Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2001 · 76 citations · 18 references
Natural SciencesElectrical EngineeringMaterials ScienceOptimizationSolid MechanicsConvex AnalysisDielectric MaterialsDielectricsVariational FormulationVariational InequalitiesVariational PrinciplesComposite DielectricsConvex Variational ProblemsDielectric BreakdownElectrical BreakdownLower BoundsUpper BoundsVariational Inequality ProblemsVariational Methods In Partial Differential Equations
We study dielectric breakdown for composites made of two isotropic phases. We show that Sachs's bound is optimal. This simple example is used to illustrate a variational principle which departs from the traditional one. We also derive the usual variational principle by elementary means without appealing to the technology of convex duality.
18
Geoffrey Ingram Taylor · Medical Entomology and Zoology · 1938 · 1.8K citations
Natural Sciences, Materials Engineering, Materials Science +12