Analysis of an arbitrarily oriented crack in a functionally graded plane using a non-local approach

Jamia, Nidhal; El-Borgi, Sami; Fernandes, Ralston; Vegamoor, V.

doi:10.1016/j.tafmec.2016.05.001

Cited by 7 publications

(9 citation statements)

References 35 publications

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“…The values of the density, elastic modulus, and fracture toughness of the FGM coating were taken from the results of Kirugulige and Tippur [7]. The gradient form of FGM was changed to its exponential form, a method that has been adopted by many researchers in previous studies [8]. In this section, the PD convergence of the FGM rectangular plates in exponential gradient form was investigated to further prove the feasibility of the PD method for studying crack bending of gradient materials under dynamic loading conditions.…”

Section: Problem Settingmentioning

confidence: 99%

“…Based on the difficulty of discontinuity assumptions, many previous experiments and finite element simulations in FGMs have assumed that the properties of the elastic modulus in FGMs are exponential [7,8,19]. The PD theory was used to analyze the FGM model with arbitrarily changed gradient forms in this paper.…”

Section: Crack Propagation and Deflection Of The Fgm Coating Correspomentioning

confidence: 99%

“…In order to eliminate this mismatch and improve the performance and integrity of the coating and substrate, the design of FGM coatings is actively being explored. In the past two decades, the fracture behavior of FGM has been illustrated [4][5][6][7][8], and FGMs with special properties have been used to overcome interfacial debonding problems [9][10][11][12]; however, the performance of FGMs is also significantly lowered by the existence of cracks. Kim and Paulino investigated the effects of boundary conditions, crack tip mesh discretization, and material properties on fracture behavior in detail [13].…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Fracture Analysis of Functional Gradient Material Coating Based on the Peridynamic Method

Cheng

Feng

2019

Coatings

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Functional gradient materials (FGMs) have tremendous potential due to their characteristic advantage of asymptotic continuous variation of their properties. When an FGM is used as a coating material, damage and failure of the interface with the substrate component can be effectively inhibited. In order to study the dynamic crack propagation in FGM coatings, a new method, peridynamics (PD), was used in the present study to simulate dynamic fractures of FGM coatings bonded to a homogeneous substrate under dynamic loading. The bond-based PD theory was employed to study crack propagation and branching in the FGM coating. The influences of the coating gradient pattern, loading, and the geometry and size of the structure on crack curving and propagation under impact loading were investigated. The numerical results show that different forms of the elastic modulus of graded material, the geometry of the structure, and the loading conditions have considerate effects on crack propagation in FGM coatings, but a specific form of elastic modulus had a limited effect on the dynamic fracture of FGM coating.

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Section: Problem Settingmentioning

confidence: 99%

Section: Crack Propagation and Deflection Of The Fgm Coating Correspomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamic Fracture Analysis of Functional Gradient Material Coating Based on the Peridynamic Method

Cheng

Feng

2019

Coatings

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“…The nonlocal kernel α ( | x ′ − x | ) can be shown by an atomic model. A more useful form for a two-dimensional problem is [17, 18]…”

Section: Fundamental Equations Of Nonlocal Elasticitymentioning

confidence: 99%

“…For instance, for a perfect crystal, it may be taken as the lattice parameter, for a granular material, it may be considered to be the average granular distance, or for a fiber composite, it may be considered to be the fiber distance. In the present paper, a is taken as the lattice parameter [17, 18]. The constant is then normalized, giving [18, 19]…”

Section: Fundamental Equations Of Nonlocal Elasticitymentioning

confidence: 99%

Anti-plane stress analysis of a half-plane with multiple cracks by distributed dislocation technique in nonlocal elasticity

Tavakoli

Fotuhi

2018

Mathematics and Mechanics of Solids

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The effective role of a distributed dislocation technique accompanied by a nonlocal elasticity model has been demonstrated for the crack problem in a half-plane. The dislocation solution is employed to model and analyze the anti-plane crack problem for nonlocal elasticity using the distributed dislocation technique. The solution of dislocation in the half-plane has been extracted through the solution of dislocation in an infinite plane by the image method. The dislocation solution has been utilized to formulate integral equations for dislocation density functions on the surface of a smooth crack embedded in the half-plane under anti-plane loads. The integral equations are of the Cauchy singular type, and have been solved numerically. Multiple cracks with different configurations have been solved; results demonstrate that the nonlocal theory predicts a certain stress value in the crack tip.

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The stress intensity factor and propagation of an inclined crack in the central layer of a composite laminate under tension

Wang

2018

Theoretical and Applied Fracture Mechanics

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Analysis of an arbitrarily oriented crack in a functionally graded plane using a non-local approach

Cited by 7 publications

References 35 publications

Dynamic Fracture Analysis of Functional Gradient Material Coating Based on the Peridynamic Method

Dynamic Fracture Analysis of Functional Gradient Material Coating Based on the Peridynamic Method

Anti-plane stress analysis of a half-plane with multiple cracks by distributed dislocation technique in nonlocal elasticity

The stress intensity factor and propagation of an inclined crack in the central layer of a composite laminate under tension

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