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Computational Homogenization of Piezoelectric Materials using FE2 to determine Configurational Forces

Khalaquzzaman, M. ; Xu, Bai-Xiang ; Ricker, S. ; Müller, R. (2013)
Computational Homogenization of Piezoelectric Materials using FE2 to determine Configurational Forces.
Multiscale Material Modelling. Kaiserslautern (June 30 - July 1, 2011)
Konferenzveröffentlichung, Bibliographie

Kurzbeschreibung (Abstract)

Due to the growing interest in determining the macroscopic material response of inhomogeneous materials, computational methods are becoming increasingly concerned with the application of homogenization techniques. In this work, two-scale classical (first-order) homogenization of electro-mechanically coupled problems using a FE2-approach is discussed. We explicitly formulate the homogenized coefficients of the elastic, piezoelectric and dielectric tensors for small strain as well as the homogenized remanent strain and remanent polarization. The homogenization of the coupled problem is done using different representative volume elements (RVEs), which capture the microstructure of the inhomogeneous material, to represent the macro material response. Later this technique is used to determine the macroscopic and microscopic configurational forces on certain defects.

Typ des Eintrags: Konferenzveröffentlichung
Erschienen: 2013
Autor(en): Khalaquzzaman, M. ; Xu, Bai-Xiang ; Ricker, S. ; Müller, R.
Art des Eintrags: Bibliographie
Titel: Computational Homogenization of Piezoelectric Materials using FE2 to determine Configurational Forces
Sprache: Englisch
Publikationsjahr: 18 April 2013
Ort: Kaiserslautern
Buchtitel: Proceedings of the 5th GAMM-Seminar on Multiscale Material Modelling June 30 - July 1, 2011 at TU Kaiserslautern, Germany
Reihe: Scientific Journal for Fundamentals and Applications of Engineering Mechanics
Band einer Reihe: 32
Veranstaltungstitel: Multiscale Material Modelling
Veranstaltungsort: Kaiserslautern
Veranstaltungsdatum: June 30 - July 1, 2011
Kurzbeschreibung (Abstract):

Due to the growing interest in determining the macroscopic material response of inhomogeneous materials, computational methods are becoming increasingly concerned with the application of homogenization techniques. In this work, two-scale classical (first-order) homogenization of electro-mechanically coupled problems using a FE2-approach is discussed. We explicitly formulate the homogenized coefficients of the elastic, piezoelectric and dielectric tensors for small strain as well as the homogenized remanent strain and remanent polarization. The homogenization of the coupled problem is done using different representative volume elements (RVEs), which capture the microstructure of the inhomogeneous material, to represent the macro material response. Later this technique is used to determine the macroscopic and microscopic configurational forces on certain defects.

Fachbereich(e)/-gebiet(e): Exzellenzinitiative
Exzellenzinitiative > Graduiertenschulen
Exzellenzinitiative > Graduiertenschulen > Graduate School of Computational Engineering (CE)
Zentrale Einrichtungen
Hinterlegungsdatum: 18 Apr 2013 08:20
Letzte Änderung: 26 Jan 2024 09:21
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