Moving contact problems involving a rigid punch and a functionally graded coating

Balcı, Mehmet N.; Dağ, Serkan

doi:10.1016/j.apm.2020.01.004

Cited by 21 publications

(18 citation statements)

References 55 publications

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“…The comparisons are generated considering the numerical results obtained by Balci and Dag, 28 who examined moving contact problems involving exponentially and proportionally graded materials. The problem solved by Balci and Dag 28 consists of a single FGM coating bonded to a homogeneous substrate. The composite body is assumed to be in a state of plane strain.…”

Section: Numerical Resultsmentioning

confidence: 99%

Multi-layer model for moving contact problems of functionally graded coatings with general variations in physical properties

Toktaş

Dağ

2022

Proceedings of the Institution of Mechanical Engineers, Part L:

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This paper presents a multi-layer model for moving contact problems of functionally graded coatings whose physical properties have general spatial variations. The coating is assumed to be composed of an arbitrary number of layers and perfectly bonded to an elastic substrate. Wave equations for the layers and the substrate are derived in accordance with the plane theory of elastodynamics. The equations are solved by the application of Galilean and Fourier transformations. Flat and triangular punch profiles are considered, and the formulation is reduced to a singular integral equation of the second kind in both cases. The integral equations are solved by means of Jacobi expansion and collocation techniques. Proposed procedures are verified through comparisons to the results available for a special case in the literature. Parametric analyses are carried out for functionally graded coatings possessing ceramic-rich, metal-rich, and linear profiles. The results presented demonstrate the influences of factors such as punch speed, coefficient of friction, material property variation profile, and contact-length-to-thickness ratio on contact stresses, punch stress intensity factors, and required contact force. It is shown that the multi-layer model is required to account for general property distributions in a functionally graded coating subject to moving contact.

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Section: Numerical Resultsmentioning

confidence: 99%

Multi-layer model for moving contact problems of functionally graded coatings with general variations in physical properties

Toktaş

Dağ

2022

Proceedings of the Institution of Mechanical Engineers, Part L:

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“…In the previous study carried out by Çömez [67], moving contact problem of a finite-thickness FGM layer was analyzed, but contact surface was frictionless and punch had no singular ends. On the other hand, proposed model is different from those considered in Refs [65,66] since they were FGM coating/homogenous substrate contact models. Moreover, modeling frictional flat and semicircular punches for FGM layer/rigid foundation in moving case are new in the literature.…”

Section: Problem Description and The Formulationmentioning

confidence: 93%

“…xy Note that the inhomogeneity parameter for the mass density is assumed equal to that for the shear modulus [65][66][67]70]. Hence, mass density is expressed as:…”

Section: Problem Description and The Formulationmentioning

confidence: 99%

“…Balci and Dag [63,64] investigated frictional elastodynamic contact problem of homogenous elastic coatings perfectly bonded to homogenous substrates. Balci and Dag [65,66] later examined the frictional dynamic contact problems between a moving punch and FGM coating/homogenous substrate system. Çömez [67] obtained an analytical solution to the frictionless contact problem between a rigid moving cylindrical punch and a graded layer.…”

Section: Introductionmentioning

confidence: 99%

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The effect of punch speed on frictional contact mechanics of finite-thickness graded layer resting on the rigid foundation

Balcı

2020

J Braz. Soc. Mech. Sci. Eng.

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The present article investigates frictional contact mechanics between a moving punch possessing sharp ends and a finitethickness functionally graded layer resting on the rigid foundation. The rigid punch has either flat or semi-circular profiles, and it moves over the functionally graded layer at a steady subsonic speed. The tangential load developed by the moving punch is proportional to the normal applied load since Coulomb's friction law is adopted. Variations of shear modulus and mass density through the thickness of the layer are expressed by exponential functions, whereas the variation of the Poisson's ratio is neglected. Governing partial differential equations are derived considering two-dimensional theory of elastodynamics, and these equations are solved analytically utilizing Galilean and Fourier transformations. Equations are reduced to a singular integral equation of the second kind. Singular integral equation is solved, and results of analytical approach are compared with those obtained by means of the finite element method in elastostatic case. A very good agreement is achieved between analytical and computational results. Parametric analyses are performed to observe the influences of punch speed, material inhomogeneity and coefficient of friction upon contact stresses of a finite-thickness graded layer resting on the rigid foundation. Stresses observed for relatively thin softening layers are much sensitive to the variation in punch speed.

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“…Choi [20] determined the contact stress distributions on the graded elastic layer subjected to sliding frictional contact by a flat punch. Balci and Dag [21,22] examined dynamic contact mechanics of FGM coating/homogenous substrate system under the effect of moving frictional punch.…”

Section: Introductionmentioning

confidence: 99%

Implementation of Dahl’s dynamic friction model to contact mechanics of elastic solids

Balcı

2021

SN Appl. Sci.

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This study presents an analytical method for the solution of dynamic frictional contact problem between a rigid punch and an isotropic elastic solid. Rigid flat punch moves over the isotropic elastic solid at a constant subsonic speed and friction force develops based on Dahl’s friction law instead of Coulomb’s dry friction law. Dahl’s dynamic friction model is adopted since this model is one of the well-known dynamic friction models in the literature. According to this model, friction force depends only on a displacement rather than the speed of the punch since viscous effects are ignored. Influences of the parameters describing Dahl’s friction model on contact stress at slow and high speed sliding cases are examined. Analytical solution is conducted by means of Galilean and Fourier transformations. Friction force is computed numerically by the use of 4th order Runge–Kutta method for various displacements of the punch. Formulation for the contact problem is reduced to a singular integral equation and normal stress over the surface of elastic half-plane is determined. Obtained contact stresses are compared with those generated through finite element method and results display a high degree of accuracy. The influences of direction of motion, Coulomb’s coefficient of friction, pre-sliding displacement, asperity stiffness and shape factor of hysteresis loop upon contact stresses and stress intensity factors are revealed.

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Moving contact problems involving a rigid punch and a functionally graded coating

Cited by 21 publications

References 55 publications

Multi-layer model for moving contact problems of functionally graded coatings with general variations in physical properties

Multi-layer model for moving contact problems of functionally graded coatings with general variations in physical properties

The effect of punch speed on frictional contact mechanics of finite-thickness graded layer resting on the rigid foundation

Implementation of Dahl’s dynamic friction model to contact mechanics of elastic solids

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