Does the capacitor analogy model in fracture mechanics of elastic dielectrics constitute an appropriate approximation?

Simple item page
dc.date.accessioned2024-10-31T09:31:13Z
dc.date.available2024-10-31T09:31:13Z
dc.date.issued2024-07-26
dc.description.sponsorshipGefördert im Rahmen eines Open-Access-Transformationsvertrags mit dem Verlagger
dc.identifierdoi:10.17170/kobra-2024103111043
dc.identifier.urihttp://hdl.handle.net/123456789/16131
dc.language.isoeng
dc.relation.doidoi:10.1177/10812865241252368
dc.rightsNamensnennung 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectdielectricseng
dc.subjectsemi-permeable crackeng
dc.subjectconformal mapeng
dc.subjectMaxwell stresseng
dc.subjectintensity factorseng
dc.subjectcrack curvatureeng
dc.subject.ddc600
dc.subject.swdDielektrikumger
dc.subject.swdBruchmechanikger
dc.subject.swdRissger
dc.subject.swdKonforme Abbildungger
dc.subject.swdMaxwellscher Spannungstensorger
dc.titleDoes the capacitor analogy model in fracture mechanics of elastic dielectrics constitute an appropriate approximation?eng
dc.typeAufsatz
dc.type.versionpublishedVersion
dcterms.abstractThe analytical solution of an elliptic dielectric cavity in an infinite dielectric plate is taken as basis to investigate a Griffith crack problem which is obtained by letting the semi-minor axis tend towards zero. In the course of this, an erroneous conformal mapping, commonly employed in literature and correctly reproducing the electric field only in a part of the physical space, is rectified. Interpreting the elliptic interface as faces of a mechanically opened crack which is exposed to an oblique remote electric field, surface charges and electrostatic tractions are calculated. In contrast to the established capacitor analogy model, approximately yielding electric charge densities and Coulombic tractions from displacements and electric potentials in the undeformed crack configuration, the work at hand provides exact solutions accounting for different implications of the crack curvature and for the inclination of the electric field. Crack weight functions are finally used to calculate stress and electric displacement intensity factors. As turns out, the surface charges of the capacitor analogy represent an excellent substitute for the exact electric boundary conditions within a relevant range of parameters, whereas inaccurate Coulombic tractions in the vicinity of crack tips may lead to a significantly overestimated mode I stress intensity factor.eng
dcterms.accessRightsopen access
dcterms.creatorBehlen, Lennart
dcterms.creatorWallenta, Daniel
dcterms.creatorRicoeur, Andreas
dcterms.source.identifiereissn:1741-3028
dcterms.source.issueIssue 11
dcterms.source.journalMathematics and Mechanics of Solidseng
dcterms.source.pageinfo2316-2347
dcterms.source.volumeVolume 29

Files

Original bundle

Now showing 1 - 2 of 2
Thumbnail Image
Name:
behlen_et_al_2024_does_the_capacitor_analogy_model_in_fracture_mechanics_of_elastic_dielectrics_constitute_an.pdf
Size:
16.3 MB
Format:
Adobe Portable Document Format
Description:
Download
No Thumbnail Available
Name:
behlen_et_al_2024_does_the_capacitor_analogy_model_in_fracture_mechanics_of_elastic_dielectrics_constitute_an.epub
Size:
2.47 MB
Format:
Unknown data format
Description:
EPUB
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
3.03 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Artikel