Electrostatic body forces in cracked dielectrics and their implication on Maxwell stress tensors

dc.date.accessioned2024-08-09T08:03:57Z
dc.date.available2024-08-09T08:03:57Z
dc.date.issued2024-05-24
dc.description.sponsorshipGefördert im Rahmen des Projekts DEALger
dc.identifierdoi:10.17170/kobra-2024080110621
dc.identifier.urihttp://hdl.handle.net/123456789/15961
dc.language.isoeng
dc.relation.doidoi:10.1007/s00161-024-01302-7
dc.rightsNamensnennung 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectelectromechanicseng
dc.subjectfracture of dielectricseng
dc.subjectMaxwell stress controversyeng
dc.subjectcrack tip singularityeng
dc.subjectanisotropyeng
dc.subject.ddc600
dc.subject.ddc660
dc.subject.swdElektromechanikger
dc.subject.swdDielektrikumger
dc.subject.swdBruchmechanikger
dc.subject.swdMaxwellscher Spannungstensorger
dc.subject.swdRissspitzeger
dc.subject.swdAnisotropieger
dc.titleElectrostatic body forces in cracked dielectrics and their implication on Maxwell stress tensorseng
dc.typeAufsatz
dc.type.versionpublishedVersion
dcterms.abstractIn solid mechanics, Maxwell stresses are known to be induced if a body is exposed to magnetic and, in the case of dielectrics, electric fields. Acting as tractions at outer or inner surfaces as well as volume forces, they are superimposed with tractions and stresses due to mechanical loads and provide a more or less significant contribution, depending on loading, material properties and geometric aspects. The Maxwell stress tensor, constituting the physical and mathematical basis, however, is controversially discussed to date. Several formulations are known, most of them having been suggested more than 100 years ago. Being equivalent in vacuum, they differ qualitatively just as quantitatively in solid or fluidic matter. In particular, the dissimilar effect of body forces, emanating from a choice of established Maxwell stress tensor approaches, on crack tip loading in dielectric solids is investigated theoretically in this paper. Due to the singularity of fields involved, their impact is basically non-negligible compared to external mechanical loading. The findings obtained indicate that fracture mechanics could be the basis of an experimental validation of Maxwell stress tensors.eng
dcterms.accessRightsopen access
dcterms.creatorSchlosser, Alexander
dcterms.creatorBehlen, Lennart
dcterms.creatorRicoeur, Andreas
dcterms.source.identifiereissn:1432-0959
dcterms.source.issueIssue 4
dcterms.source.journalContinuum Mechanics and Thermodynamicseng
dcterms.source.pageinfo877-890
dcterms.source.volumeVolume 36
kup.iskupfalse

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