The Effect of Functionally Graded Materials on Temperature during Frictional Heating: Under Uniform Sliding

Aleksander Yevtushenko; Katarzyna Topczewska; Przemysław Zamojski

doi:10.3390/ma14154285

The Effect of Functionally Graded Materials on Temperature during Frictional Heating: Under Uniform Sliding

Materials ◽

10.3390/ma14154285 ◽

2021 ◽

Vol 14 (15) ◽

pp. 4285

Author(s):

Aleksander Yevtushenko ◽

Katarzyna Topczewska ◽

Przemysław Zamojski

Keyword(s):

Mathematical Model ◽

Functionally Graded Materials ◽

Frictional Heating ◽

Ceramic Materials ◽

Functionally Graded ◽

Heating Process ◽

Spatial Distributions ◽

Graded Materials ◽

Exponential Change ◽

The Mathematical Model

The mathematical model of heating process for a friction system made of functionally graded materials (FGMs) was proposed. For this purpose, the boundary-value problem of heat conduction was formulated for two semi-spaces under uniform sliding taking into consideration heating due to friction. Assuming an exponential change in thermal conductivities of the materials, the exact, as well as asymptotic (for small values of time), solutions to this problem were obtained. A numerical analysis was performed for two elements made of ZrO2–Ti-6Al-4V and Al3O2–TiC composites. The influence of the gradient parameters of both materials on the evolution and spatial distributions of the temperature were investigated. The temperatures of the elements made of FGMs were compared with the temperatures found for the homogeneous ceramic materials.

Download Full-text

Two-dimensional thermoelastic contact problem of functionally graded materials involving frictional heating

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2011.05.003 ◽

2011 ◽

Vol 48 (18) ◽

pp. 2536-2548 ◽

Cited By ~ 41

Author(s):

Jing Liu ◽

Liao-Liang Ke ◽

Yue-Sheng Wang

Keyword(s):

Contact Problem ◽

Functionally Graded Materials ◽

Frictional Heating ◽

Functionally Graded ◽

Two Dimensional ◽

Graded Materials ◽

Thermoelastic Contact ◽

Thermoelastic Contact Problem

Download Full-text

A Mathematical Model of Functionally Graded Materials Thin Plates and Levy Solutions

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.740.574 ◽

2013 ◽

Vol 740 ◽

pp. 574-577

Author(s):

Ming Lu Wang

Keyword(s):

Mathematical Model ◽

Rectangular Plate ◽

Thin Plate ◽

Functionally Graded Materials ◽

Governing Equation ◽

Functionally Graded ◽

Thin Plates ◽

Graded Materials ◽

Simply Supported ◽

Static Responses

The governing equation of elastic FGM thin plates was obtained by degenerating the governing equation of viscoelastic FGM thin plates. A Levy solution of a simply supported FGM rectangular plate was gotten. Based on the Levy solution, the influence of considering and ignoring mid-plane stain, due to the inhomogeneous property of the functionally graded materials, on the static responses of the functionally graded materials thin plate is investigated.

Download Full-text

Bending of Thermoviscoelastic Functionally Graded Materials Beams

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.503-504.305 ◽

2012 ◽

Vol 503-504 ◽

pp. 305-308

Author(s):

Ming Lu Wang ◽

Gao Feng Wei

Keyword(s):

Mathematical Model ◽

Variational Principle ◽

Laplace Transformation ◽

Transformation Method ◽

Functionally Graded ◽

Plane Section ◽

Graded Materials ◽

Set Up ◽

The Mathematical Model ◽

Laplace Transformation Method

According to the constitutive relation of linear thermovisoelasticity, with the help of Laplace transformation method and the introduction of structure functions and thermal functions, the mathematical model and its corresponding variational principle for thermoviscoelastic FGM beams are set up on the basis of the assumption that plane section remains plane and normal to the beam axis. Using Laplace transformation method, the deflection and the stress distribution are discussed.

Download Full-text

Characterization of Composites Based on 316 Stainless Steel and Zirconia for Use as Functionally Graded Materials

Materials Science Forum ◽

10.4028/www.scientific.net/msf.802.120 ◽

2014 ◽

Vol 802 ◽

pp. 120-124 ◽

Cited By ~ 1

Author(s):

Vera Lúcia Arantes ◽

Leonardo Grajales Agudelo ◽

Pedro Luiz di Lorenzo

Keyword(s):

Stainless Steel ◽

Functionally Graded Materials ◽

Cutting Tools ◽

Ceramic Materials ◽

Functionally Graded ◽

Mechanical Resistance ◽

Graded Materials ◽

316 Stainless Steel ◽

Ceramic Components

Functionally graded materials (FGM) based on stainless steel and ceramic materials have inspired researchers to combine properties and features which are not present in conventional composites, and are considered to be an alternative in the production of motors parts, cutting tools and coatings for reactors. The addition of metal and ceramic in a graded structure allows the integration of distinct properties that combine advantages of metallic and ceramic materials. Ceramic components withstand high temperatures and present high corrosion resistance, while metallic ones provide higher mechanical resistance, in particular ultimate tensile strength and fracture toughness. In this work, composites with variable levels of 316 Stainless Steel and Ytria-stabilized Zirconia, were prepared and characterized, in order to determine the thermal behavior of each composition, aiming the optimization of sintering of pieces with chemical composition gradation.

Download Full-text

Thermoelastic Contact Analysis of Functionally Graded Materials with Properties Varying Exponentially

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.189-193.988 ◽

2011 ◽

Vol 189-193 ◽

pp. 988-992 ◽

Cited By ~ 6

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.

Download Full-text