Thermoelastic contact between a functionally graded elastic cylindrical punch and a half-space involving frictional heating

2012 ◽  
Vol 76 (1) ◽  
pp. 123-138 ◽  
Author(s):  
S. P. Barik ◽  
P. K. Chaudhuri
Keyword(s):  
Half Space ◽  
Frictional Heating ◽  
Functionally Graded ◽  
Thermoelastic Contact ◽  
Cylindrical Punch

Thermoelastic Contact Analysis of Functionally Graded Materials with Properties Varying Exponentially

2011 ◽  
Vol 189-193 ◽  
pp. 988-992 ◽  
Author(s):  
Jing Liu ◽  
Liao Liang Ke ◽  
Yue Sheng Wang
Keyword(s):  
Friction Coefficient ◽  
Contact Pressure ◽  
Functionally Graded Materials ◽  
Peclet Number ◽  
Frictional Heating ◽  
Functionally Graded ◽  
Gradient Index ◽  
Graded Materials ◽  
Péclet Number ◽  
Thermoelastic Contact

The two-dimensional thermoelastic sliding frictional contact of the functionally graded materials (FGMs) coated half-plane under plain strain-state deformation is investigated in this paper. A rigid cylindrical punch is sliding over the surface of the FGM coating with the constant velocity, which is small compared with the Rayleigh wave velocity of the medium. Frictional heating is generated at the interface between the punch and FGM coating with its value proportional to contact pressure, friction coefficient and sliding velocity. The material properties of the coating change exponentially along the thickness direction. It is assumed that the area outside the contact region is both thermally insulated and traction-free. The Fourier integral transform method is employed to convert the problem into the Cauchy singular integral equations, which is then solved numerically to obtain the unknown contact pressure and the in-plane component of the surface stress. The effects of the gradient index, Peclet number, and friction coefficient on the thermoelastic contact characteristics are discussed in detail. Numerical results show that the change of the gradient index, Peclet number and friction coefficient can influence the distributions of the surface contact stress.

scholarly journals Group and Phase Velocity of Love Waves Propagating in Elastic Functionally Graded Materials

2015 ◽  
Vol 40 (2) ◽  
pp. 273-281 ◽  
Author(s):  
Piotr Kiełczyński ◽  
Marek Szalewski ◽  
Andrzej Balcerzak ◽  
Krzysztof Wieja
Keyword(s):  
Group Velocity ◽  
Half Space ◽  
Functionally Graded Materials ◽  
Integral Formula ◽  
Liouville Problem ◽  
Elastic Half Space ◽  
Functionally Graded ◽  
Love Waves ◽  
Graded Materials ◽  
Sturm Liouville

AbstractThis paper presents a theoretical study of the propagation behaviour of surface Love waves in nonhomogeneous functionally graded elastic materials, which is a vital problem in acoustics. The elastic properties (shear modulus) of a semi-infinite elastic half-space vary monotonically with the depth (distance from the surface of the material). Two Love wave waveguide structures are analyzed: 1) a nonhomogeneous elastic surface layer deposited on a homogeneous elastic substrate, and 2) a semi-infinite nonhomogeneous elastic half-space. The Direct Sturm-Liouville Problem that describes the propagation of Love waves in nonhomogeneous elastic functionally graded materials is formulated and solved 1) analytically in the case of the step profile, exponential profile and 1cosh2type profile, and 2) numerically in the case of the power type profiles (i.e. linear and quadratic), by using two numerical methods: i.e. a) Finite Difference Method, and b) Haskell-Thompson Transfer Matrix Method.The dispersion curves of phase and group velocity of surface Love waves in inhomogeneous elastic graded materials are evaluated. The integral formula for the group velocity of Love waves in nonhomogeneous elastic graded materials has been established. The results obtained in this paper can give a deeper insight into the nature of Love waves propagation in elastic nonhomogeneous functionally graded materials.

A thermoelastic contact model between a sliding ball and a stationary half space distributed with spherical inhomogeneities

2019 ◽  
Vol 131 ◽  
pp. 33-44 ◽  
Author(s):  
Wanyou Yang ◽  
Qinghua Zhou ◽  
Yanyan Huang ◽  
Jiaxu Wang ◽  
Xiaoqing Jin ◽  
...  
Keyword(s):  
Half Space ◽  
Contact Model ◽  
Thermoelastic Contact

Indentation of a Transversely Isotropic Thermoporoelastic Half-Space by a Rigid Circular Cylindrical Punch

2017 ◽  
Vol 84 (11) ◽  
Author(s):  
Yilan Huang ◽  
Guozhan Xia ◽  
Weiqiu Chen ◽  
Xiangyu Li
Keyword(s):  
Half Space ◽  
Original Problem ◽  
Three Dimensional ◽  
Transversely Isotropic ◽  
The Finite Element Method ◽  
Thermal Fields ◽  
Cylindrical Punch ◽  
The One ◽  
Physical Quantities ◽  
Potential Theory Method

Exact solutions to the three-dimensional (3D) contact problem of a rigid flat-ended circular cylindrical indenter punching onto a transversely isotropic thermoporoelastic half-space are presented. The couplings among the elastic, hydrostatic, and thermal fields are considered, and two different sets of boundary conditions are formulated for two different cases. We use a concise general solution to represent all the field variables in terms of potential functions and transform the original problem to the one that is mathematically expressed by integral (or integro-differential) equations. The potential theory method is extended and applied to exactly solve these integral equations. As a consequence, all the physical quantities of the coupling fields are derived analytically. To validate the analytical solutions, we also simulate the contact behavior by using the finite element method (FEM). An excellent agreement between the analytical predictions and the numerical simulations is obtained. Further attention is also paid to the discussion on the obtained results. The present solutions can be used as a theoretical reference when practically applying microscale image formation techniques such as thermal scanning probe microscopy (SPM) and electrochemical strain microscopy (ESM).

Love Wave in an Isotropic Half-Space with a Graded Layer

2013 ◽  
Vol 325-326 ◽  
pp. 252-255
Author(s):  
Li Gang Zhang ◽  
Hong Zhu ◽  
Hong Biao Xie ◽  
Jian Wang
Keyword(s):  
Shear Modulus ◽  
Half Space ◽  
Analytical Solutions ◽  
Love Wave ◽  
Elastic Half Space ◽  
Functionally Graded ◽  
Thickness Direction ◽  
Vibration Model ◽  
General Dispersion ◽  
Functionally Graded Layer

This work addresses the dispersion of Love wave in an isotropic homogeneous elastic half-space covered with a functionally graded layer. First, the general dispersion equations are given. Then, the approximation analytical solutions of displacement, stress and the general dispersion relations of Love wave in both media are derived by the WKBJ approximation method. The solutions are checked against numerical calculations taking an example of functionally graded layer with exponentially varying shear modulus and density along the thickness direction. The dispersion curves obtained show that a cut-off frequency arises in the lowest order vibration model.

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