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Gosz, M.; Okyar, A. Fethi; Nair, Sudhakar

doi:10.1023/a:1025100507702

Cited by 6 publications

(4 citation statements)

References 12 publications

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“…Using the complex variable method, Gosz et al . and Khandelwal and Chadra Kishen showed that J 2 ‐integral can also be expressed in terms of the SIFs for interfacial cracks between two dissimilar homogeneous and isotropic materials as

\begin{matrix} left \\ J_{2} = - \frac{1}{4 πε {((),, cosh italicπε)}^{2}} [\frac{1}{\overset{(1)}{\overset{true¯}{E}}} (1 - e^{- 2 πε}) + \frac{1}{\overset{(2)}{\overset{true¯}{E}}} (e^{2 πε} - 1)] \times \\ [(K_{1}^{2} - K_{2}^{2}) sin (2 ε ln r) + 2 K_{1} K_{2} cos (2 ε ln r)] \end{matrix}

…”

Section: Review Of the Relations Between Jk‐integral And Sifs For Dif...mentioning

confidence: 99%

“…Malyshev and Salganik derived an analytical expression relating J 1 and SIFs for an interfacial crack between two dissimilar homogeneous and isotropic materials. Gosz et al . and Khandelwal and Chadra Kishen obtained an analytical expression for J 2 ‐integral in terms of SIFs for an interfacial crack between two dissimilar homogeneous and isotropic materials using the complex variable method.…”

Section: Introductionmentioning

confidence: 99%

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An analytical expression for the J₂‐integral of an interfacial crack in orthotropic bimaterials

Tafreshi

2017

Fatigue Fract Eng Mat Struct

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\begin{matrix} left \\ J_{2} = - \frac{1}{4 πε {((),, cosh italicπε)}^{2}} [\frac{1}{\overset{(1)}{\overset{true¯}{E}}} (1 - e^{- 2 πε}) + \frac{1}{\overset{(2)}{\overset{true¯}{E}}} (e^{2 πε} - 1)] \times \\ [(K_{1}^{2} - K_{2}^{2}) sin (2 ε ln r) + 2 K_{1} K_{2} cos (2 ε ln r)] \end{matrix}

…”

Section: Review Of the Relations Between Jk‐integral And Sifs For Dif...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An analytical expression for the J₂‐integral of an interfacial crack in orthotropic bimaterials

Tafreshi

2017

Fatigue Fract Eng Mat Struct

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“…Some studies have shown that during the coal mining process, the coal-rock interface is subjected to compressive-shear combined loads due to the influence of mining-induced stress, extraction, and tunneling. [14][15][16] The instability and failure of coalrocks under different stress states are caused by the initiation, propagation, and coalescence of interface cracks, [17][18][19][20] which directly affect the stability of the coal-rock structure. [21][22][23][24] Therefore, studying the initiation and propagation of interface cracks in deep coal-rock formations under compressive-shear combined loads is of great significance.…”

Section: Introductionmentioning

confidence: 99%

The failure behavior of coal-rock combined body under compression-shear loading

Li,

Yuan

et al. 2024

Science Progress

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As shallow coal reserves continue to deplete rapidly, deep mining has become an unavoidable course of action. In the process of deep coal mining, affected by blasting, mining, and excavation, the coal-rock interface often encounters the action of compression-shear composite load. The interface crack directly affects the stability of the coal-rock structure. Uniaxial compression experiments have been conducted on rock and coal-like material with pre-existing interfacial oblique cracks to study the crack propagation criterion of the rock and coal-like material interface. An image acquisition system is used to record the surface speckle field of the whole process of specimen failure. The strain fields and stress intensity factor of the sample at different times are obtained by digital image correlation. At the same time, the stress field near the crack tip is calculated. The results show that with the increase of loading, two strains of localization bands are formed on the surface of the specimen. One of the strain-localized bands starts at the lower tip of the prefabricated crack and propagates along the vertical interface. The other starts at the upper tip of the prefabricated damage and propagates along the interface direction. It can be seen that the lower tip of the prefabricated crack enters into the crack fracture process zone earlier than the upper tip. The strain localization band narrows gradually with the load increase, and then macro cracks appear. The initiation of two tips is suitable for different fracture criteria. The lower tip is dominated by the maximum circumferential tensile stress, and the upper tip is dominated by shear stress. The specimens eventually fracture along the interface. The evolution of the strain field during the failure process of rock and coal-like material can reflect the generation and propagation of the crack.

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“…The rotating material axes investigate the anisotropy of material and help to approves the new finite element methods [19] such as the scaled boundary finite element method [20], fractal two-level finite element method [21], the element-free Galerkin method with the fractal finite element method [22] and the ES-FEM [16]. The deviation of the principal direction of a crack is defined as kinking of the crack which can be seen as the first step of the propagation, evaluated either with the ERR [23][24][25][26] or more often with the stress intensity factor [27]. It's taken into account for the fatigue crack growth [28] the effect of the T-stress [27] and different other cases.…”

Section: Introductionmentioning

confidence: 99%

Mixed Finite Element Computation of Energy Release Rate in Anisotropic Materials Based on Virtual Crack Closure-Integral Method

Derouiche

Bouziane

Bouzerd

2021

Frattura Ed Integrità Strutturale

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The material with anisotropic properties are becoming widely essential due to the ease to manipulate their mechanical properties in order to obtain a particular quality, insure safety or a specific behavior. Those kind of materials are considered anisotropic because their characteristics and behavior are dependent to every direction of the material’s orientation. In this work, the virtual crack closure-integral technique is implemented to a mixed finite element, in addition with the stiffness derivative procedure, to evaluate the energy release rate of crack extension in anisotropic materials. A simulation of a cracked edge rectangular plat with anisotropic characteristics is taken for example. The results obtained are in good agreement with the analytical results, making the proposed technique a good model for fracture investigation and allow it to study more complicated cases in future works.

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Untitled

Cited by 6 publications

References 12 publications

An analytical expression for the J₂‐integral of an interfacial crack in orthotropic bimaterials

An analytical expression for the J₂‐integral of an interfacial crack in orthotropic bimaterials

The failure behavior of coal-rock combined body under compression-shear loading

Mixed Finite Element Computation of Energy Release Rate in Anisotropic Materials Based on Virtual Crack Closure-Integral Method

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Untitled

Cited by 6 publications

References 12 publications

An analytical expression for the J2‐integral of an interfacial crack in orthotropic bimaterials

An analytical expression for the J2‐integral of an interfacial crack in orthotropic bimaterials

The failure behavior of coal-rock combined body under compression-shear loading

Mixed Finite Element Computation of Energy Release Rate in Anisotropic Materials Based on Virtual Crack Closure-Integral Method

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An analytical expression for the J₂‐integral of an interfacial crack in orthotropic bimaterials

An analytical expression for the J₂‐integral of an interfacial crack in orthotropic bimaterials