Frictional receding contact problem for a graded bilayer system indented by a rigid punch

Yilmaz, Korhan Babacan; Çömez, İsa; Yıldırım, Bora; Güler, Mehmet Ali; El-Borgi, Sami

doi:10.1016/j.ijmecsci.2018.03.041

Cited by 43 publications

(17 citation statements)

References 80 publications

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“…examined the sliding contact problem between an arbitrary graded half plane and rigid cylindrical punch. El‐Borgi and Çömez and Yılmaz et al . investigated the frictional receding contact problem of an FG layer resting on a homogeneous half plane or a FG layer.…”

Section: Introductionmentioning

confidence: 99%

“…Chen et al [3] examined the sliding contact problem between an arbitrary graded half plane and rigid cylindrical punch. El-Borgi and Çömez [4] and Yılmaz et al [5] investigated the frictional receding contact problem of an FG layer resting on a homogeneous half plane or a FG layer. A non-slipping contact between a mismatched film and a finite-thickness graded substrate is investigated by Chen et al [6] The partial slip contact problem between a rigid stamp and a FG layer bonded to the rigid substrate is investigated by Chen and Chen.…”

Section: Introductionmentioning

confidence: 99%

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Mechanics of frictional contact for an arbitrary oriented orthotropic material

Çömez

Yilmaz

2019

Z Angew Math Mech

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In this study, the frictional contact problem of a half plane which has monoclinic material property is considered in the framework of linear elasticity theory. The monoclinic half plane is pressed by a rigid cylindrical punch that transmits both normal and tangential loads. The general expressions of the stress and displacement are determined with using integral transform technique. Utilizing the boundary conditions of the problem, a second kind singular integral equation, in which the unknowns are the contact stress and the contact width is obtained. The singular integral equation is solved numerically using the Gauss‐Jacobi integration formulas and the effect of the fiber angle, the friction coefficient, the punch radius, material type and the external load on the contact stress and in‐plane stress are given. The analytical solution is compared with the finite element solution and good agreement is obtained.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mechanics of frictional contact for an arbitrary oriented orthotropic material

Çömez

Yilmaz

2019

Z Angew Math Mech

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“…The effect of the material non-homogeneity parameter and the thickness of the graded layer on the contact pressure and on the length of the receding contact were analyzed. More complicatedly, the frictional receding contact problem for two graded layers pressed by a rigid punch has been considered [64]. In addition, the problem of thermoelastic contact mechanics for the coating/substrate system with functionally graded properties has been investigated [65], in which frictional heat generation inside the contact region due to sliding of the indenter over the half-plane surface is taken into account.…”

Section: Functionally Graded Materials Coating (Fgm)mentioning

confidence: 99%

Literature Review on Fretting Wear and Contact Mechanics of Tribological Coatings

Eom

Géringer

et al. 2019

Coatings

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This article reviews fretting wear damage in industries and in the contact mechanics of coated systems. Micro-slip motion resulting in fretting damage is discussed along with major experimental factors. The experimental factors, including normal force, relative displacement, frequency and medium influence are directly compared. Industrial solutions to reduce fretting damages are then discussed. The contact mechanics of a coated system are reviewed to quantify stress states in a coating layer and the substrate. Finally, a literature review on simulation for fretting is carried out. This review study provides useful methods and practical solutions to minimize fretting wear damage.

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“…The frictional receding contact problem for two FGM layers pressed by a rigid punch was analyzed using SIE approach and FEM by Yilmaz et al. 34 Yan et al. 35 considered the frictionless double contact problem involving an FGM coated-homogeneous elastic layer resting on a homogeneous elastic half-plane and indented by a rigid punch.…”

Section: Introductionmentioning

confidence: 99%

“…Considering the receding contact problems, El-Borgi and Ç o¨mez 33 studied analytically the receding frictional contact between an FGM layer and a homogeneous half-plane, which were pressed against each other by a rigid stamp. The frictional receding contact problem for two FGM layers pressed by a rigid punch was analyzed using SIE approach and FEM by Yilmaz et al 34 Yan et al 35 considered the frictionless double contact problem involving an FGM coated-homogeneous elastic layer resting on a homogeneous elastic halfplane and indented by a rigid punch. Chidlow and Teodorescu 36,37 derived a semi-analytical model to estimate the stress and displacement fields induced within a layered material including a coating-FGM layer-substrate through frictional contact with another object.…”

Section: Introductionmentioning

confidence: 99%

Modeling and analysis of the nonlinear indentation problems of functionally graded elastic layered solids

Attia

El-Shafei

2019

Proceedings of the Institution of Mechanical Engineers, Part J:

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In tribological and thermo-electro-mechanical applications with an appropriate gradation of properties, functionally graded materials provide superior performance for damage and wear resistance of contact systems and thermal and mechanical responses for other mechanical devices. This paper presents a nonlinear mixed variational-based computational model for the analysis of nonlinear plane indentation problems of elastic functionally graded layered elastic solids. The functionally graded elastic layer is perfectly bonded to the elastic substrate and is normally loaded by a cylindrical rigid punch. In addition to nonlinearity inherent to the contact problem, the developed model accounts for the geometric nonlinearity in the sense of larger displacements and rotations, but smaller strains. The modulus of elasticity as well as Poisson's ratio of the graded layer are varying along the thickness of the layer according to both exponential and power laws. On the contrary, in the conventional homogeneous finite element formulation the isoparametric graded finite element formulation is adopted on the level of Gaussian integration points to realize the gradation in material properties. The friction at the contact interface is modeled using Coulomb's friction law. Moreover, the inequality contact constraints are exactly satisfied throughout the contact interface by employing the Lagrange multiplier method, where the indentation force and the displacement fields are treated as independent variables. The obtained results of contact pressure, tangential contact stress, stress distribution, and indentation force show a significant influence of the material distribution, gradation law, gradient index, and thickness of the functionally graded layer.

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Frictional receding contact problem for a graded bilayer system indented by a rigid punch

Cited by 43 publications

References 80 publications

Mechanics of frictional contact for an arbitrary oriented orthotropic material

Mechanics of frictional contact for an arbitrary oriented orthotropic material

Literature Review on Fretting Wear and Contact Mechanics of Tribological Coatings

Modeling and analysis of the nonlinear indentation problems of functionally graded elastic layered solids

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