Aufsatz
Electrostatic body forces in cracked dielectrics and their implication on Maxwell stress tensors
Abstract
In 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.
Sponsorship
Gefördert im Rahmen des Projekts DEALCitation
@article{doi:10.17170/kobra-2024080110621,
author={Schlosser, Alexander and Behlen, Lennart and Ricoeur, Andreas},
title={Electrostatic body forces in cracked dielectrics and their implication on Maxwell stress tensors},
journal={Continuum Mechanics and Thermodynamics},
year={2024}
}
0500 Oax
0501 Text $btxt$2rdacontent
0502 Computermedien $bc$2rdacarrier
1100 2024$n2024
1500 1/eng
2050 ##0##http://hdl.handle.net/123456789/15961
3000 Schlosser, Alexander
3010 Behlen, Lennart
3010 Ricoeur, Andreas
4000 Electrostatic body forces in cracked dielectrics and their implication on Maxwell stress tensors / Schlosser, Alexander
4030
4060 Online-Ressource
4085 ##0##=u http://nbn-resolving.de/http://hdl.handle.net/123456789/15961=x R
4204 \$dAufsatz
4170
5550 {{Elektromechanik}}
5550 {{Dielektrikum}}
5550 {{Bruchmechanik}}
5550 {{Maxwellscher Spannungstensor}}
5550 {{Rissspitze}}
5550 {{Anisotropie}}
7136 ##0##http://hdl.handle.net/123456789/15961
<resource xsi:schemaLocation="http://datacite.org/schema/kernel-2.2 http://schema.datacite.org/meta/kernel-2.2/metadata.xsd"> 2024-08-09T08:03:57Z 2024-08-09T08:03:57Z 2024-05-24 doi:10.17170/kobra-2024080110621 http://hdl.handle.net/123456789/15961 Gefördert im Rahmen des Projekts DEAL eng Namensnennung 4.0 International http://creativecommons.org/licenses/by/4.0/ electromechanics fracture of dielectrics Maxwell stress controversy crack tip singularity anisotropy 600 660 Electrostatic body forces in cracked dielectrics and their implication on Maxwell stress tensors Aufsatz In 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. open access Schlosser, Alexander Behlen, Lennart Ricoeur, Andreas doi:10.1007/s00161-024-01302-7 Elektromechanik Dielektrikum Bruchmechanik Maxwellscher Spannungstensor Rissspitze Anisotropie publishedVersion eissn:1432-0959 Issue 4 Continuum Mechanics and Thermodynamics 877-890 Volume 36 false </resource>
The following license files are associated with this item:
Except where otherwise noted, this item's license is described as Namensnennung 4.0 International