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Mathematical modeling of electro‐elastic dislocations in piezoelectric materials

Agiasofitou, Eleni; Lazar, Markus

Abstract:

In this work, based on the theory of linear incompatible piezoelectricity with eigendistortion and eigenelectric field, the concept of electro-elastic dislocations is presented. Both field variables, the displacement vector u and the electrostatic potential φ, possess a jump discontinuity at the dislocation surface. Electro-elastic dislocations are described not only by the dislocation density tensor but also by a new introduced field, the so-called electric dislocation density vector. In addition to electro-elastic dislocations, inhomogeneities, body forces and body charges are also considered. Within this framework, material balance laws that correspond to the symmetries of translation, scaling and rotation are derived. All fundamental fields of configurational mechanics like the Eshelby stress tensor, the electro-elastic Peach-Koehler force, the Cherepanov force, the Eshelby force among others, which take place in the broken (translational, scaling and rotational) conservation laws anymore are given.


Verlagsausgabe §
DOI: 10.5445/IR/1000157296
Veröffentlicht am 27.03.2023
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Technische Mechanik (ITM)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 03.2023
Sprache Englisch
Identifikator ISSN: 1617-7061
KITopen-ID: 1000157296
Erschienen in PAMM
Verlag Wiley-VCH Verlag
Band 22
Heft 1
Seiten e202200167
Bemerkung zur Veröffentlichung Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
Vorab online veröffentlicht am 24.03.2023
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