Finite element analysis of crack perpendicular to bi-material interface: Case of couple ceramic–metal

Kaddouri, K.; Belhouari, M.; Bouiadjra, B. Bachir; Sérier, B.

doi:10.1016/j.commatsci.2005.03.003

Cited by 33 publications

(20 citation statements)

References 12 publications

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“…A review of the fracture criteria at interfaces was presented by . Numerical solutions for the ratio G d / G p are presented by Kaddouri et al (2006) and Madani et al (2007) for different ceramic-metal joints and for fiber composites.…”

Section: Introductionmentioning

confidence: 99%

Effect of Biaxial Load on Crack Deflection/Penetration at Bi-material Ceramic Interface

Marșavina

Sadowski

2007

Int J Fract

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The paper investigates the effect of the biaxial loading on crack deflection/ penetration at a bi-material ceramic interface. A biaxially loaded geometry was numerically investigated using Finite Element Analysis in order to determine the energy release rate. The obtained results could be used in conjunction with a fracture criteria at interface for estimating the path of the crack after the interface was reached.

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Section: Introductionmentioning

confidence: 99%

Effect of Biaxial Load on Crack Deflection/Penetration at Bi-material Ceramic Interface

Marșavina

Sadowski

2007

Int J Fract

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“…Huang et al [23][24][25] expressed the arbitrary variation of material properties by a series of continuous but piecewise-linear curves. The commonly used fracture analysis methods for FGMs include the half-analytical method based on integral transform [17,[26][27][28] and the pure numerical method based on finite element computation [29][30][31][32]. Most of the existing fracture analyses concerning FGM interfaces are focused on the FGM interlayer [15,21,22,25,33] and the interface between a FGM coating and a homogeneous substrate [17,19,23,24,[34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Dynamic stress intensity factor of a crack perpendicular to the weak-discontinuous interface in a nonhomogeneous coating–substrate structure

Lee

Zhang²

2008

Arch Appl Mech

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A mechanical model was established for the antiplane dynamic fracture problem of a functionally graded coating-substrate structure with a coating crack perpendicular to the weak-discontinuous interface. The problem was reduced to a Cauchy singular integral equation by the methods of Laplace and Fourier integral transforms. Erdogan's collocation method and the Laplace numerical inversion proposed by Miller and Guy were used to calculate the dynamic stress intensity factors. Three conclusions were drawn through parametric studies: (a) unlike the conclusion drawn for an interfacial crack, reducing the weak discontinuity of the interface will not necessarily decrease the dynamic stress intensity factor (DSIF) of the coating crack perpendicular to the interface; (b) increasing the stiffness of the substrate when that of the coating is fixed, or decreasing the stiffness of coating when that of the substrate is fixed, will be beneficial for the reduction of the DSIF of a coating crack perpendicular to the interface; and (c) the free surface has a greater influence on the DSIF than the interface does, and the effect of the interface on the DSIF is greater than that of the material stiffness in the crack-tip region.

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“…The symbol defines the strength of the stress singularity. It has been shown that the value of is a real number between 0 and 1 (0 < < 1) and is a function of the elastic properties of the present materials, which can be determined as a root of the following characteristic equation [20]:…”

Section: Crack Behavior At the Interface For Four-point Bending Condimentioning

confidence: 99%

“…The stress relationship at the interface of bi-material plate with crack normal at the interface is given in the following equation (5) from reference [20]:…”

Section: Crack Behavior At the Interface For Four-point Bending Condimentioning

confidence: 99%

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Criteria for Crack Deflection-Penetration in EBC Coated Ceramics: A Parametric Study

Abdul-Aziz

Bhatt

Grady

2015

Mechanics of Advanced Materials and Structures

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This article discusses results obtained from a parametric study to analytically evaluate the impingement of a crack at the interface of an environmental barrier coating (EBC) and a monolithic Silicon nitride (Si 3 N 4 ) layered ceramics substrate. The study establishes a correlation that leads to determine if the crack is arrested or advanced by either penetrating or deflecting along the EBC/substrate interface. A finite-element-based fracture mechanics methodology is utilized to perform these calculations. Critical parameters determining penetration-deflection conditions in relation to EBC's physical characteristics, such as porosity level, voids, and mini cracks, are determined for a single layer and multi-layered coating system coordinating the interactions between the EBCs (Mullite, Mullite mixture, Silicon nitride, etc.) and the substrate structure. Results showing thermo-mechanical stresses and stress/strain energy release relations with respect to crack penetration-deflection are presented and discussed as the crack is advanced. = stress at the interface r and = radial distance and the polar angle f ij ( ) = angular distribution of the singular stress field = defines the strength of stress singularity ␣ and ␤ = Dundurs bi-material parameters E' j = E j is for plane stress E' j = E j /(1 -j ) for plane strain (1 and 2 denote the material) = shear modulus [MPa] G d = (material 1) is the strain energy release rate associated with the "deflected" crack or adhesive failure G p = (material 2) is the strain energy release rate associated with the "penetrated" crack (or cohesive failure of adjacent material) G pc = cohesive or penetrated fracture energy G dc = adhesive or deflected fracture energy, respectively K 1 and K 2 = stress intensity factors for the interface crack ε = a function of material constants Keywords

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Finite element analysis of crack perpendicular to bi-material interface: Case of couple ceramic–metal

Cited by 33 publications

References 12 publications

Effect of Biaxial Load on Crack Deflection/Penetration at Bi-material Ceramic Interface

Effect of Biaxial Load on Crack Deflection/Penetration at Bi-material Ceramic Interface

Dynamic stress intensity factor of a crack perpendicular to the weak-discontinuous interface in a nonhomogeneous coating–substrate structure

Criteria for Crack Deflection-Penetration in EBC Coated Ceramics: A Parametric Study

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