Stress field of a radially functionally graded panel with a circular elastic inclusion under static anti-plane shear loading

Shi, Pengpeng

doi:10.1007/s12206-015-0228-5

Cited by 4 publications

(2 citation statements)

References 18 publications

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“…A novel definition is introduced for the SCF in FGM plates with geometrical discontinuities in general. Shi [27] presented an analytical solution of the elastic stress fields around a circular elastic inclusion in a radial FGM plate under a uniform anti-plane shear loading at infinity. Guan and Li [28] analyzed the stress concentration around an arbitrarily shaped hole reinforced with an FGM layer in an infinite plate under anti-plane shear and performed the optimized analysis of the SCF.…”

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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Section: Introductionmentioning

confidence: 99%

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

et al. 2020

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“…Dave and Sharma [19] also used the complex variable function method to solve the problem of the FGM plate with rectangular holes. Based on the variable separation method, the analytical solutions of stress and strain distribution around the circular elastic inclusion and elliptical nano-fiber inclusion are obtained by Shi [20,21]. Goyat, et al [22] used the extended finite element method to analyze the stress concentration of the FGM layer in an infinite plate with a pair of circular holes under different loads.…”

Section: Introductionmentioning

confidence: 99%

Stress Concentration and Damage Factor Due to Central Elliptical Hole in Functionally Graded Panels Subjected to Uniform Tensile Traction

et al. 2019

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Functionally graded material (FGM) can optimize the mechanical properties of composites by designing the spatial variation of material properties. In this paper, the stress distribution of functionally graded panel with a central elliptical hole under uniaxial tensile load is analyzed. Based on the inhomogeneity variation and three different gradient directions, the effects of the inhomogeneity on the stress concentration factor and damage factor are discussed. The study results show that when Young’s modulus increases with the distance from the hole, the stress concentration factor decreases compared with that of homogeneous material, and the optimal design of r-FGM is better than that of x-FGM and y-FGM when the tensile load. In addition, when the associated variation of ultimate stress is considered, the choice of scheme to reduce the failure index is related to the strength-modulus exponent ratio. When the strength-modulus exponent ratio is small, the failure index changes with the index of power-law, which means there is an optimal FGM design. But when the strength-modulus exponent ratio is large, the optimal design modulus design is to select a uniform material that maximizes the modulus at each point. These research results have a certain reference value for further in-depth understanding of the inhomogeneous design for FGM.

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Reducing stress concentration factor by strengthening circular hole with functionally graded incompressible material layer

Nie

Batra

2019

Thin-Walled Structures

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Stress field of a radially functionally graded panel with a circular elastic inclusion under static anti-plane shear loading

Cited by 4 publications

References 18 publications

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

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

Stress Concentration and Damage Factor Due to Central Elliptical Hole in Functionally Graded Panels Subjected to Uniform Tensile Traction

Reducing stress concentration factor by strengthening circular hole with functionally graded incompressible material layer

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