Abstract. This paper is devoted to the technique for study of localized shear using hatshaped samples by the split Hopkinson pressure bar (SHPB) method. Also it is devoted to results obtained in tests with samples of copper M1 and steel 09G2S. The tests were performed using hat-shaped samples with beforehand-determined direction of forced shear. Sizes of samples were thoroughly selected in order to minimize plastic deformation of the hat-shaped part and the ring base, which are in contact with the bar ends. Results of testing of copper M1 and steel 09G2S were obtained; "shear stress-displacement" diagrams were plotted. Values of amplitudes and durations of loading pulses were determined. Also shear stresses were determined when adiabatic localized shear was formed in case of this geometry of samples.
539.375 1. Test Procedure. Modern fracture mechanics is characterized by an advanced mathematical apparatus and a high level of experimental facilities [1]. The available theoretical and experimental methods allow one to determine criterion parameters for various types of loading. Standard methods of determination of fracture toughness Klc in statics, Kid in dynamics, and the dynamic stress intensity factor (SIF) in crack growth KD or arrest Kla have been developed [2, 3].In high-speed loading for a characteristic loading time of (1-5) 9 10 -3 sec and smaller using standard loading schemes, difficulties arise which are due to dynamic effects.We used stress-wave loading of a specimeu by the Hopkinson split bar (HSB) method to determine the fracture toughness and fracture energy of brittle materials under high-speed loading.Hopkinson proposed to determine stresses in a shock-wave pulse propagating in a bar under explosive loading from the rebound velocity of a measuring bar which is butt-joined with a loading bar [4]. The fracture stresses of brittle materials under tension are considerably lower than those under compression, and a spall forms in bars under intense pulse loading. Khanukaev [5] determined critical spalling stresses in rocks (granite, marble, etc.) from the velocity of the part spalled from the bar, using the Hopkinson method.Ivanov [6] reported determination of fracture energy in spalling experiments using the integral energy criterion. Kol'skii improved the Hopkinson method. He proposed to measure the wave velocities of transmitted pulses and to compute stresses and strains in a specimen placed between two bars using measured parameters of incident, reflected, and transmitted pulses [7]. Later, the HSB method led to many applications in various types of uniaxial dynamic loading experiments, including determination of fracture toughness.Novikov [8] reported experiments on determination of the dynamic fracture toughness of hard alloys loaded by the HSB method. Specimens in the form of disks (tablets) with a through central cut loaded in the diametric direction were tested.An original procedure for determining the fracture toughness of steels and alloys was proposed by Kostin et al. [9]. A bar having a ringed cut with a sharp (fatigue) crack in the base of the cut is subjected to shock-wave loading. As a specimen, the part of the bar neighboring the cut is studied. According to the HSB method, the stresses and forces P in the section of the crack and also the strains 6 due to its opening are determined and a quasi-static P -6 diagram is constructed and analyzed by the standard method. The dynamic fracture toughness Kid and the fracture energy Gc are determined from the P -~ diagram. In the case of plastic materials, the calculation is performed using the J-integral.The growth rate of SIF iswhere r, is the characteristic time of increase in load from zero to a load that corresponds to a critical state. The attainable loading rate for steels is of the order of 10 6 (MPa 9 m 1/2) sec -1. This is app...
Abstract. This paper is devoted to results of investigation of localized shear in as-received copper, and which was subjected to preliminary quasi-isentropic shock loading by the pressure of ∼ 30 GPa. Tests were performed with hat-shaped samples by the Split Hopkinson Pressure Bar method (SHPB). The authors present estimation of quantitative characteristics of localized shear in tested materials (shear stress, relative shear strain, shear band width, relative strain rate in shear band). The paper includes data of metallographic investigations of the tested samples. Also the authors made an attempt of numerical simulation of stress field change during formation.
Abstract. This paper is devoted to the technique for study of localized shear using hatshaped samples by the split Hopkinson pressure bar (SHPB) method. Also it is devoted to results obtained in tests with samples of copper M1 and steel 09G2S. The tests were performed using hat-shaped samples with beforehand-determined direction of forced shear. Sizes of samples were thoroughly selected in order to minimize plastic deformation of the hat-shaped part and the ring base, which are in contact with the bar ends. Results of testing of copper M1 and steel 09G2S were obtained; "shear stress-displacement" diagrams were plotted. Values of amplitudes and durations of loading pulses were determined. Also shear stresses were determined when adiabatic localized shear was formed in case of this geometry of samples.
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