Dynamic energy release rate and fracture heat in polymethylmethacrylate (PMMA) and a high-strength steel

Zimmermann, C.; Klemm, Walter; Schönert, K.

doi:10.1016/0013-7944(84)90086-9

Cited by 12 publications

(10 citation statements)

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“…These heat #ow measurements were then correlated with simultaneous velocity measurements in PMMA by Doll and Zimmerman et al [67,69] in glass by Weichert et al [68] and in steel by Zimmerman et al [69]. Results of these experiments showed that heating accounted for most of the elastic energy driving the crack.…”

Section: The Heat Dissipated By Fracturementioning

confidence: 99%

“…Assuming that the radiative losses are negligible over the period of measurement, the measured temperature variation with time at a single point can be "t to the solution of the heat conduction equation. Measurements of this sort were performed in Polymethylmethacrylate (PMMA) by Doll [67] in glass by Weichert [68] and in steel by Zimmerman et al [69]. The precision of these measurements varied between 6 and 20%.…”

Section: Measurements Of Heat Generation and The Temperature Rise Neamentioning

confidence: 99%

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Instability in dynamic fracture

et al. 1991

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Section: The Heat Dissipated By Fracturementioning

confidence: 99%

Section: Measurements Of Heat Generation and The Temperature Rise Neamentioning

confidence: 99%

Instability in dynamic fracture

et al. 1991

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“…Measurements of this sort were carried out in PMMA (Döll, 1973), in glass (Weichert and Schonert, 1974), and in steel (Zimmerman et al, 1984). The dissipated heat can be measured by two types of measurements.…”

Section: Measurement Of the Thermal Effectsmentioning

confidence: 99%

“…We already described in Sections 6.11.4 and 6.11.6 the technique for measuring the heat generated by a propagating crack in PMMA (Döll, 1973;Zimmerman et al 1984), in glass (Weichert and Schonert, 1974), and in steel (Zimmerman et al, 1984). These experiments indicate that heating accounts for most of the elastic energy that drives the fracture.…”

Section: The Dissipated Heatmentioning

confidence: 99%

Heterogeneous Materials

2003

Interdisciplinary Applied Mathematics

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Mechanics and Materials R.V. KohnSystems and Control S.S. Sastry, P.S. Krishnaprasad Problems in engineering, computational science, and the physical and biological sciences are using increasingly sophisticated mathematical techniques. Thus, the bridge between the mathematical sciences and other disciplines is heavily traveled. The correspondingly increased dialog between the disciplines has led to the establishment of the series: Interdisciplinary Applied Mathematics.The purpose of this series is to meet the current and future needs for the interaction between various science and technology areas on the one hand and mathematics on the other. This is done, firstly, by encouraging the ways that mathematics may be applied in traditional areas, and well as point towards new and innovative areas of applications; and, secondly, by encouraging other scientific disciplines to engage in a dialog with mathematicians outlining their problems to both access new methods and suggest innovative developments within mathematics itself.The series will consist of monographs and high-level texts from researchers working on the interplay between mathematics and other fields of science and technology.

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“…He also reported that as the molecular weight of the PMMA increased more heat was produced at a given crack velocity. Zimmermann et al [5] determined the dynamic energy release rate from the response of strain gauges placed close to the crack path in PMMA samples and concluded that all of the energy released appeared as heat. These observations on amorphous polymers suggest that the transition to brittle rapid crack propagation in tough semi crystalline polymers may be caused by breakdown of the reinforcing crystalline phase, due to the heat generated adiabatically within the process zone.…”

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Rapid crack propagation in tough polymers; A note on the crack tip temperature field

Wheel

Leevers

1993

Int J Fract

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The High Speed Double Torsion (HSDT) test has recently been used to determine the dynamic fracture resistance, Gt,, of tough pipe grade polyethylenes and other engineering thermoplastics [1]. These materials, which exhibit very high resistance to slow tearing, tend to become relatively brittle at high crack speeds. Fracture resistance is not normally measured directly, it is inferred from the crack driving force or energy release rate provided by the structure. However, extracting consistent Gt, data for non-linear elastic materials requires careful energy accounting when deriving the crack driving force [2]. The problems involved in this approach could be avoided if a method of measuring the energy consumed locally at the crack tip were available.Previous research on brittle polymers has shown that much of the energy consumed by the irreversible processes occuring close to the crack tip is converted to heat. Fuller et al. [3] reported that the heat generated in polymethylmethacrylate (PMMA) increased with crack speed in a similar manner to that in which GD was thought to vary. DUll [4] compared the amount of heat generated in PMMA to the dynamic energy release rate determined from the remotely applied stress. He concluded that approximately 60 percent of the energy released was converted to thermal energy. He also reported that as the molecular weight of the PMMA increased more heat was produced at a given crack velocity. Zimmermann et al. [5] determined the dynamic energy release rate from the response of strain gauges placed close to the crack path in PMMA samples and concluded that all of the energy released appeared as heat. These observations on amorphous polymers suggest that the transition to brittle rapid crack propagation in tough semi crystalline polymers may be caused by breakdown of the reinforcing crystalline phase, due to the heat generated adiabatically within the process zone. Direct measurements of heat generated near a fast running crack tip could therefore serve two objectives. Firstly, it could provide a direct, straightforward measurement of the intrinsic fracture resistance of the material, unaffected by any uncertainties about bulk elastic properties that affect the crack driving force. Secondly, it could provide an insight into the mechanism by which increasing crack speed adversely influences the separation process, and may suggest material development strategies to counteract this influence.

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Dynamic energy release rate and fracture heat in polymethylmethacrylate (PMMA) and a high-strength steel

Cited by 12 publications

References 2 publications

Instability in dynamic fracture

Instability in dynamic fracture

Heterogeneous Materials

Rapid crack propagation in tough polymers; A note on the crack tip temperature field

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