Gurtin-type region-wise variational principles for thermopiezoelectric elastodynamics
type: Item
instance of: scholarly article
title: Gurtin-type region-wise variational principles for thermopiezoelectric elastodynamics
zbMATH Open document ID: 1100.74018
DOI: 10.1007/BF02435870
author: Bo Huang
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2004-11-29T00:00:00Z
review text: This paper is addressed to formulate a generalised nine-field variational principle for fundamental equations of a regular region of thermopiezoelectric materials in the elastic range by using the method of convolution. The region consists of many dissimilar materials perfectly bonded together at their interfaces. The novelty of the paper is to incorporate directly the continuity conditions at the interfaces into the variational principle. Also, a six-field variational principle is given, as a special case, for the linear fundamental equations of piezoelectric region. The nonlinearity in the fundamental equations and the effect of second sound in the equation of heat conduction are excluded.
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74G65
zbMATH DE Number: 2119906
zbMATH Keywords: method of convolution
zbMATH Keywords: continuity conditions
reviewed by: M. Cengiz Dökmeci
MaRDI profile type: Publication
cites work: Q5727335
cites work: Variational principles for linear elastodynamics
cites work: A generalized linear thermoelasticity theory for piezoelectric media
cites work: Some basic principles for linear coupled dynamic thermopiezoelectricity
full work available at URL: https://doi.org/10.1007/bf02435870
OpenAlex ID: W92691421
description: scientific article; zbMATH DE number 2119906