite elliptic cone has been evaluated for two orthogonal polarizations of the incident plane wave. In the degenerate case of a circular cone the known formula first deduced by Hansen and Schiff is obtained. The theoretical results also hold for the case of a plane angular sector which is another degenerate case of the elliptic cone.     

On the Plastic Wave Propagation Along the Specimen Length in SHPB Test

To observe the plastic wave propagation, an experimental setup is designed with a SHPB facility and a high speed digital camera. Two types of OFHC copper were selected as specimen materials: in the cold work condition and after total annealing, which represent non strain hardening and strain hardening material respectively. The rise time of incident impulse in the SHPB test is relevant to bar’s radius. A maximum allowable specimen length and a maximum allowable impact velocity (MAIV) of striker are proposed for the SHPB test. The propagation of plastic waves is observed along specimen length at the beginning of specimen’s plastic deformation in SHPB test. However, for both types of material, no plastic wave motion is caught along specimen length for large plastic strain level. Side confinement effect of friction is found to be significant, even with lubricant in the experiment.     

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.     

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.     

大直径SHPB弥散效应的二维数值分析

采用轴对称动态有限元HONDO程序对大直径SHPB装置中压杆横向泊松效应引起的应力波弥散进行二维数值分析,并从以下三个方面讨论波形弥散的影响：（1）SHPB装置中压杆直径和杆长对弥散结果（主要是升时）的影响;（2）压杆中的波形弥散对试件应力-应变曲线的影响;（3）弥散对试件应变率的影响。分析表明,在直径SHPB弥散效应对实验结果的影响很大,必须考虑。