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Electrostatic Body Forces and their Implications for Cracks

Ricoeur, Andreas
Schlosser, Alexander

A Griffith-type crack in a dielectric solid under electromechanical loading is investigated by numerically solving the combined boundary value problem. The focus is on the contribution of electrostatically induced body forces, coming along with the still controversially discussed Maxwell stress tensor, to the crack tip loading. A 1/r-singularity of compressive stress is found to evolve at the crack tip, however, just being dominant over the mechanically induced 1/√r-behavior within a very small region

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Citation
In: Proceedings in applied mathematics and mechanics (PAMM) Volume 22 / Issue 1 (2023-03-24) , S. ; eissn:1617-7061
Collections
@article{doi:10.17170/kobra-202305057952,
  author    ={Ricoeur, Andreas and Schlosser, Alexander},
  title    ={Electrostatic Body Forces and their Implications for Cracks},
  keywords ={620 and Ferroelektrikum and Rissspitze and Elektromechanische Eigenschaft and Piezoelektrischer Stoff and Dielektrikum},
  copyright  ={http://creativecommons.org/licenses/by/4.0/},
  language ={en},
  journal  ={Proceedings in applied mathematics and mechanics (PAMM)},
  year   ={2023-03-24}
}