Thermoelastic contact mechanics for a flat punch sliding over a graded coating/substrate system with frictional heat generation

The problem of thermoelastic contact mechanics for the coating/substrate system with functionally graded properties is investigated, where the rigid flat punch is assumed to slide over the surface of the coating involving frictional heat generation. With the coefficient of friction being constant, the inertia effects are neglected and the solution is obtained within the framework of steady-state plane thermoelasticity. The graded material exists as a nonhomogeneous interlayer between dissimilar, homogeneous phases of the coating/substrate system or as a nonhomogeneous coating deposited on the substrate. The material nonhomogeneity is represented by spatially varying thermoelastic moduli expressed in terms of exponential functions. The Fourier integral transform method is employed and the formulation of the current thermoelastic contact problem is reduced to a Cauchy-type singular integral equation of the second kind for the unknown contact pressure. Numerical results include the distributions of the contact pressure and the in-plane component of the surface stress under the prescribed thermoelastic environment for various combinations of geometric, loading, and material parameters of the coated medium. Moreover, in order to quantify and characterize the singular behavior of contact pressure distributions at the edges of the flat punch, the stress intensity factors are defined and evaluated in terms of the solution to the governing integral equation.

[1]  L. Ke,et al.  Two-dimensional contact mechanics of functionally graded materials with arbitrary spatial variations of material properties , 2006 .

[2]  R. Kulchytsky-zhyhailo,et al.  Approximate method for analysis of the contact temperature and pressure due to frictional load in an elastic layered medium , 1998 .

[3]  James Barber.  THERMOELASTIC CONTACT PROBLEMS. , 1975 .

[4]  A. Kawasaki,et al.  Functionally graded materials : design, processing and applications , 1999 .

[5]  Subra Suresh,et al.  Spherical indentation of compositionally graded materials: Theory and experiments , 1997 .

[6]  James Barber.  SOME THERMOELASTIC CONTACT PROBLEMS INVOLVING FRICTIONAL HEATING , 1976 .

[7]  V. Levytskyi,et al.  Plane contact problem with heat generation account of friction , 1996 .

[8]  A. Giannakopoulos,et al.  Indentation of solids with gradients in elastic properties: Part II. Axisymmetric indentors , 1997 .

[9]  F. Erdogan,et al.  The frictional sliding contact problems of rigid parabolic and cylindrical stamps on graded coatings , 2007 .

[10]  F. Erdogan,et al.  A surface crack in a graded medium loaded by a sliding rigid stamp , 2002 .

[11]  D. Hills,et al.  Steady motion of an insulating rigid flat-ended punch over a thermally conducting half-plane☆ , 1985 .

[12]  L. Freund,et al.  Mechanics and Physics of Layered and Graded Materials , 1995 .

[13]  S. Suresh,et al.  Graded Materials for Resistance to Contact Deformation and Damage , 2001, Science.

[14]  David A. Hills,et al.  Mechanics of elastic contacts , 1993 .

[15]  Effect of Material Properties in Certain Thermoelastic Contact Problems , 1998 .

[16]  M. Peters,et al.  Graded coatings for thermal, wear and corrosion barriers , 2003 .

[17]  Philip Rabinowitz,et al.  Methods of Numerical Integration , 1985 .

[18]  Subra Suresh,et al.  Engineering the resistance to sliding-contact damage through controlled gradients in elastic properties at contact surfaces , 1999 .

[19]  R. Kulchytsky-zhyhailo,et al.  Determination of limiting Radii of the contact area in axi-symmetric contact problems with frictional heat generation , 1995 .

[20]  Bhushan Lal Karihaloo,et al.  Comprehensive structural integrity: 10 volume set , 2003 .

[21]  L. Ke,et al.  Two-dimensional sliding frictional contact of functionally graded materials , 2007 .

[22]  R. Kulchytsky-zhyhailo.  A simplified solution for three-dimensional contact problem with heat generation , 2001 .

[23]  Subra Suresh,et al.  Hertzian-crack suppression in ceramics with elastic-modulus-graded surfaces , 2005 .

[24]  A. Giannakopoulos,et al.  Two-dimensional contact analysis of elastic graded materials , 2000 .

[25]  Glaucio H. Paulino,et al.  Stress-intensity factors for surface cracks in functionally graded materials under mode-I thermomechanical loading , 2004 .

[26]  F. Erdogan,et al.  Contact mechanics of two deformable elastic solids with graded coatings , 2006 .

[27]  Yan Liu,et al.  Finite element analysis of the initial yielding behavior of a hard coating/substrate system with functionally graded interface under indentation and friction , 2000 .

[28]  J. L. Nowinski,et al.  Theory of thermoelasticity with applications , 1978 .

[29]  Thermal Distortion of an Anisotropic Elastic Half-Plane and its Application in Contact Problems Including Frictional Heating , 2006 .

[30]  G. Gladwell.  Contact Problems in the Classical Theory of Elasticity , 1980 .

[31]  T. Fujimoto,et al.  Influence of the Compositional Profile of Functionally Graded Material on the Crack Path under Thermal Shock , 2004 .

[32]  A. Giannakopoulos,et al.  Indentation of solids with gradients in elastic properties: Part I. Point force , 1997 .

[33]  H. Choi.  THERMOELASTIC PROBLEM OF STEADY-STATE HEAT FLOW DISTURBED BY A CRACK PERPENDICULAR TO THE GRADED INTERFACIAL ZONE IN BONDED MATERIALS , 2003 .

[34]  J. Barbera,et al.  Contact mechanics , 1999 .

[35]  L. Keer,et al.  A receding contact plane problem between a functionally graded layer and a homogeneous substrate , 2006 .

[36]  L. Bahar.  Transfer Matrix Approach to Layered Systems , 1972 .

[37]  F. Smithies,et al.  Singular Integral Equations , 1977 .

[38]  F. Erdogan,et al.  Mixed boundary value problems in mechanics , 1978 .

[39]  F. Erdogan,et al.  Contact mechanics of graded coatings , 2004 .