Investigation of the propagation and interaction of fast cracks in plexiglas

Eremenko, A. S.; Novikov, S. A.; Pogorelov, A. P.

doi:10.1007/bf00905603

Cited by 14 publications

(17 citation statements)

References 3 publications

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“…Much larger deviations of the crack path from a straight line can be observed during the growth of an array of interacting cracks. Comparatively to the case of roughness, this rather complex situation has been studied essentially theoretically [30,31,32,33,34,35,36] and very little experimentally [37,38,39] despite its practical importance especially for heterogeneous materials where multiple cracks are likely to form. Understanding the growth of interacting cracks is also a relevant issue for fault dynamics [40] as well as crack pattern formation during drying processes [41,42,43,44].…”

Section: Introductionmentioning

confidence: 99%

“…This occurs naturally because the principal stress along a crack lip is parallel to the crack direction so that a crack approaching the lip with a right angle is propagating mainly in mode I. On the other hand, when two collinear mode I cracks are growing towards each other, they do not merge tip to tip, but instead repel each other [37]. The origin of this effect has been discussed by several authors [30,32] and numerical simulations have been able to reproduce, at least qualitatively, experimental observations [34].…”

Section: Introductionmentioning

confidence: 99%

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Attractive and repulsive cracks in a heterogeneous material

et al. 2008

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Résumé. We study experimentally the paths of an assembly of cracks growing in interaction in a heterogeneous two-dimensional elastic brittle material submitted to uniaxial stress. For a given initial crack assembly geometry, we observe two types of crack path. The first one corresponds to a repulsion followed by an attraction on one end of the crack and a tip to tip attraction on the other end. The second one corresponds to a pure attraction. Only one of the crack path type is observed in a given sample. Thus, selection between the two types appears as a statistical collective process.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Attractive and repulsive cracks in a heterogeneous material

et al. 2008

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“…In hierarchical fracturing processes [13], it is usually observed that cracks coalesce around a 90°angle, as for example in dessication [14][15][16] or in fault dynamics [17][18][19][20]. It has also been shown that two collinear approaching cracks (submitted to a uniaxial stress in mode I) can repel each other instead of merging tip to tip [21], resulting in a curved, "hookshaped" path. Such cracks have been observed for a wide range of scales in nature, from 25 cm quartz-feldspar veins in granite to 25 km-long oceanic ridges [18], as well as in laboratory experiments on glass [22], Polymethylmethacrylate plates [21,23] or more recently in paper [24] and gelatin sheets [25].…”

mentioning

confidence: 99%

“…It has also been shown that two collinear approaching cracks (submitted to a uniaxial stress in mode I) can repel each other instead of merging tip to tip [21], resulting in a curved, "hookshaped" path. Such cracks have been observed for a wide range of scales in nature, from 25 cm quartz-feldspar veins in granite to 25 km-long oceanic ridges [18], as well as in laboratory experiments on glass [22], Polymethylmethacrylate plates [21,23] or more recently in paper [24] and gelatin sheets [25]. Theoretical studies have tried to explain this truly nonintuitive behavior.…”

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confidence: 99%

Repulsion and Attraction between a Pair of Cracks in a Plastic Sheet

et al. 2015

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“…The experiments were performed on an experimental setup including a loading mechanism, an explosive device, a recorder, and equipment for high-speed photographic recording. Loading was carried out using an explosive device similar to that described previously [18]. The small mass d Fig.…”

Section: P(t) = Ese(t)mentioning

confidence: 99%

Determination of fracture toughness and fracture energy of brittle materials under impact wedging

Eremenko¹,

Novikov²,

Синицын³

et al. 1996

J Appl Mech Tech Phys

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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...

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Investigation of the propagation and interaction of fast cracks in plexiglas

Cited by 14 publications

References 3 publications

Attractive and repulsive cracks in a heterogeneous material

Attractive and repulsive cracks in a heterogeneous material

Repulsion and Attraction between a Pair of Cracks in a Plastic Sheet

Determination of fracture toughness and fracture energy of brittle materials under impact wedging

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