Synergetic model of boundary friction taking into account spatial nonuniformity of stresses, strain, and temperature

Lyashenko, I. A.; Manko, N. N.

doi:10.1134/s1063784214120172

Cited by 2 publications

(2 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The system of equations was solved numerically (see Section 3) within the time interval ∈ [0, 1000]. The intensity of a stochastic source in function (15) for the formation of initial conditions was chosen to equal = 10. The set of initial conditions was generated only once, and it was used afterward in all cases.…”

Section: Simulation Results and Their Discussionmentioning

confidence: 99%

“…However, the insufficient attention has been paid to studying systems with spatially distributed parameters. For instance, some of such works were devoted to the analysis of the inhomogeneous melting of a lubricant in the contact zone between atomically smooth hard surfaces [15,16]. But the consideration was concentrated on the modes in which a single or-der parameter value was always established in time over the whole contact area, i.e.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Influence of Spatial Inhomogeneity on the Formation of Chaotic Modes at the Self-Organization Process

Liashenko

Lyashenko

2020

Ukr. J. Phys.

Self Cite

View full text Add to dashboard Cite

The Lorentz system of equations, in which gradient terms are taken into account, has been solved numerically. Three fundamentally different modes of evolution are considered. In the first mode, the spatial distribution of the order parameter permanently changes in time, and domains of two types with positive and negative order parameter values are formed. In the second mode, the order parameter distribution is close to the stationary one. Finally, in the third mode, the order parameter is identical over the whole space. The dependences of the average area of domains, their number, and their total area on the time are calculated in the first two cases. In the third case, the contribution of gradient terms completely vanishes, and a classical Lorenz attractor is realized.

show abstract

Section: Simulation Results and Their Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%