Split singularities and the competition between crack penetration and debond at a bimaterial interface

Zhang, Zhen; Suo, Zhiyong

doi:10.1016/j.ijsolstr.2006.11.035

Cited by 36 publications

(28 citation statements)

References 40 publications

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“…Because the substrate was much thicker than the splat, the stress in the splat was considered to be uniformly distributed along thickness direction, and this was ignored in the substrate [37,62]. In the present study, three failure modes mainly occurred, i.e., channeling [63,64], penetration [56,65,66], and spallation [54,57,61], as shown in Figs. 7(a), 7(b), and 7(c), respectively.…”

Section: Cracking Modes Of Epitaxial Splatsmentioning

confidence: 97%

Epitaxial growth and cracking of highly tough 7YSZ splats by thermal spray technology

Chen

Yang

2017

J Adv Ceram

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Thermally sprayed coatings are essentially layered materials and contain large numbers of lamellar pores. It is thus quite necessary to clarify the formation mechanism of lamellar pores which significantly influence coating performances. In the present study, to elaborate the formation mechanism of lamellar pores, the yttria-stabilized zirconia (ZrO 2 -7 wt% Y 2 O 3 , 7YSZ) splats, which have high fracture toughness and tetragonal phase stability, were employed. Interestingly, anomalous epitaxial growth occurred for all deposition temperatures in spite of the extremely high cooling rate, which clearly indicated chemical bonding and complete contact at splat/substrate interface before splat cooling. However, transverse spallation substantially occurred for all deposition temperatures in spite of the high fracture toughness of 7YSZ, which revealed that the lamellar pores were from transverse cracking/spallation due to the large stress during splat cooling. Additionally, fracture mechanics analysis was carried out, and it was found that the stress arose from the constraint effect of the shrinkage of the splat by locally heated substrate with the value about 1.97 GPa. This clearly demonstrated that the stress was indeed large enough to drive transverse cracking/spallation forming lamellar pores during splat cooling. All of these contribute to understanding the essential features of lamellar bonding and further tailoring the coating structures and performance.

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Section: Cracking Modes Of Epitaxial Splatsmentioning

confidence: 97%

Epitaxial growth and cracking of highly tough 7YSZ splats by thermal spray technology

Chen

Yang

2017

J Adv Ceram

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“…He [7] investigated the competition between crack penetration and deflection for cracks approaching the interface at arbitrary angles. Similar analyses have been utilized in references [8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 93%

“…According to the crack propagation criteria, Eq. (14), the crack deflects along the ILD-SiO 2 interface. Similar trend of crack deflection along the interface was observed for a crack modeled through cohesive damage description (see Fig.…”

Section: Simulations Of Automated Crack Propagation In Multilayered Smentioning

confidence: 99%

Simulations of arbitrary crack path deflection at a material interface in layered structures

Tambat

Subbarayan

2015

Engineering Fracture Mechanics

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“…The associated singular stress field consists of two different orders of singularity which may be either complex conjugates or real [2][3]. In addition, a crack tip that meets an interface of two materials may grow along it or penetrate into the neighbouring material.…”

Section: Introductionmentioning

confidence: 99%

Crack propagation in non-homogenous materials: Evaluation of mixed-mode SIFs, T-stress and kinking angle using a variant of EFG Method

Muthu

Maiti

Falzon

et al. 2016

Engineering Analysis with Boundary Elements

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A new variant of the Element-Free Galerkin (EFG) method, that combines the diffraction method, to characterize the crack tip solution, and the Heaviside enrichment function for representing discontinuity due to a crack, has been used to model crack propagation through non-homogenous materials. In the case of interface crack propagation, the kink angle is predicted by applying the maximum tangential principal stress (MTPS) criterion in conjunction with consideration of the energy release rate (ERR). The MTPS criterion is applied to the crack tip stress field described by both the stress intensity factor (SIF) and the T-stress, which are extracted using the interaction integral method. The proposed EFG method has been developed and applied for 2D case studies involving a crack in an orthotropic material, crack along an interface and a crack terminating at a bi-material interface, under mechanical or thermal loading; this is done to demonstrate the advantages and efficiency of the proposed methodology. The computed SIFs, T-stress and the predicted interface crack kink angles are compared with existing results in the literature and are found to be in good agreement. An example of crack growth through a particle-reinforced composite materials, which may involve crack meandering around the particle, is reported. KEY WORDS: EFG, SIF, T-stress, interface crack, MTPS, crack propagation. INTRODUCTIONComposite materials are often subjected to extreme mechanical and thermal loading conditions that make them susceptible to damage through crack formation. Studies on the modelling of fracture in composites, range from nanoscale to macroscale analysis. Useful insight into the study of fracture may be gained through analysis at the microscale. At this level, the constituent materials are represented separately, i.e. the material is non-homogenous usually consisting of dissimilar materials or bi-materials separated by an interface [1].A propagating crack at the microscale may often impinge on the bi-material interface at an angle. The associated singular stress field consists of two different orders of singularity which may be either complex conjugates or real [2][3]. In addition, a crack tip that meets an interface of two materials may grow along it or penetrate into the neighbouring material. The criterion for such a crack to kink into the neighbouring material is different from the criterion governing the crack propagation in a homogenous material. The development of a proper numerical 2 method and an efficient approach to predict the angle of crack propagation, including kinking of an interface crack, can be very useful in the study of fracture of composites.Mesh-based methods like the finite element method (FEM) and the boundary element method (BEM) pose difficulties for crack propagation problems due to extensive meshing and remeshing. Although the extended finite element method (XFEM), based on the partition-of-unity approach, eliminated some of the difficulties, the enrichment functions depend on the crack tip loc...

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Split singularities and the competition between crack penetration and debond at a bimaterial interface

Cited by 36 publications

References 40 publications

Epitaxial growth and cracking of highly tough 7YSZ splats by thermal spray technology

Epitaxial growth and cracking of highly tough 7YSZ splats by thermal spray technology

Simulations of arbitrary crack path deflection at a material interface in layered structures

Crack propagation in non-homogenous materials: Evaluation of mixed-mode SIFs, T-stress and kinking angle using a variant of EFG Method

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