Stress intensity factor of a crack normal to the interface between a homogeneous and a functionally graded piezoelectric layers under an electric load

In this paper, the fracture problem of a functionally graded piezoelectric material strip (FGPM strip) containing a crack perpendicular to the interface between the FGPM strip and a homogeneous layer under an electric load is considered. Material properties are assumed to be exponentially dependent...

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Autores principales: Sei UEDA, Yuuta YAMABATA
Formato: article
Lenguaje:EN
Publicado: The Japan Society of Mechanical Engineers 2020
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Acceso en línea:https://doaj.org/article/82025beac08b492d91af63f4f780971d
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spelling oai:doaj.org-article:82025beac08b492d91af63f4f780971d2021-11-29T06:01:25ZStress intensity factor of a crack normal to the interface between a homogeneous and a functionally graded piezoelectric layers under an electric load2187-974510.1299/mej.20-00325https://doaj.org/article/82025beac08b492d91af63f4f780971d2020-09-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/7/5/7_20-00325/_pdf/-char/enhttps://doaj.org/toc/2187-9745In this paper, the fracture problem of a functionally graded piezoelectric material strip (FGPM strip) containing a crack perpendicular to the interface between the FGPM strip and a homogeneous layer under an electric load is considered. Material properties are assumed to be exponentially dependent on the distance from the interface. The superposition technique is used to solve the governing equations. The stresses induced by the electric load in the un-cracked laminate are calculated, and the obtained normal stress is used as the crack surface tractions with opposite sign to formulate the mixed boundary value problem. By using the Fourier transforms, the electro-mechanical fracture problem is reduced to a singular integral equation, which is solved numerically. The stress intensity factors of the internal crack and the edge crack are computed and presented for the various values of the nonhomogeneous and geometric parameters.Sei UEDAYuuta YAMABATAThe Japan Society of Mechanical Engineersarticlefunctionally graded piezoelectric materialfracture mechanicselasticitynormal crackstress intensity factorintegral transformelectric loadMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 7, Iss 5, Pp 20-00325-20-00325 (2020)
institution DOAJ
collection DOAJ
language EN
topic functionally graded piezoelectric material
fracture mechanics
elasticity
normal crack
stress intensity factor
integral transform
electric load
Mechanical engineering and machinery
TJ1-1570
spellingShingle functionally graded piezoelectric material
fracture mechanics
elasticity
normal crack
stress intensity factor
integral transform
electric load
Mechanical engineering and machinery
TJ1-1570
Sei UEDA
Yuuta YAMABATA
Stress intensity factor of a crack normal to the interface between a homogeneous and a functionally graded piezoelectric layers under an electric load
description In this paper, the fracture problem of a functionally graded piezoelectric material strip (FGPM strip) containing a crack perpendicular to the interface between the FGPM strip and a homogeneous layer under an electric load is considered. Material properties are assumed to be exponentially dependent on the distance from the interface. The superposition technique is used to solve the governing equations. The stresses induced by the electric load in the un-cracked laminate are calculated, and the obtained normal stress is used as the crack surface tractions with opposite sign to formulate the mixed boundary value problem. By using the Fourier transforms, the electro-mechanical fracture problem is reduced to a singular integral equation, which is solved numerically. The stress intensity factors of the internal crack and the edge crack are computed and presented for the various values of the nonhomogeneous and geometric parameters.
format article
author Sei UEDA
Yuuta YAMABATA
author_facet Sei UEDA
Yuuta YAMABATA
author_sort Sei UEDA
title Stress intensity factor of a crack normal to the interface between a homogeneous and a functionally graded piezoelectric layers under an electric load
title_short Stress intensity factor of a crack normal to the interface between a homogeneous and a functionally graded piezoelectric layers under an electric load
title_full Stress intensity factor of a crack normal to the interface between a homogeneous and a functionally graded piezoelectric layers under an electric load
title_fullStr Stress intensity factor of a crack normal to the interface between a homogeneous and a functionally graded piezoelectric layers under an electric load
title_full_unstemmed Stress intensity factor of a crack normal to the interface between a homogeneous and a functionally graded piezoelectric layers under an electric load
title_sort stress intensity factor of a crack normal to the interface between a homogeneous and a functionally graded piezoelectric layers under an electric load
publisher The Japan Society of Mechanical Engineers
publishDate 2020
url https://doaj.org/article/82025beac08b492d91af63f4f780971d
work_keys_str_mv AT seiueda stressintensityfactorofacracknormaltotheinterfacebetweenahomogeneousandafunctionallygradedpiezoelectriclayersunderanelectricload
AT yuutayamabata stressintensityfactorofacracknormaltotheinterfacebetweenahomogeneousandafunctionallygradedpiezoelectriclayersunderanelectricload
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