Abstract
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.
Highlights
A new class of composite materials with non-homogeneous spatial distribution of properties has emerged in recent years in the field of materials science [1]
The studies concerning the effect of material non-homogeneity on thermal instability in brakes have shown that an functionally graded materials (FGMs) disc reduces the susceptibility towards thermoelastic instability (TEI) by increasing the critical speed of sliding [8,20,27]
At a certain moment of time, the temperature of the friction surface increases with a decrease in the material gradient parameter, approaching the temperature values obtained for a friction pair made of homogeneous materials
Summary
A new class of composite materials with non-homogeneous spatial distribution of properties has emerged in recent years in the field of materials science [1]. The same technique has been applied to solve the steady axisymmetric boundary problem of thermoelasticity for non-homogeneous semi-space with thermomechanical properties that depend exponentially on the distance from the heated surface [26] This approach can be used for modeling layered composites with stepwise gradation of the properties, and for approximate modeling of the materials with a functional change in properties. The multi-layered model has been developed for analysis of the two-dimensional sliding frictional contact problem with a functionally graded coating [28] This model has been used to solve the transient heat conduction and thermal stress problems for the FGM plate taking into consideration temperature-dependent material properties [17]. The studies concerning the effect of material non-homogeneity on thermal instability in brakes have shown that an FGM disc reduces the susceptibility towards TEI by increasing the critical speed of sliding [8,20,27]
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