The effective electroelastic moduli of textured piezoelectric polycrystalline aggregates
type: Item
instance of: scholarly article
title: The effective electroelastic moduli of textured piezoelectric polycrystalline aggregates
zbMATH Open document ID: 0998.74065
DOI: 10.1016/S0022-5096(99)00042-3
author: Jiangyu Li
published in: Journal of the Mechanics and Physics of Solids
publication date: 2002-11-17T00:00:00Z
review text: The self-consistent approach and traditional Voigt-Reuss estimation are generalized to model the effective electroelastic moduli of piezoelectric polycrystals with texture within the frame of linear theory of piezoelectric materials. The orientational averaging scheme is developed by the use of orientation distribution function of grains in polycrystals. The distribution function which is taken to be the Gaussian distribution function and the piezoelectric material constants are represented by a series of generalized associated Legendre functions. The numerical results are reported for piezoelectric polycrystals with texture and with perfect aligned grains, and for isotropic piezoelectric polycrystals. The results are discussed and compared with those obtained by using traditional Voigt and Reuss estimations. Some effects of thermal and dynamic nature are excluded.
Mathematics Subject Classification ID: 74Q15
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 1487043
zbMATH Keywords: effective electroelastic moduli
zbMATH Keywords: piezoelectric polycrystals
zbMATH Keywords: polycrystalline ceramics
zbMATH Keywords: texture
zbMATH Keywords: orientational averaging scheme
zbMATH Keywords: orientation distribution function
zbMATH Keywords: Gaussian distribution function
zbMATH Keywords: generalized associated Legendre functions
zbMATH Keywords: linear piezoelasticity
zbMATH Keywords: generalized Voigt-Reuss estimation
reviewed by: M. Cengiz Dökmeci
MaRDI profile type: Publication
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full work available at URL: s0022-5096(99)00042-3
OpenAlex ID: W2111793800
description: scientific article; zbMATH DE number 1487043