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A crack on the interface of piezo-electric bodies
Zusammenfassung
Singularities of elastic and electric fields are investigated at the tip of a crack on the interface of two anisotropic piezo-electric media under various boundary conditions on the crack surfaces. The Griffith formulae are obtained for increments of energy functionals due to growth of the crack and the notion of the energy release matrix is introduced. Normalization conditions for bases of singular solution are proposed to adapt them to the energy, stress, and deformation fracture criteria. Connections between these bases are determined and additional properties of the deformation basis related to the notion of electric surface enthalpy are established.
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@article{urn:nbn:de:hebis:34-200604069096,
author={Kulikov, A. A. and Nazarov, Serguei A. and Specovius-Neugebauer, Maria},
title={A crack on the interface of piezo-electric bodies},
year={2005}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2005$n2005 1500 1/eng 2050 ##0##urn:nbn:de:hebis:34-200604069096 3000 Kulikov, A. A. 3010 Nazarov, Serguei A. 3010 Specovius-Neugebauer, Maria 4000 A crack on the interface of piezo-electric bodies / Kulikov, A. A. 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/urn:nbn:de:hebis:34-200604069096=x R 4204 \$dPreprint 4170 Mathematische Schriften Kassel 7136 ##0##urn:nbn:de:hebis:34-200604069096
2006-04-06T10:51:39Z 2006-04-06T10:51:39Z 2005 urn:nbn:de:hebis:34-200604069096 http://hdl.handle.net/123456789/200604069096 269325 bytes application/pdf eng Universität Kassel, FB 17, Mathematik/Informatik Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ Singularität <Mathematik> 510 A crack on the interface of piezo-electric bodies Preprint Singularities of elastic and electric fields are investigated at the tip of a crack on the interface of two anisotropic piezo-electric media under various boundary conditions on the crack surfaces. The Griffith formulae are obtained for increments of energy functionals due to growth of the crack and the notion of the energy release matrix is introduced. Normalization conditions for bases of singular solution are proposed to adapt them to the energy, stress, and deformation fracture criteria. Connections between these bases are determined and additional properties of the deformation basis related to the notion of electric surface enthalpy are established. open access Kulikov, A. A. Nazarov, Serguei A. Specovius-Neugebauer, Maria Mathematische Schriften Kassel 05, 10 Mathematische Schriften Kassel 05, 10
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