A crack approaching a curvilinear hole in an anisotropic plane under general loadings

Liaw, Benjamin; Kamel, M.

doi:10.1016/0013-7944(91)90123-i

Cited by 8 publications

(3 citation statements)

References 9 publications

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“…t sc J = −t in J on , the system of non-hypersingular traction BIE (14) is obtained and it is equivalent to the BVP defined by the Eqs. (5) and (6).…”

Section: Biem Formulation and Fundamental Solutionmentioning

confidence: 98%

“…The interaction between a main crack and an arbitrary located elliptical hole near its tip under mode III loading conditions was solved in Gong and Meguid [5]. The boundary integral equation method (BIEM) was proposed in Liaw and Kamel [6] to evaluate the static stress intensity factors of a crack approaching a curvilinear hole in an anisotropic elastic plane. By using complex variables method and Fredholm integral equation method, the static interaction between multiple cracks and a circular hole under anti-plane deformation was studied in Chen and Wang [7].…”

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confidence: 99%

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Anti-plane dynamic hole–crack interaction in a functionally graded piezoelectric media

et al. 2011

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The anti-plane dynamic problem of a functionally graded piezoelectric plane containing a holecrack system is treated by a non-hypersingular traction-based boundary integral equation method. The material parameters vary exponentially in the same manner in an arbitrary direction. The system is loaded by an incident SH-type wave, and impermeable boundary conditions are assumed. Using a frequency-dependent fundamental solution of the wave equation, the boundary value problem is transformed into a system of integro-differential equations along the boundary of the hole and on the crack line. Its numerical solution yields the dynamic stress intensity factors and stress concentration factors. A parametric study reveals their dependence on the hole-crack scenario and its geometry, characteristics of the dynamic load and magnitude and direction of material inhomogeneity.

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“…t sc J = −t in J on , the system of non-hypersingular traction BIE (14) is obtained and it is equivalent to the BVP defined by the Eqs. (5) and (6).…”

Section: Biem Formulation and Fundamental Solutionmentioning

confidence: 98%

mentioning

confidence: 99%

Anti-plane dynamic hole–crack interaction in a functionally graded piezoelectric media

et al. 2011

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show abstract

“…For example, by using complex method and superposition method, a general solution is obtained to the problem of the interaction between a main crack and an arbitrarily located and oriented elliptical hole near its tip under mode III loading conditions (Gong and Meguid, 1991). The boundary integral equation (BEM) method was formulated to evaluate the stress intensity factors of a crack approaching a curvilinear hole in an anisotropic plane under arbitrary loadings (Liaw and Kamel, 1991). By using complex variables method and Fredholm integral equation method, the interaction between multiple cracks and a circular hole under antiplane deformation was studied by Chen and Wang (1986).…”

Section: Introductionmentioning

confidence: 99%

Dynamic interaction between multiple cracks and a circular hole swept by SH waves

Hanyga

2004

International Journal of Solids and Structures

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Crack tip fields in anisotropic planes: a review

2021

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This paper reviews crack tip asymptotic fields in generic plane anisotropic media, rigorously categorising about 400 studies devoted to the determination of the asymptote coefficients, also referred to as crack tip parameters. These studies cover a broad spectrum of methodologies focused on determining crack tip parameters in anisotropic materials, from analytical, numerical and experimental perspectives, conducted over the last six decades. Brief descriptions are given for a selected number of approaches to shed light on their general concepts and their methodology to characterise crack tip parameters. Lastly, the influence of higher order coefficients in the crack tip stress field is demonstrated by a representative example from the literature.

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A crack approaching a curvilinear hole in an anisotropic plane under general loadings

Cited by 8 publications

References 9 publications

Anti-plane dynamic hole–crack interaction in a functionally graded piezoelectric media

Anti-plane dynamic hole–crack interaction in a functionally graded piezoelectric media

Dynamic interaction between multiple cracks and a circular hole swept by SH waves

Crack tip fields in anisotropic planes: a review

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