Application of J integral to breakdown analysis of a dielectric material

Beom, Hyeon Gyu; Kim, Y.H.

doi:10.1016/j.ijsolstr.2008.07.020

Cited by 16 publications

(12 citation statements)

References 15 publications

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“…Theoretical studies show that there are many similarities between dielectric breakdown and fracture (Beom and Kim 2008;Fu et al 2000;Garboczi 1988;Heyer et al 1998;Lynch et al 1995;McMeeking 1987;Suo 1993;Wang and Zhang 2001;Zhang et al 2002Zhang et al , 2003Zhang et al , 2004aZhang et al ,b, 2007. McMeeking (1987) calculated the mechanical stress intensity factor from Maxwell stresses and proposed that dielectric breakdown was caused by mechanical propagation of flaws.…”

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confidence: 99%

“…When Rice (1968) developed J -integral, he actually analyzed a notch, which implies that J -integral could be a good fracture concept to attack dielectric down. Recently, Beom and Kim (2008) examined properties of the J -integral for a conductive tubular channel embedded in a dielectric material and found that the J -integral could be interpreted as the energy release per unit length of the channel due to the channel growth. If only the propagation onset of a two-dimensional conductive crack is considered, two-dimensional analysis should be appropriate.…”

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confidence: 99%

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Fracture criterion for conductive cracks in soda-lime glass under combined mechanical and electrical loading

et al. 2010

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Fracture tests of electrically conductive cracks on pre-notched four-point bending soda-lime glass samples were conducted under combined mechanical and electrical loading. The experimental results show that the critical stress intensity factor at fracture is reduced if an electric field is applied, thereby indicating that the electric field makes contributions to the fracture of conductive cracks. Base on the charge-free zone (CFZ) model, the total local J -integral including the local mechanical and electrical J -integrals serves as a fracture criterion for conductive cracks in dielectric ceramics under combined mechanical and electrical loading. The experimental results confirm the fracture criterion deduced from the CFZ model.

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Fracture criterion for conductive cracks in soda-lime glass under combined mechanical and electrical loading

et al. 2010

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“…Beom and Kim (2008) discussed the application of J integral to breakdown analysis. (8.82) when e G !…”

Section: Modal Energy Density Factor (Medf) Theorymentioning

confidence: 99%

“…Beom and Kim (2008) adopted the ellipsoid coordinate to solve this problem (Stratton 1941). The breakdown is very complicated, here we only qualitatively discuss this problem from the view of the For a semi-infinite medium with a conductive hemispheroid defect of major semiaxis a and minor semiaxis c subjected to a remote uniform electric field E 0 parallel to x 1 -axis.…”

Section: Solutionsmentioning

confidence: 99%

Theory of Electroelasticity

Kuang¹

2014

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“…γ , the channel will be extended. Beom and Kim (2008) discussed the application of J integral to breakdown analysis. From Eq.…”

Section: Energy Criterionmentioning

confidence: 99%

Failure Theories of Piezoelectric Materials

Kuang

2013

Theory of Electroelasticity

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In this chapter failure experiments and theories in piezoelectric materials are discussed. In present time the precision of experiments should still be improved. The failure theory in solids is very complicated and there is no unified critical criterion. It is clear that the critical energy for different failure version is different. Especially the version of brittle tension failure is significantly different with other versions. In piezoelectric ceramics the failure energy density of an electric field is much higher than that in mechanical loading. In this chapter the generalized stress intensity factor criterions; total, mechanical, and local energy release rate criterions; strain energy density factor criterion; modal strain energy density factor theory; small-scale domain switching theory; failure criterion of conductive cracks with charge-free zone model are studied. Some simple electric breakdown theories of solid dielectrics are also discussed.Keywords Failure theories • Generalized stress intensity factor • Energy release rate • Modal strain energy • Charge-free zone model • Electric breakdown Experimental StudiesThe change of the microstructure, including plastic yielding, phase transformation, and failure theory, in solids is very complicated, and in present time there is no unified critical criterion to show these changes exactly. In general the change of the internal microstructure in the materials is caused by deformation, electromagnetic field and temperature. Experiments show that except the failure under tension, before failure the continuous deformation is revealed and then follows the change of the microstructure, so the failure and plastic yielding, etc. often posses the similar criterion. However, the failure of a brittle material under tension is less connected to the continuous deformation, so it should often be discussed in different theory. The experiments are necessary to get the practical failure criterions in engineering. Many experiments for failure have been carried out. Because the piezoelectric specimens are thin and small, manufacturing an ideal crack is very difficult. Usually the crack

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Application of J integral to breakdown analysis of a dielectric material

Cited by 16 publications

References 15 publications

Fracture criterion for conductive cracks in soda-lime glass under combined mechanical and electrical loading

Fracture criterion for conductive cracks in soda-lime glass under combined mechanical and electrical loading

Theory of Electroelasticity

Failure Theories of Piezoelectric Materials

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