Premium
Computational Homogenization of Piezoelectric Materials using FE 2
Author(s) -
Khalaquzzaman Md.,
Ricker Sarah,
Müller Ralf
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010201
Subject(s) - homogenization (climate) , piezoelectricity , microstructure , materials science , polarization (electrochemistry) , macroscopic scale , representative elementary volume , dielectric , mineralogy , composite material , physics , geology , chemistry , biodiversity , ecology , optoelectronics , quantum mechanics , biology
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 FE 2 ‐approach is discussed. We explicitly formulated 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. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)