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Abstract
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The electro-thermo-mechanical breakdown of dielectric solids is modeled using
peridynamics to describe the brittle fracture of a material under high electric fields. A
coupled electrostatic, elastodynamic, thermodynamic model is used wherein electrostatic
forces are computed and applied to the mechanical model and temperature effects are
included. Fracture is simulated using peridynamics, a reformulation of elasticity that
incorporates material failure. Coupling occurs between the electrostatic and mechanical
forces and also the electrical material properties: specifically, the Lorentz and Kelvin
forces are used to couple the electrostatic fields to the stress fields, conductivity
is treated as nonlinear and a function of temperature, and mechanical damage is used
to alter the permittivity. Results demonstrate that the method is capable of reproducing
branching breakdown patterns seen in experiments using a deterministic method.
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Keywords
dielectric breakdown, peridynamics, electromechanical,
multiphysics
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Milestones
Received: 15 April 2015
Revised: 29 September 2015
Accepted: 19 October 2015
Published: 10 December 2015
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