Contact mechanics problem between an orthotropic graded coating and a rigid punch of an arbitrary profile

Date

2018-01-01

Author

ARSLAN, ONUR
Dağ, Serkan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

292
views

0
downloads

Singular integral equation (SIE) and finite element methods are developed for sliding contact analysis of a finite thickness orthotropic graded coating, which is perfectly bonded to an isotropic substrate. Orthotropic stiffness coefficients of the coating vary exponentially through the coating thickness. The coating is assumed to be loaded by a frictional rigid punch of an arbitrary profile. In the SIE formulation, governing partial differential equations are derived in accordance with the theory of plane elasticity. Applying Fourier transformation techniques, the problem is reduced to a singular integral equation of the second kind. Flat and triangular punch profiles are considered in the formulation. The integral equation is solved numerically through an expansion-collocation technique. Roots of Chebyshev polynomials of the first kind are employed as collocation points. The posed contact problem is also solved by means of the finite element method. The augmented Lagrange algorithm is applied in the iterative solution procedure. Comparisons of the contact stresses obtainedby singular integral equation and finite element methods demonstrate that the findings of these two separate techniques are in excellent agreement. Further numerical results are generated to be able to assess the influences of coefficient of friction, non-homogeneity constants, relative coating thickness, and degree of orthotropy upon the contact behavior of the coating-substrate system.

Subject Keywords

Mechanical Engineering, General Materials Science, Mechanics of Materials, Civil and Structural Engineering, Condensed Matter Physics

URI

https://hdl.handle.net/11511/35529

Journal

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES

DOI

https://doi.org/10.1016/j.ijmecsci.2017.12.017

Collections

Department of Mechanical Engineering, Article

Suggestions

OpenMETU
Core

Elastoplastic analysis of nonlinearly hardening variable thickness annular disks under external pressure Eraslan, Ahmet Nedim; Guven, U (Elsevier BV, 2005-05-01) Based on von Mises' yield criterion, deformation theory of plasticity and Swift's hardening law, elasto-plastic deformation of variable thickness annular disks subjected to external pressure is studied. A nonlinear shooting method using Newton's iterations with numerically approximated tangent is designed for the solution of the problem. Considering a thickness profile in the form of a general parabolic function, the condition of occurrence of plastic deformation at the inner and outer edges of the annular ...
Thermoplastic response of a linearly hardening cylinder subjected to nonuniform heat source and convective boundary condition Eraslan, Ahmet Nedim (Informa UK Limited, 2004-05-01) An analytical model based on Tresca's yield criterion and its L associated flow rule is developed to analyze the thermoelastoplastic response of a linearly hardening cylinder subjected to a nonuniform heat source and convective heat transfer condition at the external boundary. Closed form solutions are obtained for a state of generalized plane strain in different stages of elastic-plastic deformation. Considering a cylinder that is constrained axially, the plastic deformation commences at the axis and depen...
Stress distributions in energy generating two-layer tubes subjected to free and radially constrained boundary conditions Eraslan, Ahmet Nedim; Argeso, H (Elsevier BV, 2003-03-01) Analytical solutions are obtained for thermally induced axisymmetric elastic and elastic-plastic deformations in heat generating composite tubes having a free inner and a radially constrained outer boundaries. Tresca's yield condition and its associated flow rule are used to determine the elastic-plastic response of the assembly. Depending on the physical properties of the materials used, eight different plastic regions with different mathematical forms of the yield condition may occur in the assembly. The ...
Mechanical behaviour of Al2O3-ZrO2 minicomposite reinforced glass matrix optomechanical composite Dericioğlu, Arcan Fehmi (Informa UK Limited, 2003-08-01) To understand the effect of a 'mesh-structured reinforcement' on the optical and mechanical properties of optomechanical composites, a unidirectional Al2O3 fibre-ZrO2 matrix minicomposite reinforced glass matrix optomechanical composite has been fabricated. By regular alignment of the minicomposites in the glass matrix as part of the 'mesh structure' a high degree of optical transparency is obtained in the composite; this transparency is proportional to its 'optical window' regions. The mesh structured rein...
Flow transitions and flow localization in large-strain deformation of magnesium alloy Sagapuram, Dinakar; Efe, Mert; Trumble, Kevin P.; Chandrasekar, Srinivasan (Elsevier BV, 2016-04-06) Understanding transitions from homogeneous to localized flow, and mechanisms underlying flow localization, is of paramount importance for deformation processing of magnesium. In this study, a shear based deformation method is utilized for imposing large strains (similar to 1), under controllable strain rates (10-10(5)/s) and temperatures (80-300 degrees C), in order to examine flow patterns in a magnesium alloy. Based on microstructure characterization, deformation twinning is suggested to contribute to the...

Citation Formats

O. ARSLAN and S. Dağ, “Contact mechanics problem between an orthotropic graded coating and a rigid punch of an arbitrary profile,” INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, pp. 541–554, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35529.