Thermoelectroelastic response of a piezoelectric cylinder with D∞ symmetry under axisymmetric mechanical and thermal loading

Carbon-neutral and biodegradable materials such as wood and poly-L-lactic acid play an important role in reducing environmental loads. Therefore, this study theoretically analyzed the thermoelectroelastic problem for a solid cylinder with D∞ symmetry subjected to a distributed torsional shear stress...

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Autores principales: Masayuki ISHIHARA, Yoshihiro OOTAO, Yoshitaka KAMEO, Takuro SAITO
Formato: article
Lenguaje:EN
Publicado: The Japan Society of Mechanical Engineers 2017
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spelling oai:doaj.org-article:631f4da4e51c4ff9825093bcc95b98db2021-11-26T07:11:27ZThermoelectroelastic response of a piezoelectric cylinder with D∞ symmetry under axisymmetric mechanical and thermal loading2187-974510.1299/mej.16-00609https://doaj.org/article/631f4da4e51c4ff9825093bcc95b98db2017-03-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/4/5/4_16-00609/_pdf/-char/enhttps://doaj.org/toc/2187-9745Carbon-neutral and biodegradable materials such as wood and poly-L-lactic acid play an important role in reducing environmental loads. Therefore, this study theoretically analyzed the thermoelectroelastic problem for a solid cylinder with D∞ symmetry subjected to a distributed torsional shear stress as a mechanical input and to a nonuniform temperature distribution as a thermal disturbance, in order to gain an elementary understanding of the thermal effects on the electroelastic field in cylindrical bodies with D∞ symmetry. The displacement components are expressed in terms of the elastic displacement potential function, the piezoelastic displacement potential function, and the thermoelastic displacement potential functions, and the electric field components are expressed in terms of the electric potential function. Subsequent to presenting the fundamental equations for thermoelectroelasticity, the governing equations for the above potential functions are derived based on the above fundamental equations. These governing equations are solved by a Fourier transform technique, and the theoretical solutions of the thermoelectroelastic field quantities are obtained. Furthermore, by performing numerical calculations, the distributions of the field quantities are illustrated graphically, and the structures of the thermoelectroelastic field are discussed qualitatively and quantitatively. Moreover, by quantitatively evaluating the ratio of the thermally disturbed electric displacement to the undisturbed electric displacement reflecting the mechanical input, the necessity of the thermoelectroelastic analyses, as treated in this paper, is clearly demonstrated.Masayuki ISHIHARAYoshihiro OOTAOYoshitaka KAMEOTakuro SAITOThe Japan Society of Mechanical Engineersarticlethermoelectroelasticityd∞ symmetrytheoretical analysiscylindrical bodywoodpoly-l-lactic acidMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 4, Iss 5, Pp 16-00609-16-00609 (2017)
institution DOAJ
collection DOAJ
language EN
topic thermoelectroelasticity
d∞ symmetry
theoretical analysis
cylindrical body
wood
poly-l-lactic acid
Mechanical engineering and machinery
TJ1-1570
spellingShingle thermoelectroelasticity
d∞ symmetry
theoretical analysis
cylindrical body
wood
poly-l-lactic acid
Mechanical engineering and machinery
TJ1-1570
Masayuki ISHIHARA
Yoshihiro OOTAO
Yoshitaka KAMEO
Takuro SAITO
Thermoelectroelastic response of a piezoelectric cylinder with D∞ symmetry under axisymmetric mechanical and thermal loading
description Carbon-neutral and biodegradable materials such as wood and poly-L-lactic acid play an important role in reducing environmental loads. Therefore, this study theoretically analyzed the thermoelectroelastic problem for a solid cylinder with D∞ symmetry subjected to a distributed torsional shear stress as a mechanical input and to a nonuniform temperature distribution as a thermal disturbance, in order to gain an elementary understanding of the thermal effects on the electroelastic field in cylindrical bodies with D∞ symmetry. The displacement components are expressed in terms of the elastic displacement potential function, the piezoelastic displacement potential function, and the thermoelastic displacement potential functions, and the electric field components are expressed in terms of the electric potential function. Subsequent to presenting the fundamental equations for thermoelectroelasticity, the governing equations for the above potential functions are derived based on the above fundamental equations. These governing equations are solved by a Fourier transform technique, and the theoretical solutions of the thermoelectroelastic field quantities are obtained. Furthermore, by performing numerical calculations, the distributions of the field quantities are illustrated graphically, and the structures of the thermoelectroelastic field are discussed qualitatively and quantitatively. Moreover, by quantitatively evaluating the ratio of the thermally disturbed electric displacement to the undisturbed electric displacement reflecting the mechanical input, the necessity of the thermoelectroelastic analyses, as treated in this paper, is clearly demonstrated.
format article
author Masayuki ISHIHARA
Yoshihiro OOTAO
Yoshitaka KAMEO
Takuro SAITO
author_facet Masayuki ISHIHARA
Yoshihiro OOTAO
Yoshitaka KAMEO
Takuro SAITO
author_sort Masayuki ISHIHARA
title Thermoelectroelastic response of a piezoelectric cylinder with D∞ symmetry under axisymmetric mechanical and thermal loading
title_short Thermoelectroelastic response of a piezoelectric cylinder with D∞ symmetry under axisymmetric mechanical and thermal loading
title_full Thermoelectroelastic response of a piezoelectric cylinder with D∞ symmetry under axisymmetric mechanical and thermal loading
title_fullStr Thermoelectroelastic response of a piezoelectric cylinder with D∞ symmetry under axisymmetric mechanical and thermal loading
title_full_unstemmed Thermoelectroelastic response of a piezoelectric cylinder with D∞ symmetry under axisymmetric mechanical and thermal loading
title_sort thermoelectroelastic response of a piezoelectric cylinder with d∞ symmetry under axisymmetric mechanical and thermal loading
publisher The Japan Society of Mechanical Engineers
publishDate 2017
url https://doaj.org/article/631f4da4e51c4ff9825093bcc95b98db
work_keys_str_mv AT masayukiishihara thermoelectroelasticresponseofapiezoelectriccylinderwithdsymmetryunderaxisymmetricmechanicalandthermalloading
AT yoshihiroootao thermoelectroelasticresponseofapiezoelectriccylinderwithdsymmetryunderaxisymmetricmechanicalandthermalloading
AT yoshitakakameo thermoelectroelasticresponseofapiezoelectriccylinderwithdsymmetryunderaxisymmetricmechanicalandthermalloading
AT takurosaito thermoelectroelasticresponseofapiezoelectriccylinderwithdsymmetryunderaxisymmetricmechanicalandthermalloading
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