Fracture Mechanics and Contact Problems in Materials Involving Graded Coatings and Interfacial Zones

Erdogan, Fazil

doi:10.21236/ada387409

Cited by 2 publications

(3 citation statements)

References 13 publications

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“…x x are the principal axes of orthotropy which are parallel and perpendicular to the boundary [42,43]. It is assumed that the coefficient of static friction is constant within the contact area.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

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Analytical solution of the frictional contact problem of asemi-circular punch sliding over a homogeneous orthotropic half-plane

Küçüksucu

Güler

2016

Hittite J. Sci. Eng.

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C ontact mechanics problems in isotropic materials gained a great deal of interest and commonly investigated throughout the twentieth century. Orthotropic materials have been utilized both in structural design and engineering applications such as ceramic matrix composites [1]. These materials gained popularity in the last two decades and mainly projected to be used in the aerospace industry as fiber metal laminates in the structure of aircrafts and in the components of gas turbine engines [2]. For example, Tyrannohex is a high strength ceramic material containing properties of other orthotropic materials and it is utilized in the gas turbine components [3].The studies in the theory of contact mechanics dates back to Lord Kelvin [4] who solved the problem of a force applied at a point in an isotropic infinite medium using Green's functions [5]. Then Lamé [6] further improved Lord Kelvin 's solution with superimposed stresses in a spherical container. Boussinesq [7], provided the solution of a normal force applied to the boundary of an isotropic semi-infinite solid using Green's functions and Kelvin's method. Almost at the same time Hertz [8] solved the problem involving contact between two elastic bodies with curved surfaces and postulated his famous assumptions about contact mechanics. Cerruti [9]

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Section: Formulation Of the Problemmentioning

confidence: 99%

“…The singular integral equation of the sliding contact problem can be written as [37,43],…”

Section: Integral Equation Of the Problemmentioning

confidence: 99%

Analytical solution of the frictional contact problem of asemi-circular punch sliding over a homogeneous orthotropic half-plane

Küçüksucu

Güler

2016

Hittite J. Sci. Eng.

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“…1, sliding over an elastic orthotropic halfspace. The coordinate system is intentionally selected in such a way that the principal directions of orthotropy are aligned with the 1 2 ( , ), x x coordinate system [41,42] , , E E E , 3 shear moduli, 12 13 23 , , G G G and 3 Poison's ratios, 12 13 23 , , ν ν ν ). The compliance matrix for orthotropic materials can be written as…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Closed-Form Solution of the Frictional Sliding Contact Problem for an Orthotropic Elastic Half-Plane Indented by a Wedge-Shaped Punch

Küçüksucu

Güler

Avcı

2014

KEM

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In this paper, the frictional contact problem of a homogeneous orthotropic material in contact with a wedge-shaped punch is considered. Materials can behave anisotropically depending on the nature of the processing techniques; hence it is necessary to develop an efficient method to solve the contact problems for orthotropic materials. The aim of this work is to develop a solution method for the contact mechanics problems arising from a rigid wedge-shaped punch sliding over a homogeneous orthotropic half-plane. In the formulation of the plane contact problem, it is assumed that the principal axes of orthotropy are parallel and perpendicular to the contact. Four independent engineering constants , , , are replaced by a stiffness parameter, , a stiffness ratio, a shear parameter, , and an effective Poisson’s ratio, . The corresponding mixed boundary problem is reduced to a singular integral equation using Fourier transform and solved analytically. In the parametric analysis, the effects of the material orthotropy parameters and the coefficient of friction on the contact stress distributions are investigated.

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Fracture Mechanics and Contact Problems in Materials Involving Graded Coatings and Interfacial Zones

Cited by 2 publications

References 13 publications

Analytical solution of the frictional contact problem of asemi-circular punch sliding over a homogeneous orthotropic half-plane

Analytical solution of the frictional contact problem of asemi-circular punch sliding over a homogeneous orthotropic half-plane

Closed-Form Solution of the Frictional Sliding Contact Problem for an Orthotropic Elastic Half-Plane Indented by a Wedge-Shaped Punch

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