On the reduction of stress concentration factor in an infinite panel using different radial functionally graded materials

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

doi:10.1504/ijmpt.2018.092937

Cited by 14 publications

(6 citation statements)

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“…XFEM is an enriched finite element method (FEM) that can model the inclusion without conformal meshing (Moes et al, 1999). Goyat et al (2018) explained the detailed mathematical modeling of XFEM for FGM enclosed holes in an infinite panel subjected to different load conditions.…”

Section: Mathematical Modelingmentioning

confidence: 99%

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Modeling and Stress Analysis of Rounded Rectangular Inclusion Enclosed by FGM Layer

Rani

Verma

Ghangas

2023

Int. j. math. eng. manag. sci.

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The aim of the present work is to model and analyze stresses around rounded rectangular inclusion enclosed with functionally graded material (FGM) layer. The inclusion has been considered in an infinite plate which is subjected to far-field tensile stress. The extended finite element method (XFEM) has been used to model the inclusion with non-conformal mesh. The level set functions of circular and rectangular shapes have been used to trace the inclusion boundary with mesh. The FGM has been considered as continuous varying mixture of inclusion and plate materials with power law function along normal direction to the inclusion interface. Young's modulus has been assumed to vary within FGM layer, whereas Poisson's ratio is kept constant. The stress distribution and stress concentration factor (SCF) have been analyzed for different geometrical and FGM parameters. It has been observed that XFEM with level set method efficiently model the difficult shape inclusions such as rounded rectangle. Applying the FGM layer smoothens the stress distribution around rounded rectangular inclusion and significantly reduces SCF. The position of maximum stress shifted from the inclusion interface toward the FGM layer interface. The least SCF has been noted with power law index n = 0.5 and FGM layer thickness t = r.

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Section: Mathematical Modelingmentioning

confidence: 99%

“…Further, it may not guarantee the high accuracy of results as it consists some mapping errors. Goyat et al (2018) presented a simple and accurate XFEM modeling of FGM reinforced hole. The hole interface was modeled by level set function in a nonconformal XFEM mesh.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Stress Analysis of Rounded Rectangular Inclusion Enclosed by FGM Layer

Rani

Verma

Ghangas

2023

Int. j. math. eng. manag. sci.

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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%

“…Recently, Dave and Sharma [23] derived the solution for stress and moments around a circular or elliptical hole in an infinite FGMs plate, where the material properties change with the plate thickness. Goyat et al [24] use different radial FGMs to reduce the SCF around a central circular hole in an infinite plate by using the extended finite element method.…”

Section: Introductionmentioning

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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“…For some specific radial varying functions of Young's modulus, Mohammadi et al [21] obtained the analytical solution of stresses in an FGM plate with a circular hole under uniform tension. Goyat et al [22] analyzed the effects of different radial variations of Young's modulus on the stress concentration factor (SCF) around the hole in FGM plate with the method of extended finite element. Considering the cost and difficulty of material preparation, Sburlati [23] proposed a more feasible method to reduce the stress concentration by inserting a thin FGM ring around the hole.…”

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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On the reduction of stress concentration factor in an infinite panel using different radial functionally graded materials

Cited by 14 publications

References 0 publications

Modeling and Stress Analysis of Rounded Rectangular Inclusion Enclosed by FGM Layer

Modeling and Stress Analysis of Rounded Rectangular Inclusion Enclosed by FGM Layer

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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