A Griffith type energy release rate model for dielectric breakdown under space charge limited conductivity

Schneider, Gerold A.

doi:10.1016/j.jmps.2012.09.005

Cited by 46 publications

(32 citation statements)

References 28 publications

(32 reference statements)

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“…In the breakdown model of Schneider [49] it is assumed that tiny filaments are statistically distributed at the surface of the sample with area A. In order to describe the failure probability for breakdown the same approach can be used as in the mechanical case but for surface defects [20,40].…”

Section: Resultsmentioning

confidence: 99%

“…The theoretical breakdown model developed by Schneider [49] seems to be more appropriate to explain the thickness-dependence and the scatter of the breakdown strength values. In the model it is assumed that out of a surface distribution of tiny, electrically conducting filaments the longest will start to grow, when the breakdown strength is reached.…”

Section: Discussionmentioning

confidence: 99%

“…In the model it is assumed that out of a surface distribution of tiny, electrically conducting filaments the longest will start to grow, when the breakdown strength is reached. An expression for the breakdown strength [49] is given as Talbi et al [50] evaluated space charge limited conduction (SCLC) as dominating conduction mechanism at electric breakdown in alumina. For polymers it already has been shown that the breakdown process is associated with space charge injection, the role of the space charges is still under discussion [51].…”

Section: Discussionmentioning

confidence: 99%

“…The failure probability for breakdown based on the breakdown model [49] is area dependent as shown in the appendix (equ. A6).…”

Section: Discussionmentioning

confidence: 99%

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Thickness-dependence of the breakdown strength: Analysis of the dielectric and mechanical failure

Neusel

Jelitto

Schmidt

et al. 2015

Journal of the European Ceramic Society

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The breakdown strength as well as the mechanical strength of ceramic materials decreases with increasing volume. The volume-effect of the mechanical strength can be explained by the Weibull theory. For the breakdown strength the same explanation has been often assumed.In order to validate this assumption breakdown strength and mechanical strength of alumina samples with defined porosities were compared. Differences in the Weibull moduli of breakdown and mechanical strength distributions indicate that the volume-effect cannot explain the thickness-dependence of the breakdown strength. In particular, the thicknessdependence of the breakdown strength always leads to a Weibull modulus of two which is not 2 in agreement with the measured Weibull moduli for samples with constant thickness. It can be concluded that the thickness-dependence of the breakdown strength cannot be explained by the Weibull concept. A recently developed breakdown model which is based on space charge injection is able to explain the experimental results.

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Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

“…The failure probability for breakdown based on the breakdown model [49] is area dependent as shown in the appendix (equ. A6).…”

Section: Discussionmentioning

confidence: 99%

See 2 more Smart Citations

Thickness-dependence of the breakdown strength: Analysis of the dielectric and mechanical failure

Neusel

Jelitto

Schmidt

et al. 2015

Journal of the European Ceramic Society

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“…Alternatively the results of dominating SCLC mechanism, thickness and permittivity dependence of the breakdown strength will be explained by the theoretical Griffith type energy release rate model for tubular channels [1,3].…”

Section: Introductionmentioning

confidence: 99%

Dependence of the breakdown strength on thickness and permittivity

Neusel

Schneider

2013

2013 IEEE International Conference on Solid Dielectrics (ICSD)

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The dielectric breakdown strengths of Al 2 O 3 and BaTiO 3 ceramics have been investigated in terms of thickness and permittivity dependence. From the obtained results, it is possible to define a thickness dependent breakdown strength regime. For bulk samples it will be shown, that the breakdown strength is inversely proportional to the permittivity. Furthermore space charge limited conduction (SCLC) can be identified as dominating conduction mechanism in Al 2 O 3 and BaTiO 3 ceramics. Based on the experimental findings a recently developed Griffith type energy release rate model for tubular channels can be applied [1].

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Phase‐Field Modeling of Electromechanical Breakdown in Multilayer Ceramic Capacitors

Cai

Wang

2018

Advcd Theory and Sims

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Multilayer ceramic capacitors (MLCCs) are drawing increasing attention in the application of energy storage devices due to their high volumetric capacitance and improved energy density. However, electromechanical breakdown always occurs, especially under high operation voltage, which limits their application in high‐voltage circuit. In this work, a phase‐field electromechanical breakdown model is developed to give a fundamental understanding on the coupled electromechanical effect on the dielectric breakdown of MLCCs. The thickness‐dependent dielectric breakdown strength is well simulated through this phase‐field model. It is found that the dielectric breakdown strength and the patterns of final breakdown path is significantly influenced by the defect concentration and applied stress. An enhanced breakdown strength of MLCC is proved under either compressive or shear stress state. The model not only provides a mechanistic understanding toward the electromechanical breakdown in MLCCs, but also applies to all kinds of dielectrics and serves as guidance toward the design of high‐voltage dielectrics.

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A Griffith type energy release rate model for dielectric breakdown under space charge limited conductivity

Cited by 46 publications

References 28 publications

Thickness-dependence of the breakdown strength: Analysis of the dielectric and mechanical failure

Thickness-dependence of the breakdown strength: Analysis of the dielectric and mechanical failure

Dependence of the breakdown strength on thickness and permittivity

Phase‐Field Modeling of Electromechanical Breakdown in Multilayer Ceramic Capacitors

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