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A fast method for computing time‐dependent normal pressure distributions with cellular automaton
Author(s) -
Graf Matthias,
Ostermeyer G.P.
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910040
Subject(s) - cellular automaton , plateau (mathematics) , limit (mathematics) , brake , statistical physics , automaton , mechanics , stability (learning theory) , distribution (mathematics) , power (physics) , computer science , boundary (topology) , boundary value problem , dissipation , materials science , biological system , algorithm , physics , mathematics , mathematical analysis , thermodynamics , theoretical computer science , biology , machine learning , metallurgy
When two bodies slide against each other, one part of the dissipated energy causes a topography change. Tribological research on brake bads shows a rich dynamic of the boundary layer: plateau‐like structures of a typical length scale grow with time due to agglomerating wear particles and collapse spontaneously at a stability limit [4], [1]. This time‐dependent behaviour can be modeled with cellular automata, which consider local resolution of temperature, wear particle density and frictional power [4]. Beside this the instationary normal pressure distribution and the distinction between areas with and without contact is expected to have a significant influence [3]. This paper derives a fast scheme to estimate the time‐variant pressure distribution of a deterministic and dynamic topography by a cellular automaton. The approach is discussed in the light of computational performance and the solution's characteristics. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)