Russian Federation
The article is devoted to the construction of spatial model of microsuface module of copper alloy. A real surface has a characteristic roughness associated with the material creating technology, so knowing the geometric parameters of the surface microstructure is very important in studying properties such as microhardness, friction, aero- and gas-dynamic resistance and catalytic activity towards reactions of heterogeneous recombination of atoms in the active centers. To obtain qualitative data on the microsuface morphology, without imposing on the sample to stringent requirements, used a scanning tunneling microscope. Building a model creates a need to recreate the surface topology to study its geometrical properties, expressed through the fractal dimension. Such a simulation should help to study the interaction mechanism between molecules of a rarefied gas with the flying vehicle surface in the solution of gas dynamics problems associated with heat and mass transfer. In MathCAD the calculation of geometric characteristics of a spatial model from the standpoint of the fractal theory for the formation of geometrical shapes and GOST 2789-73 requirements to control their numerical parameters. The example of procedural (algorithmic) construction of geometrical model equivalent to the real is given. It is shown that with sufficient for practical applications accuracy the surface topology can be described by the fractal patterns that take into account irregularities, both at the micro and nanoscale. The proposed algorithm makes it possible to broadcast a method of creating a fractal structure at any detail level. Its positive and negative features based on the midpoint displacement modernized algorithm use are noted. The algorithm correctness for modeling the other materials surfaces geometry is shown.
fractal, scanning tunneling microscopy, surface topology, surface geometry.
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