A simplified analysis of 2D sliding frictional contact between rigid indenters and FGM coated substrates

Jobin, K.J.; Abhilash, M. N.; Murthy, H.

doi:10.1016/j.triboint.2016.09.021

Cited by 28 publications

(13 citation statements)

References 16 publications

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“…From equations (29) and (30), N + 2 equations may be obtained to find the N + 2 unknowns, which are g(r i ), i = 1, . .…”

Section: The Boundary Conditions and Siementioning

confidence: 99%

“…28 Recently, a fully coupled contact problem for a homogeneous functionally graded coating and an isotropic substrate is considered by Alinia et al 29 They used FITT and SIE to numerically solve the corresponding differential equations and they perceived that gradation in material properties affects the surface tractions and Von-Mises stress distributions. The fully sliding contact analysis for a bilayer system loaded by an arbitrarily shaped rigid stamp is studied by Jobin et al 30 Using Krenk’s elastic constants, the sliding contact problem for functionally graded orthotropic coating and a homogeneous isotropic substrate is examined by Alinia et al 31 They provided the numerical solution of the SIE using Chebyshev polynomials and then concluded that elastic constants have a great importance.…”

Section: Introductionmentioning

confidence: 99%

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The effect of orthotropic material gradation on the plane sliding frictional contact mechanics problem

Yilmaz

Çömez

Güler

et al. 2019

The Journal of Strain Analysis for Engineering Design

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With the advent of new functional and intelligent non-conventional materials, understanding the behavior of these materials in different contact conditions over the conventional materials is one of the most crucial aspects in early design process for coated systems. Therefore, the sliding contact problem for a functionally graded orthotropic coating–substrate system and a rigid cylindrical punch is considered in this article to study the aforementioned aspects. The functionally graded orthotropic coating is modeled to be bonded to an isotropic substrate of finite thickness and is loaded by a sliding rigid cylindrical punch under plane strain conditions. For the material orthotropy, five different real orthotropic materials are utilized and the stiffness coefficients of each principal direction are graded separately. Navier’s equations are converted to ordinary differential equations using the Fourier integral transformation technique. Then, the algebraic equations are solved and the problem is cast into a singular integral equation. A parametric finite element analysis based on augmented contact method is also conducted. The normalized surface stress distributions and the normalized contact boundaries obtained from finite element analysis are validated with the results obtained from singular integral equation approach. The results of this study may be helpful for engineers in design and optimization of the characteristics of non-conventional coatings that are used as thermal or structural barriers and wear-resistant surfaces in engineering applications.

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“…From equations (29) and (30), N + 2 equations may be obtained to find the N + 2 unknowns, which are g(r i ), i = 1, . .…”

Section: The Boundary Conditions and Siementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The effect of orthotropic material gradation on the plane sliding frictional contact mechanics problem

Yilmaz

Çömez

Güler

et al. 2019

The Journal of Strain Analysis for Engineering Design

View full text Add to dashboard Cite

show abstract

“…In previous studies, three kinds of methods including analytic, experimental, and numerical methods have been used for studying the contact responses of different kinds of dies. Jobin et al [7] presented pressure distribution of the interface for arbitrary profile. Due to its ability to analyze arbitrary-shaped contacts, it can be a powerful design tool for evaluating contact response due to different shapes and sizes of the indenter.…”

Section: Introductionmentioning

confidence: 99%

Investigating the Contact Responses of the Roller Cavity Surfaces in the Compressor Blade Rolling Process

Jin

Wang

Jiang

2020

Advances in Materials Science and Engineering

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The investigation of the contact responses is the key for evaluating the local wear of dies in the plastic forming process. This paper investigated the contact load distributions and evolutions of the roller cavities in the compressor blade rolling process by the FEM. It was the first study to quantify the distributions and evolutions of the contact responses for rolling irregular components. The results indicated that the maximum contact pressure is generally present at the center of the contact interfaces, and the magnitudes of contact pressure decreased with evolution of the blade rolling process. The rolling contact interfaces can be divided into the backward slip zone, the stick zone, and the forward slip zone based on the shear stress distributions. The stick zone was a narrow belt which separated the forward and the backward slip zone, and the shear stress in the stick zone was nearly zero. The shear stress magnitudes in the forward slip zone were smaller than those in the backward slip zone, and the directions of shear stress in forward and backward slip zones were adverse. The magnitudes of shear stress over the forward and backward slip zones decreased with evolution of the blade rolling process. The distributions of local sliding were in a V-shape, the local sliding in the stick zone was nearly zero, and the bigger sliding in backward and forward slip zones was present at the boundaries of rolling entrance and exit sections. The local sliding velocity magnitudes in the backward slip zones were always bigger than those in the forward slip zones, and the magnitudes of local sliding at the rolling entrance sections were bigger than those at the rolling exit sections. In general, the local sliding velocity magnitudes increased firstly and decreased sharply at 2T/3. The current paper develops the distributions and evolutions of contact responses in the blade rolling process. The contact responses can be used for studying the wear of roller cavities to avoid the accuracy inconsistency of the shaped blade.

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“…Jobin et al. 26 presented a simplified numerical method for analyzing 2D frictional contact involving arbitrary shaped rigid stamps and FGM coated surface. A multilayer model for the gradation of Young's modulus in coating with piecewise constant function and the pressure distribution was expressed as a modified cosine series.…”

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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A simplified analysis of 2D sliding frictional contact between rigid indenters and FGM coated substrates

Cited by 28 publications

References 16 publications

The effect of orthotropic material gradation on the plane sliding frictional contact mechanics problem

The effect of orthotropic material gradation on the plane sliding frictional contact mechanics problem

Investigating the Contact Responses of the Roller Cavity Surfaces in the Compressor Blade Rolling Process

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

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