Propagation of a Dugdale crack at the edge of a half plane

Ferdjani, Hicheme; Abdelmoula, Radhi

doi:10.1007/s00161-017-0594-6

Cited by 9 publications

(2 citation statements)

References 13 publications

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“…Considering the existence of the yielding zone at the crack tip, 50 the geometry of the crack is affected without the influence on SIFs. 51 A correction coefficient 𝜅 is introduced to depict the modification of the yielding zone on the crack tip:…”

Section: Mechanisms Of Mineral Dissolution Along Fracturementioning

confidence: 99%

“…Considering the existence of the yielding zone at the crack tip, 50 the geometry of the crack is affected without the influence on SIFs 51 . A correction coefficient κ is introduced to depict the modification of the yielding zone on the crack tip:

\begin{equation}\left\{ \def\eqcellsep{&}\begin{array}{l} a(t) = {a}_0 + \Delta a = {a}_0 + \kappa L(t)\\[6pt] b(t) = {b}_0 + \Delta b = {b}_0 + L(t) \end{array} \right.\end{equation}

where a 0 and b 0 represent the initial half‐length and initial half‐width of the crack, respectively;

L(t)

is the extension induced by chemical reaction along the crack after immersed t time.…”

Section: The Dissolution Damage Fracture Modelmentioning

confidence: 99%

See 1 more Smart Citation

Study on the effect of hydro‐chemical dissolution on shear properties of rock fractures using the improved discontinuous deformation analysis

Gao

Chen

Mitani

et al. 2023

Num Anal Meth Geomechanics

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Hydro‐chemical erosion has critical effects on the short‐ and long‐term stability of fractured rock masses in subsurface engineering. Attempts have been made to study this water‐rock interaction process using numerical approaches. However, the majority of the existing approaches quantify the degradation based on the homogeneity hypothesis, which leads to unrealistic results in the case of rock mass with discontinuities. In this study, the hydro‐chemical degradation is represented through geometrical variation of a single crack and reflected in the modified bilinear constitutive model by introducing the hydro‐chemical damage factor. Then, discontinuous deformation analysis (DDA) method embedded in such improvements is chosen to implement the direct shearing process of the rock fracture after hydro‐chemical erosion. The results reveal that the peak shear strength decrease with the increase in the acidity solutions, and a logarithmic relation is found between the decreasing percentage of shear properties and soaking time, which are consistent with the laboratory results. Besides, based on the proposed method, the change in peak shear strength presents synchronism with the variation in the mineral ion and H+${H}^ + $ concentration, shown to be in good agreement with the basic understanding of the dissolution process. In addition, the failure patterns of the sheared samples under different normal stress are studied. This research provides an effective tool to quantify the hydro‐chemical damage from the microscale and will be a significant complement to the coupled numerical analysis of the water‐rock interaction process.

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Section: Mechanisms Of Mineral Dissolution Along Fracturementioning

confidence: 99%

\begin{equation}\left\{ \def\eqcellsep{&}\begin{array}{l} a(t) = {a}_0 + \Delta a = {a}_0 + \kappa L(t)\\[6pt] b(t) = {b}_0 + \Delta b = {b}_0 + L(t) \end{array} \right.\end{equation}

where a 0 and b 0 represent the initial half‐length and initial half‐width of the crack, respectively;

L(t)

is the extension induced by chemical reaction along the crack after immersed t time.…”

Section: The Dissolution Damage Fracture Modelmentioning

confidence: 99%

Study on the effect of hydro‐chemical dissolution on shear properties of rock fractures using the improved discontinuous deformation analysis

Gao

Chen

Mitani

et al. 2023

Num Anal Meth Geomechanics

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Analytical solution of two non‐identical edge cracks in an infinite strip under anti‐plane shear wave

Panja,

Alam,

Mandal

2024

Z Angew Math Mech

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This article presents an extensive analytical solution addressing the interaction between two non‐identical edge cracks in an infinite orthotropic strip under anti‐plane shear waves. Most studies assume identical cracks or single edge crack in a strip, but this research breaks new ground by considering cracks of different sizes. By incorporating mixed‐type boundary conditions, the study derives dual integral equations. These equations are then transformed into a singular integral equation of Cauchy type with the aid of a trial solution and contour integration technique. The singular integral equation is further converted into a system of integral equations, which are solved numerically utilizing Jacobi polynomials. The obtained solutions are utilized to derive expressions for the stress intensity factor (SIF) and crack opening displacement (COD) at the crack tip using Krenk's interpolation formulae. The derived results are presented graphically and compared against existing solutions for single edge crack and symmetric edge cracks in static scenario.

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Determination of crack opening displacement and critical load parameter within a cohesive zone model

Selivanov

Chornoivan

Kononchuk

2018

Continuum Mech. Thermodyn.

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Propagation of a Dugdale crack at the edge of a half plane

Cited by 9 publications

References 13 publications

Study on the effect of hydro‐chemical dissolution on shear properties of rock fractures using the improved discontinuous deformation analysis

Study on the effect of hydro‐chemical dissolution on shear properties of rock fractures using the improved discontinuous deformation analysis

Analytical solution of two non‐identical edge cracks in an infinite strip under anti‐plane shear wave

Determination of crack opening displacement and critical load parameter within a cohesive zone model

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