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Computational Homogenization of Piezoelectric Materials using FE2 to determine Configurational Forces

Khalaquzzaman, M. and Xu, Bai-Xiang and Ricker, S. and Müller, R. (2013):
Computational Homogenization of Piezoelectric Materials using FE2 to determine Configurational Forces.
In: Proceedings of the 5th GAMM-Seminar on Multiscale Material Modelling June 30 - July 1, 2011 at TU Kaiserslautern, Germany, Kaiserslautern, In: Multiscale Material Modelling, Kaiserslautern, June 30 - July 1, 2011, In: Scientific Journal for Fundamentals and Applications of Engineering Mechanics, [Conference or Workshop Item]

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.

Item Type: Conference or Workshop Item
Erschienen: 2013
Creators: Khalaquzzaman, M. and Xu, Bai-Xiang and Ricker, S. and Müller, R.
Title: Computational Homogenization of Piezoelectric Materials using FE2 to determine Configurational Forces
Language: English
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.

Title of Book: Proceedings of the 5th GAMM-Seminar on Multiscale Material Modelling June 30 - July 1, 2011 at TU Kaiserslautern, Germany
Series Name: Scientific Journal for Fundamentals and Applications of Engineering Mechanics
Volume: 32
Place of Publication: Kaiserslautern
Divisions: Exzellenzinitiative
Zentrale Einrichtungen
Exzellenzinitiative > Graduate Schools > Graduate School of Computational Engineering (CE)
Exzellenzinitiative > Graduate Schools
Event Title: Multiscale Material Modelling
Event Location: Kaiserslautern
Event Dates: June 30 - July 1, 2011
Date Deposited: 18 Apr 2013 08:20
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