Surface cracking in an orthotropic medium subjected to frictional contact

Sarikaya, Duygu; Dağ, Serkan

doi:10.1016/j.ijsolstr.2016.04.018

Cited by 11 publications

(6 citation statements)

References 17 publications

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“…Monfared and Ayatollahi examined the eleastodynamic problem of an orthotropic medium weakened by cracks using the distributed dislocation technique. Surface cracking problem of an orthotropic half plane and internal crack problem of a transversely isotropic layer are studied by Sarikaya and Dag and Patra et al., respectively.…”

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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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%

Mechanics of frictional contact for an arbitrary oriented orthotropic material

Çömez

Yilmaz

2019

Z Angew Math Mech

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“…Remaining orthotropic elastic properties are determined as follows 67 : Furthermore, following conditions should be satisfied for an orthotropic material 68 : The influence of material orthotropy on elastodynamic contact stresses are found by changing the elastic modulus ratios E x E y and E y E z . Prescribed ratios are 0.6, 1.0, 1.5, 3.0 and 6.0. These ratios are obtained by changing the nominator part while keeping denominator the same.…”

Section: Numerical Resultsmentioning

confidence: 99%

Dynamic frictional contact mechanics between a functionally graded orthotropic medium and a moving flat punch

Balcı

Arslan

2022

Proceedings of the Institution of Mechanical Engineers, Part J:

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The present study establishes a general theory for dynamic frictional contact mechanics between an orthotropic graded half-plane and a moving rigid punch of a flat profile. The rigid punch moves over the orthotropic graded half-plane at a constant subsonic speed. Analytical method is developed for the contact mechanics problem based on two-dimensional elastodynamics. Stresses in the orthotropic graded medium are determined considering plane elasticity. Governing partial differential equations are solved analytically by the use of Galilean and Fourier transformations. The unknown functions appearing in the displacement components are determined considering the surface boundary conditions. The mixed boundary value problem is then reduced to a singular integral equation of the second kind which is solved numerically using an appropriate expansion-collocation technique. The contact stress results of the present analytical study are compared to those generated through a finite element analysis regarding the elastostatic case. Moreover, the contact stress results obtained in the elastodynamic case are also verified using some analytical results available in the literature. Successful agreement is attained in all the comparative analyses. Normal contact stress, lateral contact stress and punch stress intensity factors are calculated for various values of punch speed, coefficient of friction, in-homogeneity constant and orthotropic elastic constants. Results of the present study clearly indicates that the utilization of elastodynamic theory is crucial to get more realizable and accurate estimations of contact stresses especially in high speed sliding conditions.

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“…However, these negative results are still useful and applicable in consideration of some problems including remote loading (Dag and Erdogan, 2002). Hence, in literature, negative K I results have been presented in parametric analysis of crack/contact problem solutions (Dag, 2001;Dag and Erdogan, 2002;Sarikaya and Dag, 2016).…”

Section: Numerical Resultsmentioning

confidence: 99%

“…An edge crack in a graded coating loaded by a flat rigid stamp was investigated by means of an uncoupled solution procedure based on the singular integral equation approach (Dag et al, 2012). Sarikaya and Dag (2016) analytically calculated fracture parameters of a surface crack in an orthotropic half-plane whose surface was exposed to sliding frictional contact loadings.…”

Section: Introductionmentioning

confidence: 99%

Inclined surface cracks in a graded half-plane subjected to frictional sliding contact

Arslan

2018

jtam

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Fracture parameters of an inclined surface crack in a graded half-plane subjected to sliding frictional contact are investigated in this study. The problem is modelled via the finite element method (FEM) under the plane strain assumption employing a newly developed displacement boundary condition. The shear modulus of the half-plane is graded exponentially through the thickness direction by means of the homogeneous finite element approach. The augmented Lagrange algorithm is selected as an iterative contact solver. The mixed mode stress intensity factors (SIFs) which are induced by the contact stresses are evaluated utilizing the Displacement Correlation Technique (DCT). The accuracy of the present procedure is ensured comparing the SIF results to those calculated by an analytical method for vertical surface cracks. Additional SIF curves are generated as functions of the crack inclination in order to reveal the effects of non-homogeneity, punch location, crack length and friction coefficient. The prominent conclusion of this study indicates that the crack orientation has profound effects on the behavior of SIF curves, which has not been presented in any study published so far. Hence, consideration of crack inclination is proved essential to successfully predict fracture behavior of a graded medium under frictional contact.

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Surface cracking in an orthotropic medium subjected to frictional contact

Cited by 11 publications

References 17 publications

Mechanics of frictional contact for an arbitrary oriented orthotropic material

Mechanics of frictional contact for an arbitrary oriented orthotropic material

Dynamic frictional contact mechanics between a functionally graded orthotropic medium and a moving flat punch

Inclined surface cracks in a graded half-plane subjected to frictional sliding contact

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