Axisymmetric analysis of a functionally graded layer resting on elastic substrate

Turan, Muhittin; Adıyaman, Gökhan; Kahya, Volkan; Birinci, Ahmet

doi:10.12989/sem.2016.58.3.423

Cited by 8 publications

(6 citation statements)

References 22 publications

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“…Then, many researchers have solved the contact problems by using FEM [16][17][18][19][20][21][22][23][24][25]. Besides, in recent years, the studies have increased that analytical results are compared with FEM results of contact problems for FG layers [26][27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Investigation of the contact problem for a partial functionally graded layer by using finite element method

Polat¹,

Kaya²,

Bora³

et al. 2019

JSEAM

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The difficulty of producing functionally graded materials (FGM) and the fact that they are more expensive than homogeneous materials emerge as an industrial problem. The starting point of this study is to investigate alternative solution methods that will contribute to the mentioned problem. In parallel, the analysis of the contact problem for a layer, which is loaded by a rigid block and resting on the elastic half plane, is presented in this paper. Only the area under the block is considered as FGM, the other parts are considered homogeneous material, unlike the studies in the literature. There is no analytical solution for this study and it is compared with the solution which is completely functionally graded (FG) layer in the literature by using finite element method (FEM). Material properties of the FG layer are defined by the macro added to the ANSYS program. The analysis for the partial FG layer were compared with the completely FG layer analysis as figures and tables, and as a result it was predicted that partial FGM could be used for the static problems and may also be practical applications in the industry.

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Section: Introductionmentioning

confidence: 99%

Investigation of the contact problem for a partial functionally graded layer by using finite element method

Polat¹,

Kaya²,

Bora³

et al. 2019

JSEAM

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“…al. [32]. Yan and Mi [33,34] studied contact problems of a structure consisted of a FG layer, a homogeneous layer and homogenous half plane.…”

Section: Introductionmentioning

confidence: 99%

A general solution for the receding contact problem of a functionally graded layer resting on a Winkler foundation

Adıyaman¹,

Birinci²

2018

JSEAM

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In this paper, the receding contact problem of functionally graded (FG) layer resting on a Winkler foundation is considered. It is assumed that the shear modulus of the layer change functionally along the depth whereas Poisson ratio remains constant. Arbitrary concentrated loads by means of arbitrary rigid punches are applied to the top of the layer. The problem is considered as a plain strain problem. A general formulation is obtained using elasticity theory and Fourier integral transform. Obtained formulation is valid for both symmetric and asymmetric systems. A parametric study is carried out to investigate the effect of material properties and loading on contact distances and contact pressures. It is found that, increasing rigidity of the bottom of the FG layer compared to the top of the FG layer, the contact distances between the circular punch and FG layer contact surface decreases whereas maximum contact pressure increases. In addition, placement of the rigid punches has an effect on the contact distances and contact pressures.

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“…The simulations of an FGM component by these methods are generally computationally expensive. A more efficient strategy is to divide the inhomogeneous geometry into several subdomains, each assigned with homogeneous material properties [27–29]. A conventional meshing technique can then be applied within each subdomain.…”

Section: Introductionmentioning

confidence: 99%

“…Conversely, a finite-element model of the same receding contact problem is constructed using ABAQUS/Standard and finite-element analysis is implemented. Following Jahedi et al [27], Turan et al [28], and Balci et al [29], the FGM coating is divided into a number of homogeneous sublayers, whose material properties are determined from the gradation law of the coating. Finally, both the extent of contact and the contact pressure at the interface between the elastic layer and the FGM coating are obtained for both solutions and the results obtained using the two different methods are compared.…”

Section: Introductionmentioning

confidence: 99%

A semianalytical and finite-element solution to the unbonded contact between a frictionless layer and an FGM-coated half-plane

Yan

Liu

2017

Mathematics and Mechanics of Solids

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In this work, we examine the receding contact between a homogeneous elastic layer and a half-plane substrate reinforced by a functionally graded coating. The material properties of the coating are allowed to vary exponentially along its thickness. A distributed traction load applied over a finite segment of the layer surface presses the layer and the coated substrate against each other. It is further assumed that the receding contact between the layer and the coated substrate is frictionless. In the absence of body forces, Fourier integral transforms are used to convert the governing equations and boundary conditions of the plane receding contact problem into a singular integral equation with the contact pressure and contact size as unknowns. Gauss–Chebyshev quadrature is subsequently employed to discretize both the singular integral equation and the force equilibrium condition at the contact interface. An iterative algorithm based on the method of steepest descent has been proposed to numerically solve the system of algebraic equations, which is linear for the contact pressure but nonlinear for the contact size. Extensive case studies are performed with respect to the coating inhomogeneity parameter, geometric parameters, material properties, and the extent of the indentation load. As a result of the indentation, the elastic layer remains in contact with the coated substrate over only a finite interval. Exterior to this region, the layer and the coated substrate lose contact. Nonetheless, the receding contact size is always larger than that of the indentation traction. To validate the theoretical solution, we have also developed a finite-element model to solve the same receding contact problem. Numerical results of finite-element modeling and theoretical development are compared in detail for a number of parametric studies and are found to agree very well with each other.

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Axisymmetric analysis of a functionally graded layer resting on elastic substrate

Cited by 8 publications

References 22 publications

Investigation of the contact problem for a partial functionally graded layer by using finite element method

Investigation of the contact problem for a partial functionally graded layer by using finite element method

A general solution for the receding contact problem of a functionally graded layer resting on a Winkler foundation

A semianalytical and finite-element solution to the unbonded contact between a frictionless layer and an FGM-coated half-plane

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