English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Lower bounds are obtained on the maximum field strength in one or both phasesin a body containing two-phases. These bounds only incorporate boundary datathat can be obtained from measurements at the surface of the body, and thus maybe useful for determining if breakdown has necessarily occurred in one of thephases, or that some other nonlinearities have occurred. It is assumed theresponse of the phases is linear up to the point of electric, dielectric, orelastic breakdown, or up to the point of the onset of nonlinearities. Thesebounds are calculated for conductivity, with one or two sets of boundaryconditions, for complex conductivity (as appropriate at fixed frequency whenthe wavelength is much larger than the body, i.e., for quasistatics), and fortwo-dimensional elasticity. Sometimes the bounds are optimal when the field isconstant in one of the phases, and using the algorithm of Kang, Kim, and Milton(2012) a wide variety of inclusion shapes having this property, forappropriately chosen bodies and appropriate boundary conditions, arenumerically constructed. Such inclusions are known as $E_\Omega$-inclusions.

Criteria for guaranteed breakdown in two-phase inhomogeneous bodies