Dynamic Stress Intensity Factor of a Cracked Dielectric Medium in a Uniform Electric Field.

Shindo, Yasuhide; Katsura, Hirofumi

doi:10.1299/kikaia.58.1199

Cited by 2 publications

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“…As is known, the electric boundary condition (BC) largely affects the fracture behaviors of piezoelectric materials (Dunn, 1994; Rungamornrat et al, 2015; Shindo et al, 2009). According to the permeability of an electric field, there are three simplified BCs across a crack face in piezoelectric materials, that is, electrically impermeable (Deeg, 1980; Pak, 1990), permeable (Parton, 1976) and semi-permeable crack BCs (Hao and Shen, 1994; Shindo et al, 1996). The solutions based on these simplified crack BCs are quite different from that with exact crack BCs (Zhang et al, 1998; Zhao et al, 2018b) in piezoelectric materials.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear analysis of a crack in 2D piezoelectric semiconductors with exact electric boundary conditions

Zhao

et al. 2020

Journal of Intelligent Material Systems and Structures

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In this paper, taking the exact electric boundary conditions into account, we propose a double iteration method to analyze a crack problem in a two-dimensional piezoelectric semiconductor. The method consists of a nested loop process with internal and outside circulations. In the former, the electric field and electron density in governing equations are constantly modified with the fixed boundary conditions on crack face and the crack opening displacement; while in the latter, the boundary conditions on crack face and the crack opening displacement are modified. Such a method is verified by numerically analyzing a crack with an impermeable electric boundary condition. It is shown that the electric boundary condition on crack face largely affects the electric displacement intensity factor near a crack tip in piezoelectric semiconductors. Under exact crack boundary conditions, the variation tendency of the electric displacement intensity factor versus crack size is quite different from that under an impermeable boundary condition. Thus, exact crack boundary conditions should be adopted in analysis of crack problems in a piezoelectric semiconductor.

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Section: Introductionmentioning

confidence: 99%

Nonlinear analysis of a crack in 2D piezoelectric semiconductors with exact electric boundary conditions

Zhao

et al. 2020

Journal of Intelligent Material Systems and Structures

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“…Recently, the dynamic response of piezoelectric materials and the failure modes have attracted more and more attention from many researchers [1–4 ]. A finite crack in an infinite piezoelectric material under anti‐plane dynamic electromechanical impact was investigated with the well‐established integral transform methodology [1 ].…”

Section: Introductionmentioning

confidence: 99%

“…The dynamic response of a cracked dielectric medium in a uniform electric field was studied by Shindo et al . [4 ].…”

Section: Introductionmentioning

confidence: 99%

Transient Response of a Cracked Infinite Piezoelectric Strip Under Anti‐plane Impact

Chen

1998

Fatigue Fract Eng Mat Struct

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By using the well‐established integral transform methodology, the dynamic response of stress and electric displacement around a finite crack in an infinite piezoelectric strip are investigated under anti‐plane impact. The dynamic intensity factors of stress and electric displacement are obtained analytically. The results show that the dynamic electric field will promote or retard the propagation of the crack at different stages of the loading process. On the other hand, the response of the electric field is coherent with the applied electric load and independent of the external mechanical load. The result obtained for the anti‐plane impact of a cracked infinite piezoelectric ceramic can be regarded as a special case of the present work when the width of the strip tends to infinity.

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Dynamic Stress Intensity Factor of a Cracked Dielectric Medium in a Uniform Electric Field.

Cited by 2 publications

References 0 publications

Nonlinear analysis of a crack in 2D piezoelectric semiconductors with exact electric boundary conditions

Nonlinear analysis of a crack in 2D piezoelectric semiconductors with exact electric boundary conditions

Transient Response of a Cracked Infinite Piezoelectric Strip Under Anti‐plane Impact

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