Schneider, Gerold A.Gerold A.Schneider2021-10-012021-10-012012-09-13Journal of the Mechanics and Physics of Solids 61 (1): 78-90 (2013)http://hdl.handle.net/11420/10417An energy release rate based fracture model is presented, which is able to describe unstable dielectric breakdown of ceramic and polymer insulators. The electric field and electrostatic energy of an electrically conducting filament within a spheroidal surface electrode is calculated. As space charge injection is allowed the electric field singularity at the electrical conducting filament is reduced. As a consequence it is possible to solve the electrostatic problem even for filaments where the diameter is reduced to zero and the energy release rate can be formulated only as a function of the filament length. The presented energy release rate together with the formulation of a dielectric breakdown criterion allows understanding the experimentally measured one over square root sample thickness dependence and the pronounced scatter of the measured dielectric breakdown strength.en0022-5096Journal of the mechanics and physics of solids201217890Elsevier ScienceDielectric breakdownElectromechanical processes, energy release rateChemieTechnikIngenieurwissenschaftenA Griffith type energy release rate model for dielectric breakdown under space charge limited conductivityJournal Article10.1016/j.jmps.2012.09.005Journal Article