Reduction in stress concentration around a pair of circular holes with functionally graded material layer

Goyat, Vikas; Verma, Suresh; Garg, Ramesh Kumar

doi:10.1007/s00707-017-1974-5

Cited by 21 publications

(5 citation statements)

References 21 publications

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“…It was found that the deflection angle of the crack was almost the same under three sizes of coating thickness, but when the coating thickness was 12, the crack first extended to the left and right boundaries, and when the coating thickness was 8, the crack propagation distance was the smallest. Goyat and Verma chose an FGM coating with the power law index, and pointed out that the thickness of the coating largely contributes to the reduction of the stress concentration factor [17]. It was also found that the sample with a coating thickness of 8 mm had a smaller range of strain energy density and less damage was done to the component under the same conditions.…”

Section: Crack Propagation and Deflection Of Fgms Corresponding To DImentioning

confidence: 99%

“…Guo et al studied dynamic fracture behavior of an FGM coating-substrate structure with a crack perpendicular to the graded direction under internal load [16]. Goyat and Verma used the extended finite element method to adjust the thickness of the FGM coating by reducing the stress concentration [17]. Rezaei et al developed a numerical model which serves to predict damage behavior and crack propagation in the coating system by using the cohesive zone [18].…”

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: Crack Propagation and Deflection Of Fgms Corresponding To DImentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Cheng

Feng

2019

Coatings

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“…A detailed introduction and computation can be found in Kubair [21,22]. In this paper, the classical definition for SCF, which is still widely adopted in FGMs [6,7,24,42,43] is used for further analysis and discussion, i.e., here the SCF is expressed as τ max θ3 /τ ∞ 23 . The variation in SCF with exponent n for different shaped holes is shown in Figure 13.…”

Section: Optimized Analysismentioning

confidence: 99%

Stress Concentration and Optimized Analysis of an Arbitrarily Shaped Hole with a Graded Layer under Anti-Plane Shear

Guan

2018

Applied Sciences

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This paper provides a general solution to the anti-plane problem of an arbitrarily shaped hole reinforced with a functionally graded (FG) layer in a homogenous plate. By using the piece-wise homogeneous layers method and the conformal mapping technique, the complex potentials in the form of series in the FG layer are derived based on the theory of complex variable functions. The influence of the FG layer on the shear stress distributions around some typically shaped holes are discussed by numerical examples, and then the optimized analysis of the stress concentration factor (SCF) is performed. The results showed that the SCF of various shaped holes can be noticeably reduced by the optimum design of the material variations in the layer, and the most significant one in this paper is the triangular hole, whose SCF can be decreased by more than 50%.

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“…Therefore, it has been of great concern to reduce the stress concentration near holes during the structure design and safety maintenance in engineering. Recent research [8][9][10][11] indicates that the stress concentration around the holes can be effectively reduced by introducing a reinforcing ring made by functionally graded material (FGM).…”

Section: Introductionmentioning

confidence: 99%

Out-of-Plane Bending of Functionally Graded Thin Plates with a Circular Hole

et al. 2020

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The out-of-plane bending problems of functionally graded thin plates with a circular hole are studied for two-dimensional deformations. The thin plates have arbitrary variations of elastic properties along the radial direction. The general solutions of the stresses and moments are presented for the plates subjected to remote bending moments based on the theory of complex variable functions. Two different cases—a whole functionally graded plate with a circular hole and a functionally graded ring reinforced in a homogeneous perforated plate—are considered by numerical examples. The influence of parameters like Young’s modulus and Poisson’s ratio, function types of these elastic properties, and width of the reinforcing ring on the moments around the hole is presented. It is shown that the moment concentration, caused by the geometric discontinuity of the hole in the traditional homogeneous plate, can be well relieved or even eliminated by careful selection of the above parameters. The results for some special cases are compared with previous literatures and are found in good agreement.

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Reduction in stress concentration around a pair of circular holes with functionally graded material layer

Cited by 21 publications

References 21 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

Stress Concentration and Optimized Analysis of an Arbitrarily Shaped Hole with a Graded Layer under Anti-Plane Shear

Out-of-Plane Bending of Functionally Graded Thin Plates with a Circular Hole

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