EVALUATION OF THE STRESS-STRAIN STATE OF INTERACTING SURFACE LAYERS USING ELASTICITY THEORY METHODS UNDER FRICTION AND WEAR CONDITIONS
DOI:
https://doi.org/10.18372/0370-2197.1(110).20933Keywords:
friction, wear, elasticity, brittleness, creep, Young's modulus, reduced modulus of elasticity, Poisson's ratio, anisotropic material, surface layer, tangential impulse load, plane elasticity problem, plane stress state, compatibility equation, stress functionAbstract
In the course of research in the field of friction and wear theory, one of the working hypotheses is that under the influence of tangential loads, the outer layers of interacting parts change their flat shape to a wave-like one. That is, the flat cross-sections of the outer layer are distorted and lose their longitudinal stability [1]. Therefore, this problem becomes an anisotropic problem of elasticity theory, taking into account the properties of the outer contact layer. Otherwise, the problem has a peculiarity within the boundary (contact) condition, which complicates its solution in this formulation. However, in a number of calculation cases, it can be assumed that at the moment of interaction of parts on distorted planes, the deformed micro-irregularities on both parts were mutually destroyed due to shear deformation or crushing to such values of micro-irregularity heights at which the outer layers can be considered as layers that have restored their original flat shape (without taking into account worn microportions of material).
As a result of cutting off deformation micro-irregularities under the die and in front of the die, the outer layers of interacting parts restore their original flat (pre-deformation) shape as a result of brittle and plastic wear.
Therefore, when assessing the stress-strain state of interacting parts, it can be assumed that two elastic half-spaces are operating under the influence of a system of vertical and tangential forces.
Thus, the problem under consideration can be reduced to a plane problem of elasticity theory under the influence of a vertical weight load P and a tangential load fP caused by shear resistance or deformation (wave) micro-irregularities. In other words, in this problem, we neglect the influence of deformation waves formed as a result of loss of longitudinal stability on the stress-strain state of the outer layer of the part.
In this case, the influence of deformation waves of one part on the loaded half-space of the second part is replaced by a system of impulse (periodic) forces.
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