A frictional receding contact plane problem between a functionally graded layer and a homogeneous substrate

El-Borgi, Sami; Usman, Shameem; Güler, Mehmet Ali

doi:10.1016/j.ijsolstr.2014.09.017

Cited by 53 publications

(14 citation statements)

References 30 publications

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“…Rhimi et al [15] and Rhimi et al [16] considered the axisymmetric receding contact problem between an FG layer and a homogeneous layer using Hankel transform. The frictional receding contact problems of an FG layer resting on a homogeneous substrate are investigated by El-Borgi et al [17] and El-Borgi and Çömez [18] using the Fourier transformation technique. The frictionless receding contact problem of a homogeneous layer or bilayer resting on a homogeneous substrate or a layer is examined by Çömez et al [19], Kahya et al [20] Adibelli et al [21].…”

Section: Introductionmentioning

confidence: 99%

Frictionless contact problem between a rigid moving punch and a homogeneous layer resting on a Winkler foundation

Çömez¹,

Yılmaz²,

Güler³

et al. 2019

JSEAM

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In this paper, the moving contact problem between the punch and a layer supported by a Winkler type foundation is considered under plane strain conditions. The cylindrical punch moves smoothly with constant velocity over the homogeneous layer. With the use of Galilean transformation and Fourier integral transform, the plane contact problem is converted into a Cauchy type singular integral equation. The singular integral equation is solved numerically by performing the appropriate collocation method, and the contact width, the contact and in-plane stresses are calculated. The results show that the stiffness of the Winkler foundation and the moving velocity have a significant effect on the contact width and the behavior of the stress field.

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Section: Introductionmentioning

confidence: 99%

Frictionless contact problem between a rigid moving punch and a homogeneous layer resting on a Winkler foundation

Çömez¹,

Yılmaz²,

Güler³

et al. 2019

JSEAM

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“…The plane problem of a frictional receding contact formed between an elastic functionally graded layer and a homogeneous half space, when they were pressed against each other, was investigated by El-Borgi et.al. [28]. Adiyaman et.…”

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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“…Various types of contact problems are discussed in books and journals, e.g. Kit et al [14]; Ke et al [15,16,17,18]; Nowacki [19]; Birinci et al [20]; El-borgi et al [21,22]; Patra et al [23,24]; Jing et al [25]; Yan et al [26]; Adiyaman et al [27], Jie et al [28], Giannakopoulos and Suresh [29,30], Suresh [31].…”

Section: Introductionmentioning

confidence: 99%

Frictionless Contact Between a Rigid Indentor and a Transversely Isotropic Functionally Graded Layer

Patra¹,

Barik

Chaudhuri

2018

International Journal of Applied Mechanics and Engineering

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This article is concerned with the study of frictionless contact between a rigid punch and a transversely isotropic functionally graded layer. The rigid punch is assumed to be axially symmetric and is supposed to be pressing the layer by an applied concentrated load. The layer is resting on a rigid base and is assumed to be sufficiently thick in comparison with the amount of indentation by the rigid punch. The graded layer is modeled as a non-homogeneous medium. The relationship between the applied load P and the contact area is obtained by solving the mathematically formulated problem through using the Hankel transform of different order. Numerical results have been presented to assess the effects of functional grading of the medium and the applied load on the stress distribution in the layer as well as on the relationship between the applied load and the area of contact.

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A frictional receding contact plane problem between a functionally graded layer and a homogeneous substrate

Cited by 53 publications

References 30 publications

Frictionless contact problem between a rigid moving punch and a homogeneous layer resting on a Winkler foundation

Frictionless contact problem between a rigid moving punch and a homogeneous layer resting on a Winkler foundation

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

Frictionless Contact Between a Rigid Indentor and a Transversely Isotropic Functionally Graded Layer

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