The frictional contact problem of sliding rigid parabolic stamps on graded materials

2006-10-18
GÜLER, MEHMET ALİ
Erdogan, F.
Dağ, Serkan
This study presents an analytical procedure to determine the contact stress distribution at the surface of an FGM coating perfectly bonded to a homogeneous substrate. The coating is assumed to be loaded by a rigid stamp of a semi-circular or circular profile. Using Fourier transformations, the contact mechanics problems are reduced to a singular integral equation of the second kind. Singular behavior of the unknown contact stress distribution at the end points is determined by following a function theoretic method. The singular integral equation is solved numerically using an expansion-col location technique. Main results of the study are the normal and lateral contact stress components and required contact forces as functions of material parameters. It is shown that a substrate that is softer than the FGM coating could be useful in decreasing the magnitude of the positive lateral stress at the trailing end of the contact.

Suggestions

The effect of different solvents on the performance of zeolite-filled composite pervaporation membranes
Sener, Tansel; Okumus, Emin; Gurkan, Turker; Yılmaz, Levent (2010-10-15)
The aim of this research is to study effect of different solvents on the membrane morphology and on the performance of zeolite-filled composite pervaporation membranes. PAN (polyacrylonitrile) was used as a base polymer and zeolite 13x (32 wt.%) was used as the filler. The solvents considered were DMF (dimethyl formamide), DMSO (dimethyl sulfoxide), DMAc (dimethyl acedamide) and THF (tetrahydrofuran). The cross-sectional morphology of manufactured membranes shows three layers: a zeolite-free polymer layer, ...
Mixed-mode stress intensity factors for an embedded crack in an orthotropic FGM coating
Dağ, Serkan; Erdogan, F. (2006-10-18)
Analytical and computational methods are developed to examine mixed-mode fracture behaviour of an orthotropic FGM coating bonded to a homogeneous substrate through a layer of a bond-coat. The coating is assumed to contain an embedded crack perpendicular to the direction of the material property gradation. First, an analytical solution is developed considering a perturbation problem. Using Fourier transform, the problem is reduced to a system of singular integral equations which are solved by means of an exp...
Contact mechanics of graded materials: Analyses using singular integral equations
Dağ, Serkan (2006-10-18)
Contact stress distribution at an FGM surface is evaluated using an analytical technique based on the singular integral equations. An FGM half-plane is assumed to be in sliding contact with a rigid stamp of an arbitrary profile. The functionally graded medium is assumed to possess two-dimensional material property variations. Two independent nonhomogeneity constants are used to derive the governing partial differential equations. By using the integral transform techniques, all boundary conditions are satisf...
Generalized finite differences for the solution of one dimensional elastic plastic problems of nonhomogeneous materials
Uygur, Pelin; Tokdemir, Turgut; Department of Engineering Sciences (2007)
In this thesis, the Generalized Finite Difference (GFD) method is applied to analyze the elastoplastic deformation behavior of a long functionally graded (FGM) tube subjected to internal pressure. First, the method is explained in detail by considering the elastic response of a rotating FGM tube. Then, the pressurized tube problem is treated. A long FGM tube with fixed ends (axially constrained ends) is taken into consideration. The two cases in which the modulus of elasticity only and both the modulus of e...
The Chemistry, Kinetics, and Potential Utilization of Different Origins of Bentonite Samples
Kök, Mustafa Verşan (2014-01-17)
In this research, different origins of bentonite samples (non-treated, treated, and test) were studied by x-ray diffraction, Fourier transform spectrophotometer, viscometer, and thermogravimetry. It was observed that the major clay minerals were smectite and montmorillonite. Different band intervals were studied by Fourier transform. The weight loss regions related to the dehydration and de-hydroxylation process were determined by thermogravimetry. Kinetic parameters of the bentonite samples were determined...
Citation Formats
M. A. GÜLER, F. Erdogan, and S. Dağ, “The frictional contact problem of sliding rigid parabolic stamps on graded materials,” 2006, vol. 973, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/53445.