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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The Japan Society of Mechanical Engineers
2020
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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) |
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functionally graded piezoelectric material fracture mechanics elasticity normal crack stress intensity factor integral transform electric load Mechanical engineering and machinery TJ1-1570 |
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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 |
_version_ |
1718407596562448384 |