Impermeable Crack and Permeable Crack Assumptions, Which One is More Realistic?

Wang, Baolin; Mai, Yiu‐Wing

doi:10.1115/1.1748294

Cited by 114 publications

(56 citation statements)

References 17 publications

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“…The impermeable crack and permeable crack models have been used in previous studies on the crack problems. Recently, Wang and Mai [13] showed that the electrically impermeable boundary is a reasonable one for engineering problems. Thus, we use the impermeable crack surface condition in this paper.…”

Section: Asymptotic Problemmentioning

confidence: 99%

Stress intensity factors for an interface crack with impermeable surfaces between dissimilar electrostrictive materials

Kim

Beom

2009

Arch Appl Mech

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The asymptotic problem of a semi-infinite interface crack between dissimilar electrostrictive materials that are subjected to electric loading is numerically analyzed by using the finite element method. Numerical results of electric displacement fields are obtained on the basis of the mathematical equivalence of the mode III problem and an electrostatic problem. The shape and the size of saturation zones are explored as a function of the ratio of the saturated electric displacements of dissimilar electrostrictive materials. In contrast with conventional wisdom, the ratio of the permittivities is shown to exert a negligibly small influence on electric displacement fields. For various combinations of the material properties of dissimilar electrostrictive materials, stress fields and stress intensity factors are systemically calculated by using the numerical results of electric displacement fields. The effects of the electric, elastic, and electrostrictive properties on stress intensity factors are demonstrated.

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Section: Asymptotic Problemmentioning

confidence: 99%

Stress intensity factors for an interface crack with impermeable surfaces between dissimilar electrostrictive materials

Kim

Beom

2009

Arch Appl Mech

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“…Some researchers [8] believe that anti-plane cracks are electrically permeable, because crack surfaces are in contact when loaded by anti-plane static shear. However, some other researchers [9] argue that both in-plane and anti-plane cracks are Fig. 1 An interface crack in a graded piezoelectric structure with finite dimension electrically impermeable, because a flaw in engineering materials is always a notch of finite thickness rather than a slit crack.…”

Section: Introductionmentioning

confidence: 97%

Interfacial fracture analysis of a graded piezoelectric layer on a substrate with finite dimension

Lee

2009

Arch Appl Mech

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In fracture analysis of piezoelectric devices, the structural dimension is often assumed to be infinite at least in one direction. However, all practical piezoelectric structures are finite and their dimensions in different directions are often comparable and cannot be simplified as infinite. The assumption of infinite dimension may lead to inexact theoretical results. The present work aims at studying the interfacial fracture behavior of a functionally graded piezoelectric layer on a dielectric substrate with finite dimension. The crack problem is solved by the methods of Fourier series and Cauchy singular integral equation. Parametric studies on the stress intensity factor (SIF) reveal the following: (a) when a crack tip is near to an interface end, its SIF is mainly governed by the end effect; (b) when a crack is far from the interface ends and the piezoelectric layer is thin, its SIF is principally affected by the thickness of the piezoelectric layer, and (c) only when a crack is far from the interface ends and meanwhile the piezoelectric layer is thick will its SIF be dominated by the non-homogeneity parameter, and in this case, the SIF increases with the increasing non-homogeneity parameter.

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“…They presented the solutions in the series form of the displacement function and the electric potential function. For the assumption of the electric boundary condition, Wang and Mai [14] derived the solutions of the field intensity factors at the crack tip under the impermeable crack assumption and the permeable crack assumption, respectively. The results showed that, unless the crack was extremely flat or the flaw interior was filled with conductive media, the electrically impermeable boundary was a reasonable one.…”

Section: Introductionmentioning

confidence: 99%